diff options
| author | Eugeniy Mikhailov <evgmik@gmail.com> | 2012-08-21 16:44:37 -0400 |
|---|---|---|
| committer | Eugeniy Mikhailov <evgmik@gmail.com> | 2012-08-21 16:44:37 -0400 |
| commit | e1d512ed3a302d2afaefeba73ac2596a50ad93f4 (patch) | |
| tree | d71c6d41e253978f35a2da4a0584366734b33382 | |
| parent | 777d076eff48df02f8a8588b989c296dea9ef9dc (diff) | |
| download | Nresonances-e1d512ed3a302d2afaefeba73ac2596a50ad93f4.tar.gz Nresonances-e1d512ed3a302d2afaefeba73ac2596a50ad93f4.zip | |
changed some substitution to better match our XMDS
| -rwxr-xr-x | mathemathica_fwm/RbXMDSSetup.nb | 6799 | ||||
| -rw-r--r-- | xmds2/realistic_Rb/Makefile | 55 | ||||
| -rw-r--r-- | xmds2/realistic_Rb/Makefile.fig | 39 | ||||
| -rw-r--r-- | xmds2/realistic_Rb/Makefile.par | 32 | ||||
| -rw-r--r-- | xmds2/realistic_Rb/Makefile.pp | 62 | ||||
| -rw-r--r-- | xmds2/realistic_Rb/realistic_Rb.xmds | 511 |
6 files changed, 6998 insertions, 500 deletions
diff --git a/mathemathica_fwm/RbXMDSSetup.nb b/mathemathica_fwm/RbXMDSSetup.nb index a8b7155..5be9fee 100755 --- a/mathemathica_fwm/RbXMDSSetup.nb +++ b/mathemathica_fwm/RbXMDSSetup.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 145, 7]
-NotebookDataLength[ 619915, 17921]
-NotebookOptionsPosition[ 611739, 17657]
-NotebookOutlinePosition[ 612103, 17673]
-CellTagsIndexPosition[ 612060, 17670]
+NotebookDataLength[ 837516, 23720]
+NotebookOptionsPosition[ 829286, 23455]
+NotebookOutlinePosition[ 829643, 23471]
+CellTagsIndexPosition[ 829600, 23468]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
@@ -48,7 +48,9 @@ Cell[BoxData[ RowBox[{"DMSymbol", "\[Rule]", "\[Rho]"}], ",",
RowBox[{"Label", "\[Rule]", "None"}], ",",
RowBox[{"ComplexExpandVariables", "\[Rule]", "False"}], ",",
- RowBox[{"TimeVariable", "\[Rule]", "t"}]}], "}"}]], "Output"]
+ RowBox[{"TimeVariable", "\[Rule]", "t"}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569228654716*^9, 3.554570580065393*^9,
+ 3.554570640474395*^9}]
}, Open ]],
Cell["\<\
@@ -88,7 +90,9 @@ Cell[BoxData[ RowBox[{"NuclearSpin", "\[Rule]",
FractionBox["3", "2"]}], ",",
RowBox[{"NaturalWidth", "\[Rule]", "0"}], ",",
- RowBox[{"Parity", "\[Rule]", "Even"}]}], "}"}]], "Output"]
+ RowBox[{"Parity", "\[Rule]", "Even"}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569228708644*^9, 3.554570580071758*^9,
+ 3.554570640531323*^9}]
}, Open ]],
Cell[CellGroupData[{
@@ -128,7 +132,9 @@ Cell[BoxData[ RowBox[{"Parity", "\[Rule]", "Odd"}], ",",
RowBox[{
RowBox[{"BranchingRatio", "[", "0", "]"}], "\[Rule]", "1"}]}],
- "}"}]], "Output"]
+ "}"}]], "Output",
+ CellChangeTimes->{3.554569228753817*^9, 3.554570580077429*^9,
+ 3.554570640538216*^9}]
}, Open ]],
Cell[CellGroupData[{
@@ -168,7 +174,9 @@ Cell[BoxData[ RowBox[{"Parity", "\[Rule]", "Odd"}], ",",
RowBox[{
RowBox[{"BranchingRatio", "[", "0", "]"}], "\[Rule]", "1"}]}],
- "}"}]], "Output"]
+ "}"}]], "Output",
+ CellChangeTimes->{3.554569228807532*^9, 3.554570580143681*^9,
+ 3.554570640583111*^9}]
}, Open ]],
Cell["\<\
@@ -461,7 +469,9 @@ Cell[BoxData[ RowBox[{"BranchingRatio", "[", "0", "]"}], "\[Rule]", "1"}], ",",
RowBox[{"F", "\[Rule]", "2"}], ",",
RowBox[{"M", "\[Rule]",
- RowBox[{"-", "2"}]}]}], "]"}]}], "}"}]], "Output"]
+ RowBox[{"-", "2"}]}]}], "]"}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569229028195*^9, 3.554570580389244*^9,
+ 3.554570640815684*^9}]
}, Open ]],
Cell[TextData[{
@@ -533,7 +543,9 @@ Cell[BoxData[ RowBox[{"Parameterization", "\[Rule]", "AngleEllipticity"}], ",",
RowBox[{"CartesianCoordinates", "\[Rule]",
RowBox[{"{",
- RowBox[{"x", ",", "y", ",", "z"}], "}"}]}]}], "}"}]], "Output"]
+ RowBox[{"x", ",", "y", ",", "z"}], "}"}]}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569229170436*^9, 3.55457058045112*^9,
+ 3.55457064084322*^9}]
}, Open ]],
Cell[TextData[{
@@ -781,7 +793,9 @@ Cell[BoxData[ RowBox[{"0", ",",
RowBox[{"{",
RowBox[{"Dipole", ",", "1"}], "}"}], ",", "2"}], "]"}]}]]}], ",",
- "0"}], "}"}]], "Output"]
+ "0"}], "}"}]], "Output",
+ CellChangeTimes->{3.554569229495671*^9, 3.554570580538328*^9,
+ 3.554570640944548*^9}]
}, Open ]],
Cell["\<\
@@ -3228,7 +3242,9 @@ Cell[BoxData[ Offset[0.4]},
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
+ CellChangeTimes->{3.554569230251296*^9, 3.554570581141229*^9,
+ 3.55457064151823*^9}]
}, Open ]],
Cell["\<\
@@ -3315,7 +3331,9 @@ Cell[BoxData[ ArrowBox[{{-1.04, -0.2}, {-1.96, 3.6416666666666666`}}]},
{PointSize[0.0225]}},
ImagePadding->{{2., 2}, {2., 2.}},
- ImageSize->244.]], "Output"]
+ ImageSize->244.]], "Output",
+ CellChangeTimes->{3.554569231386154*^9, 3.55457058234087*^9,
+ 3.554570642724843*^9}]
}, Open ]],
Cell[TextData[{
@@ -3443,7 +3461,9 @@ Cell[BoxData[ RowBox[{"{",
RowBox[{"2", ",", "2"}], "}"}], ",",
RowBox[{"{",
- RowBox[{"2", ",", "2"}], "}"}]}], "}"}]], "Output"],
+ RowBox[{"2", ",", "2"}], "}"}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569231500016*^9, 3.554570582543926*^9,
+ 3.554570642810231*^9}],
Cell[BoxData[
RowBox[{"{",
@@ -3479,7 +3499,9 @@ Cell[BoxData[ RowBox[{
SubscriptBox["\[Omega]", "1"], "-",
SubscriptBox["\[Omega]", "2"], "+",
- SubscriptBox["\[Omega]", "3"]}]}], "}"}]], "Output"]
+ SubscriptBox["\[Omega]", "3"]}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569231500016*^9, 3.554570582543926*^9,
+ 3.5545706428137*^9}]
}, Open ]],
Cell["\<\
@@ -3707,7 +3729,9 @@ Cell[BoxData[ Offset[0.4]},
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
+ CellChangeTimes->{3.554569231917731*^9, 3.554570582638129*^9,
+ 3.554570642904566*^9}]
}, Open ]],
Cell[TextData[{
@@ -4654,7 +4678,9 @@ Cell[BoxData[ Offset[0.4]},
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
+ CellChangeTimes->{3.554569232380987*^9, 3.554570583042595*^9,
+ 3.554570643338553*^9}]
}, Open ]],
Cell[TextData[{
@@ -5079,7 +5105,9 @@ Cell[BoxData[ Offset[0.4]},
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
+ CellChangeTimes->{3.55456923250015*^9, 3.554570583105691*^9,
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Cell["\<\
@@ -5121,7 +5149,9 @@ Cell[BoxData[ RowBox[{"HyperfineA", "[", "0", "]"}]}], "4"], "-",
FractionBox[
RowBox[{"5", " ",
- RowBox[{"HyperfineA", "[", "1", "]"}]}], "4"]}]], "Output"]
+ RowBox[{"HyperfineA", "[", "1", "]"}]}], "4"]}]], "Output",
+ CellChangeTimes->{3.554569232931236*^9, 3.554570583353512*^9,
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@@ -5158,7 +5188,9 @@ Cell[BoxData[ RowBox[{"HyperfineA", "[", "0", "]"}]}], "4"], "-",
FractionBox[
RowBox[{"5", " ",
- RowBox[{"HyperfineA", "[", "1", "]"}]}], "4"]}]], "Output"]
+ RowBox[{"HyperfineA", "[", "1", "]"}]}], "4"]}]], "Output",
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@@ -5198,7 +5230,9 @@ Cell[BoxData[ RowBox[{"HyperfineA", "[", "2", "]"}]}], "4"], "-",
FractionBox[
RowBox[{"3", " ",
- RowBox[{"HyperfineB", "[", "2", "]"}]}], "4"]}]], "Output"]
+ RowBox[{"HyperfineB", "[", "2", "]"}]}], "4"]}]], "Output",
+ CellChangeTimes->{3.554569233218096*^9, 3.554570583941672*^9,
+ 3.554570643854974*^9}]
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@@ -5560,7 +5594,9 @@ Cell[BoxData[ Offset[0.4]},
Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
+ CellChangeTimes->{3.554569233311345*^9, 3.55457058405622*^9,
+ 3.554570644126044*^9}]
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Cell["\<\
@@ -5636,7 +5672,9 @@ Cell[BoxData[ ArrowBox[{{-1.04, -0.35000000000000003`}, {-1.96, 3.4916666666666667`}}]},
{PointSize[0.0225]}},
ImagePadding->{{2., 2}, {2., 2.}},
- ImageSize->244.]], "Output"]
+ ImageSize->244.]], "Output",
+ CellChangeTimes->{3.554569233964627*^9, 3.554570584652609*^9,
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Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
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Offset[0.2]}, "RowsIndexed" -> {}}], "\[NoBreak]", ")"}],
Function[BoxForm`e$,
- MatrixForm[BoxForm`e$]]]], "Output"]
+ MatrixForm[BoxForm`e$]]]], "Output",
+ CellChangeTimes->{3.554569234483766*^9, 3.554570585291193*^9,
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}, Open ]],
Cell["Here are the evolution equations.", "Text",
@@ -7219,7 +7261,7 @@ Cell[BoxData[ DynamicBox[ToBoxes[
FEPrivate`FrontEndResource["FEStrings", "sizeExplanation"],
StandardForm],
- ImageSizeCache->{299., {3., 9.}}],
+ ImageSizeCache->{370., {3., 11.}}],
StripOnInput->False,
DynamicUpdating->True], "Panel",
StripOnInput->False,
@@ -7247,7 +7289,7 @@ Cell[BoxData[ DynamicBox[ToBoxes[
FEPrivate`FrontEndResource["FEStrings", "sizeShowLess"],
StandardForm],
- ImageSizeCache->{54., {1., 9.}}],
+ ImageSizeCache->{67., {0., 11.}}],
StripOnInput->False,
DynamicUpdating->True], "Panel",
StripOnInput->False,
@@ -7255,7 +7297,7 @@ Cell[BoxData[ Appearance->Automatic,
ButtonFunction:>OutputSizeLimit`ButtonFunction[
Function[{OutputSizeLimit`Dump`x$},
- TableForm[OutputSizeLimit`Dump`x$]], 87, 23290106009964751349, 5/
+ TableForm[OutputSizeLimit`Dump`x$]], 24, 23295139771439252080, 5/
2],
Enabled->True,
Evaluator->Automatic,
@@ -7266,7 +7308,7 @@ Cell[BoxData[ DynamicBox[ToBoxes[
FEPrivate`FrontEndResource["FEStrings", "sizeShowMore"],
StandardForm],
- ImageSizeCache->{60., {1., 9.}}],
+ ImageSizeCache->{70., {0., 11.}}],
StripOnInput->False,
DynamicUpdating->True], "Panel",
StripOnInput->False,
@@ -7274,7 +7316,7 @@ Cell[BoxData[ Appearance->Automatic,
ButtonFunction:>OutputSizeLimit`ButtonFunction[
Function[{OutputSizeLimit`Dump`x$},
- TableForm[OutputSizeLimit`Dump`x$]], 87, 23290106009964751349, 5
+ TableForm[OutputSizeLimit`Dump`x$]], 24, 23295139771439252080, 5
2],
Enabled->True,
Evaluator->Automatic,
@@ -7285,7 +7327,7 @@ Cell[BoxData[ DynamicBox[ToBoxes[
FEPrivate`FrontEndResource["FEStrings", "sizeShowAll"],
StandardForm],
- ImageSizeCache->{92., {3., 9.}}],
+ ImageSizeCache->{107., {3., 11.}}],
StripOnInput->False,
DynamicUpdating->True], "Panel",
StripOnInput->False,
@@ -7293,7 +7335,7 @@ Cell[BoxData[ Appearance->Automatic,
ButtonFunction:>OutputSizeLimit`ButtonFunction[
Function[{OutputSizeLimit`Dump`x$},
- TableForm[OutputSizeLimit`Dump`x$]], 87, 23290106009964751349,
+ TableForm[OutputSizeLimit`Dump`x$]], 24, 23295139771439252080,
Infinity],
Enabled->True,
Evaluator->Automatic,
@@ -7304,7 +7346,7 @@ Cell[BoxData[ DynamicBox[ToBoxes[
FEPrivate`FrontEndResource["FEStrings", "sizeChangeLimit"],
StandardForm],
- ImageSizeCache->{78., {1., 9.}}],
+ ImageSizeCache->{100., {0., 10.}}],
StripOnInput->False,
DynamicUpdating->True], "Panel",
StripOnInput->False,
@@ -7337,8 +7379,10 @@ Cell[BoxData[ DefaultBaseStyle->{},
FrameMargins->5],
Deploy,
- DefaultBaseStyle->"Deploy"],
- Out[87]]], "Output"]
+ DefaultBaseStyle->{Deployed -> True}],
+ Out[24]]], "Output",
+ CellChangeTimes->{3.554569234735175*^9, 3.554570585649747*^9,
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@@ -7417,7 +7461,9 @@ Cell[BoxData[ RowBox[{
RowBox[{"NaturalWidth", "[", "2", "]"}], "\[Rule]",
RowBox[{"38.11730983274125`", " ", "Hertz", " ", "Mega"}]}]}],
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RowBox[{"{", "253", "}"}], ",",
RowBox[{"{", "254", "}"}], ",",
- RowBox[{"{", "255", "}"}]}], "}"}]], "Output"]
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@@ -8133,7 +8181,9 @@ Cell[BoxData[ RowBox[{"-", "2"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"2", ",", "2", ",",
- RowBox[{"-", "2"}]}], "}"}]}]], "[", "t", "]"}]}], "}"}]], "Output"]
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@@ -8151,135 +8201,5819 @@ Cell[BoxData[ "]"}]], "Input"],
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- BaseStyle->{Deployed -> False},
- Frame->True,
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AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
AxesOrigin->{0, 0},
Frame->True,
PlotRange->{All, All},
PlotRangeClipping->True,
- PlotRangePadding->{Automatic, Automatic}]], "Output"]
+ PlotRangePadding->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{3.5545692392228*^9, 3.55457059027492*^9,
+ 3.554570649616191*^9}]
}, Open ]]
}, Open ]],
@@ -14052,15 +19802,22 @@ Cell[BoxData[ RowBox[{"hb", "[", "2", "]"}], "\[Equal]", "7.85178251911697`*^7"}], ",",
RowBox[{
RowBox[{"g", "[", "2", "]"}], "\[Equal]", "3.8117309832741246`*^7"}]}],
- "}"}]], "Output"],
+ "}"}]], "Output",
+ CellChangeTimes->{3.554569239338414*^9, 3.554570590470957*^9,
+ 3.554570649731472*^9}],
Cell[BoxData["\<\"ha0 = 2.1471788680034824e10;\\nha1 = \
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-\\nhb2 = 7.85178251911697e7;\\ng2 = 3.8117309832741246e7;\\n\"\>"], "Output"]
+\\nhb2 = 7.85178251911697e7;\\ng2 = 3.8117309832741246e7;\\n\"\>"], "Output",
+ CellChangeTimes->{3.554569239338414*^9, 3.554570590470957*^9,
+ 3.554570649796009*^9}]
}, Open ]],
Cell["Convert equations to C form", "Text"],
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.554568964254851*^9, 3.554568970665412*^9}}],
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Cell[CellGroupData[{
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@@ -14131,7 +19888,9 @@ Cell[BoxData[ RowBox[{"-", "1"}]}], "}"}], ",",
RowBox[{"{",
RowBox[{"2", ",", "2", ",",
- RowBox[{"-", "2"}]}], "}"}]}], "}"}]], "Output"],
+ RowBox[{"-", "2"}]}], "}"}]}], "}"}]], "Output",
+ CellChangeTimes->{3.55456923939103*^9, 3.55457059056514*^9,
+ 3.55457064995498*^9}],
Cell[BoxData[
RowBox[{"{",
@@ -14190,7 +19949,9 @@ Cell[BoxData[ RowBox[{"{",
RowBox[{"2", ",", "2", ",",
RowBox[{"-", "2"}]}], "}"}], "\[Rule]", "\<\"16\"\>"}]}],
- "}"}]], "Output"]
+ "}"}]], "Output",
+ CellChangeTimes->{3.55456923939103*^9, 3.55457059056514*^9,
+ 3.554570649957038*^9}]
}, Open ]],
Cell[CellGroupData[{
@@ -14344,17 +20105,21 @@ Cell[BoxData[{ RowBox[{"\"\<g\>\"", "<>", "a"}]}], ",",
RowBox[{
RowBox[{"\"\<W(\>\"", "~~", "a_", "~~", "\"\<)\>\""}], "\[RuleDelayed]",
- RowBox[{"\"\<E\>\"", "<>", "a"}]}], ",",
+ RowBox[{"\"\<E\>\"", "<>", "a", "<>", "\"\<a\>\""}]}], ",",
RowBox[{
RowBox[{"\"\<Wc(\>\"", "~~", "a_", "~~", "\"\<)\>\""}],
"\[RuleDelayed]",
- RowBox[{"\"\<Ec\>\"", "<>", "a"}]}], ",",
+ RowBox[{"\"\<E\>\"", "<>", "a", "<>", "\"\<ac\>\""}]}], ",",
RowBox[{
RowBox[{"\"\<d(\>\"", "~~", "a_", "~~", "\"\<)\>\""}], "\[RuleDelayed]",
- RowBox[{"\"\<d\>\"", "<>", "a"}]}], ",",
+ RowBox[{"\"\<delta\>\"", "<>", "a"}]}], ",",
RowBox[{
RowBox[{"\"\<k(\>\"", "~~", "a_", "~~", "\"\<)\>\""}], "\[RuleDelayed]",
- RowBox[{"\"\<k\>\"", "<>", "a"}]}]}], "}"}]}], "]"}]}], "Input"],
+ RowBox[{"\"\<Kvec\>\"", "<>", "a"}]}]}], "}"}]}], "]"}]}], "Input",
+ CellChangeTimes->{{3.55456914848632*^9, 3.554569164767181*^9},
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@@ -16009,87 +21774,97 @@ Cell[BoxData[ RowBox[{"r", "[",
RowBox[{"\<\"16\"\>", ",", "\<\"04\"\>"}], "]"}], " ",
RowBox[{"Wc", "[", "4", "]"}]}],
- RowBox[{"4", " ", "rt6"}]]}], ")"}]}]}]}]}], "}"}]], "Output"],
+ RowBox[{"4", " ", "rt6"}]]}], ")"}]}]}]}]}], "}"}]], "Output",
+ CellChangeTimes->{3.554569170819231*^9, 3.554569248122409*^9,
+ 3.554569293506631*^9, 3.554569324777101*^9, 3.554569450471414*^9,
+ 3.554569500532859*^9, 3.554569643540884*^9, 3.554570590676364*^9,
+ 3.554570650112442*^9}],
Cell[BoxData["\<\"rt6 = 2.449489742783178;\\nrt3 = 1.7320508075688772;\\nrt2 \
= 1.4142135623730951;\\ndr0101_dt = gt/8. - gt*r0101 + (g1*r0909)/2. + \
-(g2*r1313)/6. - i*((r0113*E4)/(4.*rt6) - (r1301*Ec4)/(4.*rt6));\\ndr0113_dt = \
-(-(gt*r0113) - (gt + g2)*r0113)/2. - i*(WL*r0113 - ((2*WL)/3. - d1 + d2 - d3 \
-- v*k1 + v*k2 - v*k3)*r0113 + (r0101*Ec4)/(4.*rt6) - \
-(r1313*Ec4)/(4.*rt6));\\ndr0202_dt = gt/8. - gt*r0202 + (g1*r0909)/4. + \
-(g1*r1010)/4. + (g2*r1313)/12. + (g2*r1414)/4. - i*((r0214*E4)/8. - \
-(r1402*Ec4)/8.);\\ndr0214_dt = (-(gt*r0214) - (gt + g2)*r0214)/2. - \
-i*((WL*r0214)/2. - (-d1 + d2 - d3 - v*k1 + v*k2 - v*k3)*r0214 - \
-(r0206*Ec3)/(8.*rt3) + (r0202*Ec4)/8. - (r1414*Ec4)/8.);\\ndr0303_dt = gt/8. \
-- gt*r0303 + (g1*r0909)/12. + (g1*r1010)/3. + (g1*r1111)/12. + (g2*r1313)/4. \
-+ (g2*r1515)/4. - i*((r0309*E1)/(4.*rt6) + (r0315*E4)/8. - \
-(r0903*Ec1)/(4.*rt6) - (r1503*Ec4)/8.);\\ndr0309_dt = (-(gt*r0309) - (gt + \
-g1)*r0309)/2. - i*(-((-WL/6. - d1 - v*k1)*r0309) + (r0303*Ec1)/(4.*rt6) - \
-(r0909*Ec1)/(4.*rt6) - (r0307*Ec2)/(4.*rt6) - (r1509*Ec4)/8.);\\ndr0315_dt = \
-(-(gt*r0315) - (gt + g2)*r0315)/2. - i*(-(((-2*WL)/3. - d1 + d2 - d3 - v*k1 + \
-v*k2 - v*k3)*r0315) - (r0915*Ec1)/(4.*rt6) - (r0307*Ec3)/8. + (r0303*Ec4)/8. \
-- (r1515*Ec4)/8.);\\ndr0404_dt = gt/8. - gt*r0404 + (g1*r1010)/4. + \
-(g1*r1111)/4. + (g2*r1414)/4. + (g2*r1515)/12. + (g2*r1616)/6. - \
-i*((r0410*E1)/(4.*rt2) + (r0416*E4)/(4.*rt6) - (r1004*Ec1)/(4.*rt2) - \
-(r1604*Ec4)/(4.*rt6));\\ndr0410_dt = (-(gt*r0410) - (gt + g1)*r0410)/2. - \
-i*(-(WL*r0410)/2. + (d1 + v*k1)*r0410 + (r0404*Ec1)/(4.*rt2) - \
-(r1010*Ec1)/(4.*rt2) - (r0408*Ec2)/(4.*rt6) - \
-(r1610*Ec4)/(4.*rt6));\\ndr0416_dt = (-(gt*r0416) - (gt + g2)*r0416)/2. - \
-i*(-(WL*r0416)/2. - ((-4*WL)/3. - d1 + d2 - d3 - v*k1 + v*k2 - v*k3)*r0416 - \
-(r1016*Ec1)/(4.*rt2) - (r0408*Ec3)/(4.*rt2) + (r0404*Ec4)/(4.*rt6) - \
-(r1616*Ec4)/(4.*rt6));\\ndr0505_dt = gt/8. - gt*r0505 + (g1*r1111)/2. + \
-(g2*r1515)/6. + (g2*r1616)/3. - i*((r0511*E1)/4. - \
-(r1105*Ec1)/4.);\\ndr0511_dt = (-(gt*r0511) - (gt + g1)*r0511)/2. - \
-i*(-(WL*r0511) - (WL/6. - d1 - v*k1)*r0511 + (r0505*Ec1)/4. - \
-(r1111*Ec1)/4.);\\ndr0602_dt = -(gt*r0602) - i*(-(WL*r0602)/2. + (-WL/2. - d1 \
-+ d2 - v*k1 + v*k2)*r0602 + (r0614*E4)/8. + \
-(r1402*Ec3)/(8.*rt3));\\ndr0606_dt = gt/8. - gt*r0606 + (g1*r0909)/12. + \
-(g1*r1010)/12. + (g2*r1313)/4. + (g2*r1414)/12. - i*(-(r0614*E3)/(8.*rt3) + \
-(r1406*Ec3)/(8.*rt3));\\ndr0614_dt = (-(gt*r0614) - (gt + g2)*r0614)/2. - \
-i*((-WL/2. - d1 + d2 - v*k1 + v*k2)*r0614 - (-d1 + d2 - d3 - v*k1 + v*k2 - \
-v*k3)*r0614 - (r0606*Ec3)/(8.*rt3) + (r1414*Ec3)/(8.*rt3) + \
-(r0602*Ec4)/8.);\\ndr0703_dt = -(gt*r0703) - i*((-d1 + d2 - v*k1 + \
-v*k2)*r0703 + (r0709*E1)/(4.*rt6) + (r0715*E4)/8. + (r0903*Ec2)/(4.*rt6) + \
-(r1503*Ec3)/8.);\\ndr0707_dt = gt/8. - gt*r0707 + (g1*r0909)/12. + \
-(g1*r1111)/12. + (g2*r1313)/4. + (g2*r1414)/3. + (g2*r1515)/4. - \
-i*(-(r0709*E2)/(4.*rt6) - (r0715*E3)/8. + (r0907*Ec2)/(4.*rt6) + \
-(r1507*Ec3)/8.);\\ndr0709_dt = (-(gt*r0709) - (gt + g1)*r0709)/2. - \
-i*(-((-WL/6. - d1 - v*k1)*r0709) + (-d1 + d2 - v*k1 + v*k2)*r0709 + \
-(r0703*Ec1)/(4.*rt6) - (r0707*Ec2)/(4.*rt6) + (r0909*Ec2)/(4.*rt6) + \
-(r1509*Ec3)/8.);\\ndr0715_dt = (-(gt*r0715) - (gt + g2)*r0715)/2. - i*((-d1 + \
-d2 - v*k1 + v*k2)*r0715 - ((-2*WL)/3. - d1 + d2 - d3 - v*k1 + v*k2 - \
-v*k3)*r0715 + (r0915*Ec2)/(4.*rt6) - (r0707*Ec3)/8. + (r1515*Ec3)/8. + \
-(r0703*Ec4)/8.);\\ndr0804_dt = -(gt*r0804) - i*((WL*r0804)/2. + (WL/2. - d1 + \
-d2 - v*k1 + v*k2)*r0804 + (r0810*E1)/(4.*rt2) + (r0816*E4)/(4.*rt6) + \
-(r1004*Ec2)/(4.*rt6) + (r1604*Ec3)/(4.*rt2));\\ndr0808_dt = gt/8. - gt*r0808 \
-+ (g1*r1010)/12. + (g1*r1111)/12. + (g2*r1414)/12. + (g2*r1515)/4. + \
-(g2*r1616)/2. - i*(-(r0810*E2)/(4.*rt6) - (r0816*E3)/(4.*rt2) + \
-(r1008*Ec2)/(4.*rt6) + (r1608*Ec3)/(4.*rt2));\\ndr0810_dt = (-(gt*r0810) - \
-(gt + g1)*r0810)/2. - i*((d1 + v*k1)*r0810 + (WL/2. - d1 + d2 - v*k1 + \
-v*k2)*r0810 + (r0804*Ec1)/(4.*rt2) - (r0808*Ec2)/(4.*rt6) + \
-(r1010*Ec2)/(4.*rt6) + (r1610*Ec3)/(4.*rt2));\\ndr0816_dt = (-(gt*r0816) - \
-(gt + g2)*r0816)/2. - i*((WL/2. - d1 + d2 - v*k1 + v*k2)*r0816 - ((-4*WL)/3. \
-- d1 + d2 - d3 - v*k1 + v*k2 - v*k3)*r0816 + (r1016*Ec2)/(4.*rt6) - \
-(r0808*Ec3)/(4.*rt2) + (r1616*Ec3)/(4.*rt2) + \
-(r0804*Ec4)/(4.*rt6));\\ndr0909_dt = -((gt + g1)*r0909) - \
-i*(-(r0309*E1)/(4.*rt6) + (r0709*E2)/(4.*rt6) + (r0903*Ec1)/(4.*rt6) - \
-(r0907*Ec2)/(4.*rt6));\\ndr0915_dt = (-((gt + g1)*r0915) - (gt + \
-g2)*r0915)/2. - i*((-WL/6. - d1 - v*k1)*r0915 - ((-2*WL)/3. - d1 + d2 - d3 - \
-v*k1 + v*k2 - v*k3)*r0915 - (r0315*E1)/(4.*rt6) + (r0715*E2)/(4.*rt6) - \
-(r0907*Ec3)/8. + (r0903*Ec4)/8.);\\ndr1010_dt = -((gt + g1)*r1010) - \
-i*(-(r0410*E1)/(4.*rt2) + (r0810*E2)/(4.*rt6) + (r1004*Ec1)/(4.*rt2) - \
-(r1008*Ec2)/(4.*rt6));\\ndr1016_dt = (-((gt + g1)*r1016) - (gt + \
-g2)*r1016)/2. - i*(-((d1 + v*k1)*r1016) - ((-4*WL)/3. - d1 + d2 - d3 - v*k1 + \
-v*k2 - v*k3)*r1016 - (r0416*E1)/(4.*rt2) + (r0816*E2)/(4.*rt6) - \
-(r1008*Ec3)/(4.*rt2) + (r1004*Ec4)/(4.*rt6));\\ndr1111_dt = -((gt + \
-g1)*r1111) - i*(-(r0511*E1)/4. + (r1105*Ec1)/4.);\\ndr1313_dt = -((gt + \
-g2)*r1313) - i*(-(r0113*E4)/(4.*rt6) + (r1301*Ec4)/(4.*rt6));\\ndr1414_dt = \
--((gt + g2)*r1414) - i*((r0614*E3)/(8.*rt3) - (r0214*E4)/8. - \
-(r1406*Ec3)/(8.*rt3) + (r1402*Ec4)/8.);\\ndr1515_dt = -((gt + g2)*r1515) - \
-i*((r0715*E3)/8. - (r0315*E4)/8. - (r1507*Ec3)/8. + \
-(r1503*Ec4)/8.);\\ndr1616_dt = -((gt + g2)*r1616) - i*((r0816*E3)/(4.*rt2) - \
-(r0416*E4)/(4.*rt6) - (r1608*Ec3)/(4.*rt2) + (r1604*Ec4)/(4.*rt6));\\n\"\>"], \
-"Output"]
+(g2*r1313)/6. - i*((r0113*E4a)/(4.*rt6) - (r1301*E4ac)/(4.*rt6));\\ndr0113_dt \
+= (-(gt*r0113) - (gt + g2)*r0113)/2. - i*(WL*r0113 - ((2*WL)/3. - delta1 + \
+delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0113 + (r0101*E4ac)/(4.*rt6) \
+- (r1313*E4ac)/(4.*rt6));\\ndr0202_dt = gt/8. - gt*r0202 + (g1*r0909)/4. + \
+(g1*r1010)/4. + (g2*r1313)/12. + (g2*r1414)/4. - i*((r0214*E4a)/8. - \
+(r1402*E4ac)/8.);\\ndr0214_dt = (-(gt*r0214) - (gt + g2)*r0214)/2. - \
+i*((WL*r0214)/2. - (-delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - \
+v*Kvec3)*r0214 - (r0206*E3ac)/(8.*rt3) + (r0202*E4ac)/8. - \
+(r1414*E4ac)/8.);\\ndr0303_dt = gt/8. - gt*r0303 + (g1*r0909)/12. + \
+(g1*r1010)/3. + (g1*r1111)/12. + (g2*r1313)/4. + (g2*r1515)/4. - \
+i*((r0309*E1a)/(4.*rt6) + (r0315*E4a)/8. - (r0903*E1ac)/(4.*rt6) - \
+(r1503*E4ac)/8.);\\ndr0309_dt = (-(gt*r0309) - (gt + g1)*r0309)/2. - \
+i*(-((-WL/6. - delta1 - v*Kvec1)*r0309) + (r0303*E1ac)/(4.*rt6) - \
+(r0909*E1ac)/(4.*rt6) - (r0307*E2ac)/(4.*rt6) - (r1509*E4ac)/8.);\\ndr0315_dt \
+= (-(gt*r0315) - (gt + g2)*r0315)/2. - i*(-(((-2*WL)/3. - delta1 + delta2 - \
+delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0315) - (r0915*E1ac)/(4.*rt6) - \
+(r0307*E3ac)/8. + (r0303*E4ac)/8. - (r1515*E4ac)/8.);\\ndr0404_dt = gt/8. - \
+gt*r0404 + (g1*r1010)/4. + (g1*r1111)/4. + (g2*r1414)/4. + (g2*r1515)/12. + \
+(g2*r1616)/6. - i*((r0410*E1a)/(4.*rt2) + (r0416*E4a)/(4.*rt6) - \
+(r1004*E1ac)/(4.*rt2) - (r1604*E4ac)/(4.*rt6));\\ndr0410_dt = (-(gt*r0410) - \
+(gt + g1)*r0410)/2. - i*(-(WL*r0410)/2. + (delta1 + v*Kvec1)*r0410 + \
+(r0404*E1ac)/(4.*rt2) - (r1010*E1ac)/(4.*rt2) - (r0408*E2ac)/(4.*rt6) - \
+(r1610*E4ac)/(4.*rt6));\\ndr0416_dt = (-(gt*r0416) - (gt + g2)*r0416)/2. - \
+i*(-(WL*r0416)/2. - ((-4*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + \
+v*Kvec2 - v*Kvec3)*r0416 - (r1016*E1ac)/(4.*rt2) - (r0408*E3ac)/(4.*rt2) + \
+(r0404*E4ac)/(4.*rt6) - (r1616*E4ac)/(4.*rt6));\\ndr0505_dt = gt/8. - \
+gt*r0505 + (g1*r1111)/2. + (g2*r1515)/6. + (g2*r1616)/3. - i*((r0511*E1a)/4. \
+- (r1105*E1ac)/4.);\\ndr0511_dt = (-(gt*r0511) - (gt + g1)*r0511)/2. - \
+i*(-(WL*r0511) - (WL/6. - delta1 - v*Kvec1)*r0511 + (r0505*E1ac)/4. - \
+(r1111*E1ac)/4.);\\ndr0602_dt = -(gt*r0602) - i*(-(WL*r0602)/2. + (-WL/2. - \
+delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0602 + (r0614*E4a)/8. + \
+(r1402*E3ac)/(8.*rt3));\\ndr0606_dt = gt/8. - gt*r0606 + (g1*r0909)/12. + \
+(g1*r1010)/12. + (g2*r1313)/4. + (g2*r1414)/12. - i*(-(r0614*E3a)/(8.*rt3) + \
+(r1406*E3ac)/(8.*rt3));\\ndr0614_dt = (-(gt*r0614) - (gt + g2)*r0614)/2. - \
+i*((-WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0614 - (-delta1 + delta2 - \
+delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0614 - (r0606*E3ac)/(8.*rt3) + \
+(r1414*E3ac)/(8.*rt3) + (r0602*E4ac)/8.);\\ndr0703_dt = -(gt*r0703) - \
+i*((-delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0703 + (r0709*E1a)/(4.*rt6) + \
+(r0715*E4a)/8. + (r0903*E2ac)/(4.*rt6) + (r1503*E3ac)/8.);\\ndr0707_dt = \
+gt/8. - gt*r0707 + (g1*r0909)/12. + (g1*r1111)/12. + (g2*r1313)/4. + \
+(g2*r1414)/3. + (g2*r1515)/4. - i*(-(r0709*E2a)/(4.*rt6) - (r0715*E3a)/8. + \
+(r0907*E2ac)/(4.*rt6) + (r1507*E3ac)/8.);\\ndr0709_dt = (-(gt*r0709) - (gt + \
+g1)*r0709)/2. - i*(-((-WL/6. - delta1 - v*Kvec1)*r0709) + (-delta1 + delta2 - \
+v*Kvec1 + v*Kvec2)*r0709 + (r0703*E1ac)/(4.*rt6) - (r0707*E2ac)/(4.*rt6) + \
+(r0909*E2ac)/(4.*rt6) + (r1509*E3ac)/8.);\\ndr0715_dt = (-(gt*r0715) - (gt + \
+g2)*r0715)/2. - i*((-delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0715 - ((-2*WL)/3. \
+- delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0715 + \
+(r0915*E2ac)/(4.*rt6) - (r0707*E3ac)/8. + (r1515*E3ac)/8. + (r0703*E4ac)/8.);\
+\\ndr0804_dt = -(gt*r0804) - i*((WL*r0804)/2. + (WL/2. - delta1 + delta2 - \
+v*Kvec1 + v*Kvec2)*r0804 + (r0810*E1a)/(4.*rt2) + (r0816*E4a)/(4.*rt6) + \
+(r1004*E2ac)/(4.*rt6) + (r1604*E3ac)/(4.*rt2));\\ndr0808_dt = gt/8. - \
+gt*r0808 + (g1*r1010)/12. + (g1*r1111)/12. + (g2*r1414)/12. + (g2*r1515)/4. + \
+(g2*r1616)/2. - i*(-(r0810*E2a)/(4.*rt6) - (r0816*E3a)/(4.*rt2) + \
+(r1008*E2ac)/(4.*rt6) + (r1608*E3ac)/(4.*rt2));\\ndr0810_dt = (-(gt*r0810) - \
+(gt + g1)*r0810)/2. - i*((delta1 + v*Kvec1)*r0810 + (WL/2. - delta1 + delta2 \
+- v*Kvec1 + v*Kvec2)*r0810 + (r0804*E1ac)/(4.*rt2) - (r0808*E2ac)/(4.*rt6) + \
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diff --git a/xmds2/realistic_Rb/Makefile b/xmds2/realistic_Rb/Makefile new file mode 100644 index 0000000..e088e15 --- /dev/null +++ b/xmds2/realistic_Rb/Makefile @@ -0,0 +1,55 @@ +### -*- make -*- +### This file is part of the Debian xmds package +### Copyright (C) 2006 Rafael Laboissiere +### This file is relased under the GNU General Public License +### NO WARRANTIES! + +### This makefile can be used to build and run the XMDS examples + +XMDS_FILES = $(shell ls *.xmds) +RUN_FILES = $(patsubst %.xmds,%.run,$(XMDS_FILES)) +CC_FILES = $(patsubst %.xmds,%.cc,$(XMDS_FILES)) +XSIL_FILES = $(patsubst %.xmds,%.xsil,$(XMDS_FILES)) +M_FILES = $(patsubst %.xmds,%.m,$(XMDS_FILES)) + +XMDS = xmds2 +XSIL2GRAPHICS = xsil2graphics + +all: $(RUN_FILES) + +%.run: %.xmds + $(XMDS) $< + mv $(patsubst %.xmds,%,$<) $@ + +%.xsil: %.run + ./$< --E1o=0 --E3o=0 + +%.m: %.xsil + $(XSIL2GRAPHICS) $< + +plot: $(M_FILES) + octave pp.m + +clean: + rm -f $(CC_FILES) $(RUN_FILES) $(M_FILES) $(XSIL_FILES) *.wisdom.fftw3 *.dat octave-core *.wisdom *.pdf + rm -f $(png_targets) + rm -f $(eps_targets) + +eps_targets = $(wildcard *.eps) +pdf_targets = $(eps_targets:%.eps=%.pdf) +png_targets = $(pdf_targets:%.pdf=%.png) + +png: pdf $(png_targets) + +$(png_targets): %.png : %.pdf + convert -density 300 $< $@ + +pdf: $(pdf_targets) + +$(pdf_targets): %.pdf : %.eps + cat $< | ps2eps -B > __tt.eps + epspdf __tt.eps $@ + rm -f __tt.eps + #ps2eps -B $< | epspdf $< $@ +.PRECIOUS: %.run %.xsil %.m +.PHONY: all clean diff --git a/xmds2/realistic_Rb/Makefile.fig b/xmds2/realistic_Rb/Makefile.fig new file mode 100644 index 0000000..71fba31 --- /dev/null +++ b/xmds2/realistic_Rb/Makefile.fig @@ -0,0 +1,39 @@ +### -*- make -*- +### This makefile can be used to build and run the XMDS examples + +GNUPLOT_FILES = $(wildcard *.gp) + +SCRIPTS_DIR = . + + +eps_targets = $(wildcard *.eps) +eps_bb_targets = $(eps_targets:%.eps=%.bb) +pdf_targets = $(eps_targets:%.eps=%.pdf) +png_targets = $(pdf_targets:%.pdf=%.png) + +fig: png + +pdf: $(pdf_targets) + +# fix bounding box +$(eps_bb_targets): %.bb : %.eps + @cat $< | ps2eps -q -B > $@ + +$(pdf_targets): %.pdf : %.bb + epspdf $< $@ + +png: $(png_targets) + +$(png_targets): %.png : %.pdf + convert -density 300 $< $@ + +clean: + rm -f *.pdf + rm -f *.eps + rm -f *.bb + +real_clean: clean + rm -f *.png + +.PRECIOUS: %.run %.xsil %.m +.PHONY: all clean diff --git a/xmds2/realistic_Rb/Makefile.par b/xmds2/realistic_Rb/Makefile.par new file mode 100644 index 0000000..cc21c7b --- /dev/null +++ b/xmds2/realistic_Rb/Makefile.par @@ -0,0 +1,32 @@ +### -*- make -*- +### This file is part of the Debian xmds package +### Copyright (C) 2006 Rafael Laboissiere +### This file is relased under the GNU General Public License +### NO WARRANTIES! + +### This makefile can be used to build and run the XMDS examples + + +PARAMS_FILES = $(wildcard *.params) +PP_DIR = $(PARAMS_FILES:%.params=%) +CALC_XSIL_FILES = $(PARAMS_FILES:%.params=%/data.xsil) + +default: $(CALC_XSIL_FILES) + +$(CALC_XSIL_FILES): %/data.xsil : % %.params + echo processing $$(dirname $(@)) dir + $(MAKE) -C $$(dirname $(@)) -f ../Makefile.pp SCRIPTS_DIR=../ PARAMS_FILE=../$<.params + +$(PP_DIR): % : %.params + echo need to make dir + [ -d $@ ] || mkdir -p $@ + +clean: + for d in $(PP_DIR); \ + do $(MAKE) -C $$d SCRIPTS_DIR=../ -f ../Makefile.pp $@; done + +real_clean: + for d in $(PP_DIR); \ + do $(MAKE) -C $$d SCRIPTS_DIR=../ -f ../Makefile.pp $@; done + +.PHONY: all clean diff --git a/xmds2/realistic_Rb/Makefile.pp b/xmds2/realistic_Rb/Makefile.pp new file mode 100644 index 0000000..83e5bec --- /dev/null +++ b/xmds2/realistic_Rb/Makefile.pp @@ -0,0 +1,62 @@ +### -*- make -*- +### This makefile can be used to build and run the XMDS examples + + +XSIL_FILES = Nlevels_with_doppler_with_z_4wm.xsil +M_FILES = $(patsubst %.xsil,%.m,$(XSIL_FILES)) +GNUPLOT_FILES = $(wildcard *.gp) + +SCRIPTS_DIR = . + +XSIL2GRAPHICS = xsil2graphics + +# fast light +#PARAMS = --delta1=0 --delta2=0 --delta3=0 --E1o=1.9e7 --E2o=3.1e5 --E3o=3.8e7 --E4o=1e1 +#PARAMS = --delta1=0 --delta2=0 --delta3=0 --E1o=0.1e7 --E2o=1e4 --E3o=.3e7 --E4o=0 --Lcell=1.5e-2 --Temperature=.0001 +PARAMS = \ + --Ndens=1e15 \ + --Lcell=10.0e-2 \ + --Temperature=5 \ + --Pwidth=0.4e-6 \ + --delta1=0 --delta2=0 --delta3=0 \ + --E1o=2e7 --E2o=1e2 --E3o=4e7 --E4o=1e0 + + +include $(PARAMS_FILE) + + +# slow light EIT +#PARAMS = --delta1=0 --delta2=0 --delta3=0 --E1o=1.9e7 --E2o=3.1e5 --E3o=0 --E4o=0 + +all: $(XSIL_FILES) Nlevels_with_doppler_with_z_4wm.xsil $(M_FILES) plot fig + +Nlevels_with_doppler_with_z_4wm.xsil: ../Nlevels_with_doppler_with_z_4wm.run $(PARAMS_FILE) + $< $(PARAMS) | grep "Time elapsed for simulation is:" > exact_analysis_execution_time.txt + +%.m: %.xsil + $(XSIL2GRAPHICS) $< + +fig: pp_I2.stamp + $(MAKE) -f $(SCRIPTS_DIR)/Makefile.fig $@ + + +pretty_plots: pp_I2.stamp $(GNUPLOT_FILES) + gnuplot $(SCRIPTS_DIR)/plot_fields_propagation_I2.gp + gnuplot $(SCRIPTS_DIR)/plot_fields_propagation_I4.gp + +plot: pp_I2.stamp + +pp_I2.stamp: $(XSIL_FILES) $(M_FILES) + octave -q $(SCRIPTS_DIR)/pp_I2.m + +clean: + rm -f $(M_FILES) $(XSIL_FILES) *.dat octave-core + rm -f pp_I2.stamp + $(MAKE) -f $(SCRIPTS_DIR)/Makefile.fig $@ + +real_clean: clean + $(MAKE) -f $(SCRIPTS_DIR)/Makefile.fig $@ + rm -f exact_analysis_execution_time.txt + +.PRECIOUS: %.run %.xsil %.m +.PHONY: all clean diff --git a/xmds2/realistic_Rb/realistic_Rb.xmds b/xmds2/realistic_Rb/realistic_Rb.xmds new file mode 100644 index 0000000..6a40191 --- /dev/null +++ b/xmds2/realistic_Rb/realistic_Rb.xmds @@ -0,0 +1,511 @@ +<?xml version="1.0"?> +<simulation xmds-version="2"> + + <name>realistic_Rb</name> + + <author>Eugeniy Mikhailov</author> + <description> + License GPL. + + Solving simplified Rb atom model + with fields propagation along spatial axis Z + with Doppler broadening. + + + We assume four-wave mixing condition when w3-w4=w2-w1 i.e. fields E3 and E4 drive the same + resonance as fields E2 and E1. + + + * --------------- | F=1, 2P_3/2 > + * \ \ + * \ E3_r \ -------- | F=2, 2P_+1/2 > + * \ E4_r \ / \ + * \ \ / E2_l \ + * \ / \ E1_l + * | F=2, 2S_1/2 > -------------- \ + * \ \ + * \ \ + * ------------- | F=1, 2S_1/2 > + * + + + We are solving + dE/dz+(1/c)*dE/dt=i*eta*rho_ij, where j level is higher then i. + Note that E is actually a Rabi frequency of electromagnetic field not the EM field + in xmds terms it looks like + dE_dz = i*eta*rhoij - 1/c*L[E], here we moved t dependence to Fourier space + + VERY IMPORTANT: all Rabi frequency should be given in [1/s], if you want to + normalize it to something else look drho/dt equation. + No need to renormalizes eta as long as its express through + the upper level decay rate in the same units as Rabi frequency. + </description> + + <features> + <globals> + <![CDATA[ + const double pi = M_PI; + const double c=3.e8; + const double k_boltzmann= 1.3806505e-23; // Boltzmann knostant in [J/K] + const double lambda=794.7e-9; //wavelength in m + const double Kvec = 2*M_PI/lambda; // k-vector + const double Gamma_super=6*(2*M_PI*1e6); // characteristic decay rate of upper level used for eta calculations expressed in [1/s] + // eta will be calculated in the <arguments> section + double eta = 0; // eta constant in the wave equation for Rabi frequency. Units are [1/(m s)] + + // --------- Atom and cell properties ------------------------- + // range of Maxwell distribution atomic velocities + const double mass = (86.909180527 * 1.660538921e-27); // atom mass in [kg] + // above mass expression is written as (expression is isotopic_mass * atomic_mass_unit) + + // Average sqrt(v^2) in Maxwell distribution for one dimension + // Maxwell related parameters will be calculated in <arguments> section + double v_thermal_averaged=0; + // Maxwell distribution velocities range to take in account in [m/s] + double V_maxwell_min = 0, V_maxwell_max = 0; + + // repopulation rate (atoms flying in/out the laser beam) in [1/s] + const double gt=0.01 *(2*M_PI*1e6); + // Natural linewidth of j's level in [1/s] + const double G3=3.0 *(2*M_PI*1e6); + const double G4=3.0 *(2*M_PI*1e6); + + // total decay of i-th level branching ratios. Rij branching of i-th level to j-th + const double R41=0.5, R42=0.5; + const double R31=0.5, R32=0.5; + + + complex E1ac, E2ac, E3ac, E4ac; // Complex conjugated Rabi frequencies + + complex r21, r31, r41, r32, r42, r43, r44; // density matrix elements + + // inner use variables + double probability_v; // will be used as p(v) in Maxwell distribution + + ]]> + </globals> + <validation kind="run-time"/> <!--allows to put ranges as variables--> + <benchmark /> + <arguments> + <!-- Rabi frequency divided by 2 in [1/s] --> + <argument name="E1o" type="real" default_value="2*1.5*(2*M_PI*1e6)" /> + <argument name="E2o" type="real" default_value="0.05*(2*M_PI*1e6)" /> + <argument name="E3o" type="real" default_value="2*3.0*(2*M_PI*1e6)" /> + <argument name="E4o" type="real" default_value=".01*(2*M_PI*1e6)" /> + <!-- Fields detuning in [1/s] --> + <argument name="delta1" type="real" default_value="0.0" /> + <argument name="delta2" type="real" default_value="0.0" /> + <argument name="delta3" type="real" default_value="0.0" /> + <!--Pulse duration/width [s] --> + <argument name="Pwidth" type="real" default_value="0.1e-6" /> + <!-- Atom and cell properties --> + <!--Cell length [m] --> + <argument name="Lcell" type="real" default_value="1.5e-2" /> + <!--Density of atoms [1/m^3] --> + <argument name="Ndens" type="real" default_value="1e15" /> + <!--Atoms temperature [K] --> + <!--TODO: looks like Temperature > 10 K knocks solver, + I am guessing detunings are too large and thus it became a stiff equation--> + <!--! make sure it is not equal to zero!--> + <argument name="Temperature" type="real" default_value="5" /> + <!-- This will be executed after arguments/parameters are parsed --> + <!-- Read the code Luke: took me a while of reading the xmds2 sources to find it --> + <![CDATA[ + // Average sqrt(v^2) in Maxwell distribution for one dimension + if (Temperature == 0) + _LOG(_ERROR_LOG_LEVEL, "ERROR: Temperature should be >0 to provide range for Maxwell velocity distribution\n"); + v_thermal_averaged=sqrt(k_boltzmann*Temperature/mass); + // Maxwell distribution velocities range to take in account in [m/s] + // there is almost zero probability for higher velocity p(4*v_av) = 3.3e-04 * p(0) + V_maxwell_min = -4*v_thermal_averaged; V_maxwell_max = -V_maxwell_min; + + // eta constant in the wave equation for Rabi frequency. Units are [1/(m s)] + eta = 3*lambda*lambda*Ndens*Gamma_super/8.0/M_PI; + ]]> + </arguments> + <bing /> + <diagnostics /> + <fftw plan="patient" threads="1" /> + <!-- I don't see any speed up on 6 core CPU even if use threads="6" --> + <openmp /> + <auto_vectorise /> + <halt_non_finite /> + </features> + + <!-- 'z', 't', and 'v' to have dimensions [m], [s], and [m/s] --> + <geometry> + <propagation_dimension> z </propagation_dimension> + <transverse_dimensions> + <!-- IMPORTANT: looks like having a lot of points in time helps with convergence. + I suspect that time spacing should be small enough to catch + all pulse harmonics and more importantly 1/dt should be larger than + the largest detuning (including Doppler shifts). + Unfortunately calculation time is proportional to lattice size + so we cannot just blindly increase it. + Some rules of thumb: + * lattice="1000" domain="(-1e-6, 1e-6)" + was good enough detunings up to 155 MHz (980 rad/s) notice that 1/dt=500 MHz + * lattice="10000" domain="(-1e-6, 1e-6)" + works for Doppler averaging in up to 400K for Rb when lasers are zero detuned + --> + <dimension name="t" lattice="10000" domain="(-1e-6, 1e-6)" /> + <dimension name="v" lattice="100" domain="(V_maxwell_min, V_maxwell_max)" /> + </transverse_dimensions> + </geometry> + + <!-- Rabi frequency --> + <vector name="E_field" type="complex" initial_space="t"> + <components>E1 E2 E3 E4</components> + <initialisation> + <![CDATA[ + // Initial (at starting 'z' position) electromagnetic field does not depend on detuning + // as well as time + E1=E1o; + E2=E2o*exp(-pow( ((t-0.0)/Pwidth),2) ); + E3=E3o; + E4=E4o; + ]]> + </initialisation> + </vector> + + <!--Maxwell distribution probability p(v)--> + <computed_vector name="Maxwell_distribution_probabilities" dimensions="v" type="real"> + <components>probability_v</components> + <evaluation> + <![CDATA[ + // TODO: move to the global space/function. This reevaluated many times since it called from dependency requests but it never changes during the script lifetime since 'v' is fixed. + probability_v=1.0/(v_thermal_averaged*sqrt(2*M_PI)) * exp( - mod2(v/v_thermal_averaged)/2.0 ); + ]]> + </evaluation> + </computed_vector> + + <!--Maxwell distribution norm sum(p(v)) + Needed since we sum over the grid instead of true integral, + we also have finite cut off velocities--> + <computed_vector name="Maxwell_distribution_probabilities_norm" dimensions="" type="real"> + <components>probability_v_norm</components> + <evaluation> + <dependencies basis="v">Maxwell_distribution_probabilities</dependencies> + <![CDATA[ + // TODO: move to the global space/function. This reevaluated many times since it called from dependency requests but it never changes during the script lifetime since 'v' is fixed. + probability_v_norm=probability_v; + ]]> + </evaluation> + </computed_vector> + + + <!-- Averaged across Maxwell distribution fields amplitudes --> + <computed_vector name="E_field_avgd" dimensions="t" type="complex"> + <components>E1a E2a E3a E4a</components> + <evaluation> + <dependencies basis="v">E_field Maxwell_distribution_probabilities Maxwell_distribution_probabilities_norm</dependencies> + <![CDATA[ + double prob_v_normalized=probability_v/probability_v_norm; + E1a=E1*prob_v_normalized; + E2a=E2*prob_v_normalized; + E3a=E3*prob_v_normalized; + E4a=E4*prob_v_normalized; + ]]> + </evaluation> + </computed_vector> + + <!-- Averaged across Maxwell distribution density matrix components --> + <computed_vector name="density_matrix_averaged" dimensions="t" type="complex"> + <components>r11a r22a r33a r12a r13a r14a r23a r24a r34a r44a</components> + <evaluation> + <dependencies basis="v">density_matrix Maxwell_distribution_probabilities Maxwell_distribution_probabilities_norm</dependencies> + <![CDATA[ + double prob_v_normalized=probability_v/probability_v_norm; + r11a=r11*prob_v_normalized; + r22a=r22*prob_v_normalized; + r33a=r33*prob_v_normalized; + r12a=r12*prob_v_normalized; + r13a=r13*prob_v_normalized; + r14a=r14*prob_v_normalized; + r23a=r23*prob_v_normalized; + r24a=r24*prob_v_normalized; + r34a=r34*prob_v_normalized; + r44a=r44*prob_v_normalized; + ]]> + </evaluation> + </computed_vector> + + + <vector name="density_matrix" type="complex" initial_space="t"> + <!--<components>r11 r22 r33 r44 r12 r13 r14 r23 r24 r34 r21 r31 r41 r32 r42 r43</components>--> + <!--<components>r11 r22 r33 r44 r12 r13 r14 r23 r24 r34</components>--> + <components>r11 r22 r33 r12 r13 r14 r23 r24 r34 r44</components> + <!-- + note one of the level population is redundant since + r11+r22+r33+r44=1 + so r11 is missing + --> + <initialisation> + <!--This sets boundary condition at all times and left border of z (i.e. z=0)--> + <!-- Comment out no light field initial conditions + <![CDATA[ + // Note: + // convergence is really slow if all populations concentrated at the bottom level |1> + // this is because if r11=1, everything else is 0 and then every small increment + // seems to be huge and adaptive solver makes smaller and smaller steps. + // As quick and dirty fix I reshuffle initial population + // so some of the population sits at the second ground level |2> + // TODO: Fix above. Make the equation of motion for r11 + // and express other level, let's say r44 + // through population normalization + r11 = 1; + r22 = 0; r33 = 0; r44 = 0; + r12 = 0; r13 = 0; r14 = 0; + r23 = 0; r24 = 0; + r34 = 0; + ]]> + --> + <!-- Below initialization assumes strong E1 and E3 which were shining for long time before + we even start to look at the problem --> + <!-- Precalculated by Nate via Mathematica steady state solver --> + <dependencies>E_field_avgd</dependencies> + <![CDATA[ + E1ac = conj(E1a); + E2ac = conj(E2a); + E3ac = conj(E3a); + E4ac = conj(E4a); + + // IMPORTANT: assumes no detunings + r11 = (gt*(4*mod2(E1a) + (G3 + gt)*(G3 + 2*gt))*((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt)) + 4*mod2(E3a)*G4*(R41 - + R42)))/(2.*(-16*mod2(E1a)*mod2(E3a)*G3*G4*R32*R41 + (G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt))*((G4 + 2*gt)*(4*mod2(E3a) + + gt*(G4 + gt)) - 4*mod2(E3a)*G4*R42) + 4*mod2(E1a)*G3*R31*(-((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt))) + 4*mod2(E3a)*G4*R42))); + + r13 = -((E1ac*gt*(G3 + gt)*i*((G4 + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt)) + + 4*mod2(E3a)*G4*(R41 - + R42)))/(-16*mod2(E1a)*mod2(E3a)*G3*G4*R32*R41 + (G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt))*((G4 + 2*gt)*(4*mod2(E3a) + + gt*(G4 + gt)) - 4*mod2(E3a)*G4*R42) + 4*mod2(E1a)*G3*R31*(-((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt))) + 4*mod2(E3a)*G4*R42))); + + r22 = (gt*(4*mod2(E3a) + (G4 + gt)*(G4 + 2*gt))*((G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt)) + 4*mod2(E1a)*G3*(-R31 + + R32)))/(2.*(-16*mod2(E1a)*mod2(E3a)*G3*G4*R32*R41 + (G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt))*((G4 + 2*gt)*(4*mod2(E3a) + + gt*(G4 + gt)) - 4*mod2(E3a)*G4*R42) + 4*mod2(E1a)*G3*R31*(-((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt))) + 4*mod2(E3a)*G4*R42))); + + r24 = -((E3ac*gt*(G4 + gt)*i*((G3 + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt)) + + 4*mod2(E1a)*G3*(-R31 + + R32)))/(-16*mod2(E1a)*mod2(E3a)*G3*G4*R32*R41 + (G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt))*((G4 + 2*gt)*(4*mod2(E3a) + + gt*(G4 + gt)) - 4*mod2(E3a)*G4*R42) + 4*mod2(E1a)*G3*R31*(-((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt))) + 4*mod2(E3a)*G4*R42))); + + r33 = (2*mod2(E1a)*gt*((G4 + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt)) + + 4*mod2(E3a)*G4*(R41 - + R42)))/(-16*mod2(E1a)*mod2(E3a)*G3*G4*R32*R41 + (G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt))*((G4 + 2*gt)*(4*mod2(E3a) + + gt*(G4 + gt)) - 4*mod2(E3a)*G4*R42) + 4*mod2(E1a)*G3*R31*(-((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt))) + 4*mod2(E3a)*G4*R42)); + + r44 = (2*mod2(E3a)*gt*((G3 + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt)) + + 4*mod2(E1a)*G3*(-R31 + + R32)))/(-16*mod2(E1a)*mod2(E3a)*G3*G4*R32*R41 + (G3 + + 2*gt)*(4*mod2(E1a) + gt*(G3 + gt))*((G4 + 2*gt)*(4*mod2(E3a) + + gt*(G4 + gt)) - 4*mod2(E3a)*G4*R42) + 4*mod2(E1a)*G3*R31*(-((G4 + + 2*gt)*(4*mod2(E3a) + gt*(G4 + gt))) + 4*mod2(E3a)*G4*R42)); + + ]]> + </initialisation> + </vector> + + <sequence> + <!--For this set of conditions ARK45 is faster than ARK89--> + <!--ARK45 is good for small detuning when all frequency like term are close to zero--> + <integrate algorithm="ARK45" tolerance="1e-5" interval="Lcell"> + <!--<integrate algorithm="SI" steps="200" interval="Lcell"> --> + <!--RK4 is good for large detunings when frequency like term are big, it does not try to be too smart about adaptive step which ARK seems to make too small--> + <!--When ARK45 works it about 3 times faster then RK4 with 1000 steps--> + <!--<integrate algorithm="RK4" steps="100" interval="1.5e-2">--> + <!--SIC algorithm seems to be much slower and needs fine 'z' step tuning and much finer time grid--> + <!--For example I had to quadruple the time grid from 1000 to 4000 when increased z distance from 0.02 to 0.04--> + + <!--<integrate algorithm="SIC" interval="4e-2" steps="200">--> + + <samples>100 100</samples> + <!--Use the next line for debuging to see velocity dependence. Uncomment/switch on output groups 3,4--> + <!--<samples>100 100 100 100</samples>--> + <operators> + <operator kind="cross_propagation" algorithm="SI" propagation_dimension="t"> + <integration_vectors>density_matrix</integration_vectors> + <dependencies>E_field_avgd</dependencies> + <boundary_condition kind="left"> + <!--This set boundary condition at all 'z' and left border of 't' (i.e. min(t))--> + <!-- + <![CDATA[ + r11 = 0; r22 = 1; r33 = 0; r44 = 0; + r12 = 0; r13 = 0; r14 = 0; + r23 = 0; r24 = 0; + r34 = 0; + printf("z= %g, t= %g\n", z, t); + ]]> + --> + </boundary_condition> + <![CDATA[ + E1ac = conj(E1a); + E2ac = conj(E2a); + E3ac = conj(E3a); + E4ac = conj(E4a); + + r21=conj(r12); + r31=conj(r13); + r41=conj(r14); + r32=conj(r23); + r42=conj(r24); + r43=conj(r34); + //r44=1- r11 - r22 - r33; + + // Equations of motions according to Nate's mathematica code + dr11_dt = gt/2 - gt*r11 + i*(-(E1a*r13) - E4a*r14 + E1ac*r31 + E4ac*r41) + G3*r33*R31 + G4*r44*R41; + dr12_dt = -(gt*r12) + i*((-(delta1 + Kvec*v) + (delta2 + Kvec*v))*r12 - E2a*r13 - E3a*r14 + E1ac*r32 + E4ac*r42); + dr13_dt = -((G3 + 2*gt)*r13)/2. + i*(-(E1ac*r11) - E2ac*r12 - (delta1 + Kvec*v)*r13 + E1ac*r33 + E4ac*r43); + dr14_dt = -((G4 + 2*gt)*r14)/2. + i*(-(E4ac*r11) - E3ac*r12 - ((delta1 + Kvec*v) - (delta2 + Kvec*v) + (delta3 + Kvec*v))*r14 + E1ac*r34 + E4ac*r44); + dr22_dt = gt/2 - gt*r22 + i*(-(E2a*r23) - E3a*r24 + E2ac*r32 + E3ac*r42) + G3*r33*R32 + G4*r44*R42; + dr23_dt = -((G3 + 2*gt)*r23)/2. + i*(-(E1ac*r21) - E2ac*r22 - (delta2 + Kvec*v)*r23 + E2ac*r33 + E3ac*r43); + dr24_dt = -((G4 + 2*gt)*r24)/2. + i*(-(E4ac*r21) - E3ac*r22 - (delta3 + Kvec*v)*r24 + E2ac*r34 + E3ac*r44); + dr33_dt = i*(E1a*r13 + E2a*r23 - E1ac*r31 - E2ac*r32) - (G3 + gt)*r33; + + dr34_dt = -((G3 + G4 + 2*gt)*r34)/2. + i*(E1a*r14 + E2a*r24 - E4ac*r31 - E3ac*r32 + ((delta2 + Kvec*v) - (delta3 + Kvec*v))*r34); + dr44_dt = i*(E4a*r14 + E3a*r24 - E4ac*r41 - E3ac*r42) - (G4 + gt)*r44; + ]]> + </operator> + <!-- + According to xmds2 docs operator kind="ip" should be faster + but our codes runs about 5% to 10% slower with it. + Maybe because we very close to the stiff condition so I use "ex" kind + <operator kind="ip" constant="yes"> + --> + <operator kind="ex" constant="yes" type="imaginary"> + <operator_names>Lt</operator_names> + <![CDATA[ + Lt = -i/c*kt; + ]]> + </operator> + <integration_vectors>E_field</integration_vectors> + <dependencies>density_matrix</dependencies> + <![CDATA[ + dE1_dz = i*eta*conj(r13) +Lt[E1] ; + dE2_dz = i*eta*conj(r23) +Lt[E2] ; + dE3_dz = i*eta*conj(r24) +Lt[E3] ; + dE4_dz = i*eta*conj(r14) +Lt[E4] ; + ]]> + </operators> + </integrate> + </sequence> + + + + <!-- The output to generate --> + <output format="binary" filename="realistic_Rb.xsil"> + <group> + <sampling basis="t(1000) " initial_sample="yes"> + <dependencies>E_field_avgd</dependencies> + <moments>I1_out I2_out I3_out I4_out</moments> + <![CDATA[ + I1_out = mod2(E1a); + I2_out = mod2(E2a); + I3_out = mod2(E3a); + I4_out = mod2(E4a); + ]]> + </sampling> + </group> + + <group> + <sampling basis="t(100) v(10)" initial_sample="yes"> + <dependencies>density_matrix_averaged</dependencies> + <moments> + r11_out r22_out r33_out r44_out + r12_re_out r12_im_out r13_re_out r13_im_out r14_re_out r14_im_out + r23_re_out r23_im_out r24_re_out r24_im_out + r34_re_out r34_im_out + </moments> + <![CDATA[ + // populations output + r11_out = r11a.Re(); + r22_out = r22a.Re(); + r33_out = r33a.Re(); + r44_out = r44a.Re(); + // coherences output + r12_re_out = r12a.Re(); + r12_im_out = r12a.Im(); + r13_re_out = r13a.Re(); + r13_im_out = r13a.Im(); + r14_re_out = r14a.Re(); + r14_im_out = r14a.Im(); + r23_re_out = r23a.Re(); + r23_im_out = r23a.Im(); + r24_re_out = r24a.Re(); + r24_im_out = r24a.Im(); + r34_re_out = r34a.Re(); + r34_im_out = r34a.Im(); + ]]> + </sampling> + </group> + + <!-- use the following two groups only for debuging + otherwise they are quite useless and have to much information + in 3D space (z,t,v) --> + <!-- + <group> + <sampling basis="t(100) v(10)" initial_sample="yes"> + <dependencies>E_field</dependencies> + <moments>I1_out_v I2_out_v I3_out_v I4_out_v</moments> + <![CDATA[ + // light field intensity distribution in velocity subgroups + I1_out_v = mod2(E1); + I2_out_v = mod2(E2); + I3_out_v = mod2(E3); + I4_out_v = mod2(E4); + ]]> + </sampling> + </group> + + <group> + <sampling basis="t(100) v(10)" initial_sample="yes"> + <dependencies>density_matrix</dependencies> + <moments> + r11_out_v r22_out_v r33_out_v r44_out_v + r12_re_out_v r12_im_out_v r13_re_out_v r13_im_out_v r14_re_out_v r14_im_out_v + r23_re_out_v r23_im_out_v r24_re_out_v r24_im_out_v + r34_re_out_v r34_im_out_v + </moments> + <![CDATA[ + // density matrix distribution in velocity subgroups + // populations output + r11_out_v = r11.Re(); + r22_out_v = r22.Re(); + r33_out_v = r33.Re(); + r44_out_v = r44.Re(); + // coherences output + r12_re_out_v = r12.Re(); + r12_im_out_v = r12.Im(); + r13_re_out_v = r13.Re(); + r13_im_out_v = r13.Im(); + r14_re_out_v = r14.Re(); + r14_im_out_v = r14.Im(); + r23_re_out_v = r23.Re(); + r23_im_out_v = r23.Im(); + r24_re_out_v = r24.Re(); + r24_im_out_v = r24.Im(); + r34_re_out_v = r34.Re(); + r34_im_out_v = r34.Im(); + ]]> + </sampling> + </group> + --> + + </output> + +</simulation> + +<!-- +vim: ts=2 sw=2 foldmethod=indent: +--> |