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-rw-r--r--xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected.xsil298
-rw-r--r--xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected_mg0.datbin3240832 -> 3240832 bytes
2 files changed, 56 insertions, 242 deletions
diff --git a/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected.xsil b/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected.xsil
index 409374d..36f5939 100644
--- a/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected.xsil
+++ b/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected.xsil
@@ -36,7 +36,7 @@
We are solving
- dE/dz+(1/c)*dE/dt=i*eta*rho_ij, where j level is higher then i.
+ dE/dz+(1/c)*dE/dt=i*eta*rho_ij, where j level is higher than 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
@@ -52,12 +52,23 @@
<![CDATA[
// Some numerical constants
const double pi = M_PI;
- // proportional to splitting ratios sqrt(6) , sqrt(3), sqrt(2)
+
+ // atom related constants
+ //read from Mathematica generated Constants.txt
+ const double ha0 = 2.1471788680034824e10;
+ const double ha1 = 2.558764384495815e9;
+ const double g1 = 3.612847284945266e7;
+ const double ha2 = 5.323020344462938e8;
+ const double hb2 = 7.85178251911697e7;
+ const double g2 = 3.8117309832741246e7;
+ const double lambda1 = 7.949788511562656e-7;
+ const double lambda2 = 7.802412096860509e-7;
+ const double eta1 = 5.450949336831401e-6;
+ const double eta2 = 5.5397657647874e-6;
const double rt6 = 2.449489742783178;
const double rt3 = 1.7320508075688772;
const double rt2 = 1.4142135623730951;
-
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
@@ -66,11 +77,6 @@
// Simplified k-vectors
const double Kvec1 = Kvec, Kvec2=Kvec, Kvec3=Kvec;
- 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)]
- double eta1=0, eta2=0, eta3=0;
-
// --------- Atom and cell properties -------------------------
// range of Maxwell distribution atomic velocities
const double mass = (86.909180527 * 1.660538921e-27); // atom mass in [kg]
@@ -85,44 +91,10 @@
// 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 g1 = 3.612847284945266e7;
- const double g2 = 3.8117309832741246e7;
-
- // levels energy
- const double ha0 = 2.1471788680034824e10;
- const double ha1 = 2.558764384495815e9;
- const double ha2 = 5.323020344462938e8;
- const double hb2 = 7.85178251911697e7;
-
// Larmor frequency
double WL=0;
-
- complex E1ac, E2ac, E3ac, E4ac; // Complex conjugated Rabi frequencies
-
- // density matrix elements which calculated via Hermitian property r_ij=conj(r_ji)
- complex
- r1301,
- r1402,
- r0903,
- r1503,
- r1004,
- r1604,
- r1105,
- r0206,
- r1406,
- r0307,
- r0907,
- r1507,
- r0408,
- r1008,
- r1608,
- r1509,
- r1610;
-
-
// inner use variables
double probability_v; // will be used as p(v) in Maxwell distribution
@@ -162,18 +134,12 @@
// 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;
- // !FIXME over simplification: we should use relevant levels linewidths
- eta1 = eta;
- eta2 = eta;
- eta3 = eta;
]]>
</arguments>
<bing />
<diagnostics />
<fftw plan="estimate" threads="1" />
+ <!--<fftw plan="patient" threads="1" />-->
<!-- I don't see any speed up on 6 core CPU even if use threads="6" -->
<!--<openmp />-->
<auto_vectorise />
@@ -257,84 +223,6 @@
</evaluation>
</computed_vector>
- <!-- Averaged across Maxwell distribution density matrix components -->
- <computed_vector name="density_matrix_averaged" dimensions="t" type="complex">
- <components>
- r0101a
- r0113a
- r0202a
- r0214a
- r0303a
- r0309a
- r0315a
- r0404a
- r0410a
- r0416a
- r0505a
- r0511a
- r0602a
- r0606a
- r0614a
- r0703a
- r0707a
- r0709a
- r0715a
- r0804a
- r0808a
- r0810a
- r0816a
- r0909a
- r0915a
- r1010a
- r1016a
- r1111a
- r1313a
- r1414a
- r1515a
- r1616a
- </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;
-
- r0101a = r0101*prob_v_normalized;
- r0113a = r0113*prob_v_normalized;
- r0202a = r0202*prob_v_normalized;
- r0214a = r0214*prob_v_normalized;
- r0303a = r0303*prob_v_normalized;
- r0309a = r0309*prob_v_normalized;
- r0315a = r0315*prob_v_normalized;
- r0404a = r0404*prob_v_normalized;
- r0410a = r0410*prob_v_normalized;
- r0416a = r0416*prob_v_normalized;
- r0505a = r0505*prob_v_normalized;
- r0511a = r0511*prob_v_normalized;
- r0602a = r0602*prob_v_normalized;
- r0606a = r0606*prob_v_normalized;
- r0614a = r0614*prob_v_normalized;
- r0703a = r0703*prob_v_normalized;
- r0707a = r0707*prob_v_normalized;
- r0709a = r0709*prob_v_normalized;
- r0715a = r0715*prob_v_normalized;
- r0804a = r0804*prob_v_normalized;
- r0808a = r0808*prob_v_normalized;
- r0810a = r0810*prob_v_normalized;
- r0816a = r0816*prob_v_normalized;
- r0909a = r0909*prob_v_normalized;
- r0915a = r0915*prob_v_normalized;
- r1010a = r1010*prob_v_normalized;
- r1016a = r1016*prob_v_normalized;
- r1111a = r1111*prob_v_normalized;
- r1313a = r1313*prob_v_normalized;
- r1414a = r1414*prob_v_normalized;
- r1515a = r1515*prob_v_normalized;
- r1616a = r1616*prob_v_normalized;
- ]]>
- </evaluation>
- </computed_vector>
-
-
<vector name="density_matrix" type="complex" initial_space="t">
<components>
r0101
@@ -382,6 +270,8 @@
// TODO: Fix above. Make the equation of motion for r11
// and express other level, let's say r44
// through population normalization
+
+ //read from Mathematica generated RbInits.txt
r0101 = 0.125;
r0113 = 0;
r0202 = 0.125;
@@ -424,7 +314,7 @@
<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-->
+ <!--When ARK45 works it about 3 times faster than 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-->
@@ -452,64 +342,40 @@
-->
</boundary_condition>
<![CDATA[
- E1ac = conj(E1a);
- E2ac = conj(E2a);
- E3ac = conj(E3a);
- E4ac = conj(E4a);
-
- // Density matrix is Hermitian so we use r_ij=conj(r_ji)
-
- r1301 = conj(r0113);
- r1402 = conj(r0214);
- r0903 = conj(r0309);
- r1503 = conj(r0315);
- r1004 = conj(r0410);
- r1604 = conj(r0416);
- r1105 = conj(r0511);
- r0206 = conj(r0602);
- r1406 = conj(r0614);
- r0307 = conj(r0703);
- r0907 = conj(r0709);
- r1507 = conj(r0715);
- r0408 = conj(r0804);
- r1008 = conj(r0810);
- r1608 = conj(r0816);
- r1509 = conj(r0915);
- r1610 = conj(r1016);
-
// Equations of motions according to Simon's mathematica code
- dr0101_dt = gt/8. - gt*r0101 + (g1*r0909)/2. + (g2*r1313)/6. - i*((r0113*E4a)/(4.*rt6) - (r1301*E4ac)/(4.*rt6));
- dr0113_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));
- dr0202_dt = gt/8. - gt*r0202 + (g1*r0909)/4. + (g1*r1010)/4. + (g2*r1313)/12. + (g2*r1414)/4. - i*((r0214*E4a)/8. - (r1402*E4ac)/8.);
- dr0214_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.);
- dr0303_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.);
- dr0309_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.);
- dr0315_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.);
- dr0404_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));
- dr0410_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));
- dr0416_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));
- dr0505_dt = gt/8. - gt*r0505 + (g1*r1111)/2. + (g2*r1515)/6. + (g2*r1616)/3. - i*((r0511*E1a)/4. - (r1105*E1ac)/4.);
- dr0511_dt = (-(gt*r0511) - (gt + g1)*r0511)/2. - i*(-(WL*r0511) - (WL/6. - delta1 - v*Kvec1)*r0511 + (r0505*E1ac)/4. - (r1111*E1ac)/4.);
- dr0602_dt = -(gt*r0602) - i*(-(WL*r0602)/2. + (-WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0602 + (r0614*E4a)/8. + (r1402*E3ac)/(8.*rt3));
- dr0606_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));
- dr0614_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.);
- dr0703_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.);
- dr0707_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.);
- dr0709_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.);
- dr0715_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.);
- dr0804_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));
- dr0808_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));
- dr0810_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) + (r1010*E2ac)/(4.*rt6) + (r1610*E3ac)/(4.*rt2));
- dr0816_dt = (-(gt*r0816) - (gt + g2)*r0816)/2. - i*((WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0816 - ((-4*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0816 + (r1016*E2ac)/(4.*rt6) - (r0808*E3ac)/(4.*rt2) + (r1616*E3ac)/(4.*rt2) + (r0804*E4ac)/(4.*rt6));
- dr0909_dt = -((gt + g1)*r0909) - i*(-(r0309*E1a)/(4.*rt6) + (r0709*E2a)/(4.*rt6) + (r0903*E1ac)/(4.*rt6) - (r0907*E2ac)/(4.*rt6));
- dr0915_dt = (-((gt + g1)*r0915) - (gt + g2)*r0915)/2. - i*((-WL/6. - delta1 - v*Kvec1)*r0915 - ((-2*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0915 - (r0315*E1a)/(4.*rt6) + (r0715*E2a)/(4.*rt6) - (r0907*E3ac)/8. + (r0903*E4ac)/8.);
- dr1010_dt = -((gt + g1)*r1010) - i*(-(r0410*E1a)/(4.*rt2) + (r0810*E2a)/(4.*rt6) + (r1004*E1ac)/(4.*rt2) - (r1008*E2ac)/(4.*rt6));
- dr1016_dt = (-((gt + g1)*r1016) - (gt + g2)*r1016)/2. - i*(-((delta1 + v*Kvec1)*r1016) - ((-4*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r1016 - (r0416*E1a)/(4.*rt2) + (r0816*E2a)/(4.*rt6) - (r1008*E3ac)/(4.*rt2) + (r1004*E4ac)/(4.*rt6));
- dr1111_dt = -((gt + g1)*r1111) - i*(-(r0511*E1a)/4. + (r1105*E1ac)/4.);
- dr1313_dt = -((gt + g2)*r1313) - i*(-(r0113*E4a)/(4.*rt6) + (r1301*E4ac)/(4.*rt6));
- dr1414_dt = -((gt + g2)*r1414) - i*((r0614*E3a)/(8.*rt3) - (r0214*E4a)/8. - (r1406*E3ac)/(8.*rt3) + (r1402*E4ac)/8.);
- dr1515_dt = -((gt + g2)*r1515) - i*((r0715*E3a)/8. - (r0315*E4a)/8. - (r1507*E3ac)/8. + (r1503*E4ac)/8.);
- dr1616_dt = -((gt + g2)*r1616) - i*((r0816*E3a)/(4.*rt2) - (r0416*E4a)/(4.*rt6) - (r1608*E3ac)/(4.*rt2) + (r1604*E4ac)/(4.*rt6));
+ //read from Mathematica generated RbEquations.txt
+ dr0101_dt = gt/8. - gt*r0101 + (g1*r0909)/2. + (g2*r1313)/6. - i*((r0113*E4a)/(4.*rt6) - (conj(r0113)*conj(E4a))/(4.*rt6));
+ dr0113_dt = (-(gt*r0113) - (gt + g2)*r0113)/2. - i*(WL*r0113 - ((2*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0113 + (r0101*conj(E4a))/(4.*rt6) - (r1313*conj(E4a))/(4.*rt6));
+ dr0202_dt = gt/8. - gt*r0202 + (g1*r0909)/4. + (g1*r1010)/4. + (g2*r1313)/12. + (g2*r1414)/4. - i*((r0214*E4a)/8. - (conj(r0214)*conj(E4a))/8.);
+ dr0214_dt = (-(gt*r0214) - (gt + g2)*r0214)/2. - i*((WL*r0214)/2. - (-delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0214 - (conj(r0602)*conj(E3a))/(8.*rt3) + (r0202*conj(E4a))/8. - (r1414*conj(E4a))/8.);
+ dr0303_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. - (conj(r0309)*conj(E1a))/(4.*rt6) - (conj(r0315)*conj(E4a))/8.);
+ dr0309_dt = (-(gt*r0309) - (gt + g1)*r0309)/2. - i*(-((-WL/6. - delta1 - v*Kvec1)*r0309) + (r0303*conj(E1a))/(4.*rt6) - (r0909*conj(E1a))/(4.*rt6) - (conj(r0703)*conj(E2a))/(4.*rt6) - (conj(r0915)*conj(E4a))/8.);
+ dr0315_dt = (-(gt*r0315) - (gt + g2)*r0315)/2. - i*(-(((-2*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0315) - (r0915*conj(E1a))/(4.*rt6) - (conj(r0703)*conj(E3a))/8. + (r0303*conj(E4a))/8. - (r1515*conj(E4a))/8.);
+ dr0404_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) - (conj(r0410)*conj(E1a))/(4.*rt2) - (conj(r0416)*conj(E4a))/(4.*rt6));
+ dr0410_dt = (-(gt*r0410) - (gt + g1)*r0410)/2. - i*(-(WL*r0410)/2. + (delta1 + v*Kvec1)*r0410 + (r0404*conj(E1a))/(4.*rt2) - (r1010*conj(E1a))/(4.*rt2) - (conj(r0804)*conj(E2a))/(4.*rt6) - (conj(r1016)*conj(E4a))/(4.*rt6));
+ dr0416_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*conj(E1a))/(4.*rt2) - (conj(r0804)*conj(E3a))/(4.*rt2) + (r0404*conj(E4a))/(4.*rt6) - (r1616*conj(E4a))/(4.*rt6));
+ dr0505_dt = gt/8. - gt*r0505 + (g1*r1111)/2. + (g2*r1515)/6. + (g2*r1616)/3. - i*((r0511*E1a)/4. - (conj(r0511)*conj(E1a))/4.);
+ dr0511_dt = (-(gt*r0511) - (gt + g1)*r0511)/2. - i*(-(WL*r0511) - (WL/6. - delta1 - v*Kvec1)*r0511 + (r0505*conj(E1a))/4. - (r1111*conj(E1a))/4.);
+ dr0602_dt = -(gt*r0602) - i*(-(WL*r0602)/2. + (-WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0602 + (r0614*E4a)/8. + (conj(r0214)*conj(E3a))/(8.*rt3));
+ dr0606_dt = gt/8. - gt*r0606 + (g1*r0909)/12. + (g1*r1010)/12. + (g2*r1313)/4. + (g2*r1414)/12. - i*(-(r0614*E3a)/(8.*rt3) + (conj(r0614)*conj(E3a))/(8.*rt3));
+ dr0614_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*conj(E3a))/(8.*rt3) + (r1414*conj(E3a))/(8.*rt3) + (r0602*conj(E4a))/8.);
+ dr0703_dt = -(gt*r0703) - i*((-delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0703 + (r0709*E1a)/(4.*rt6) + (r0715*E4a)/8. + (conj(r0309)*conj(E2a))/(4.*rt6) + (conj(r0315)*conj(E3a))/8.);
+ dr0707_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. + (conj(r0709)*conj(E2a))/(4.*rt6) + (conj(r0715)*conj(E3a))/8.);
+ dr0709_dt = (-(gt*r0709) - (gt + g1)*r0709)/2. - i*(-((-WL/6. - delta1 - v*Kvec1)*r0709) + (-delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0709 + (r0703*conj(E1a))/(4.*rt6) - (r0707*conj(E2a))/(4.*rt6) + (r0909*conj(E2a))/(4.*rt6) + (conj(r0915)*conj(E3a))/8.);
+ dr0715_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*conj(E2a))/(4.*rt6) - (r0707*conj(E3a))/8. + (r1515*conj(E3a))/8. + (r0703*conj(E4a))/8.);
+ dr0804_dt = -(gt*r0804) - i*((WL*r0804)/2. + (WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0804 + (r0810*E1a)/(4.*rt2) + (r0816*E4a)/(4.*rt6) + (conj(r0410)*conj(E2a))/(4.*rt6) + (conj(r0416)*conj(E3a))/(4.*rt2));
+ dr0808_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) + (conj(r0810)*conj(E2a))/(4.*rt6) + (conj(r0816)*conj(E3a))/(4.*rt2));
+ dr0810_dt = (-(gt*r0810) - (gt + g1)*r0810)/2. - i*((delta1 + v*Kvec1)*r0810 + (WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0810 + (r0804*conj(E1a))/(4.*rt2) - (r0808*conj(E2a))/(4.*rt6) + (r1010*conj(E2a))/(4.*rt6) + (conj(r1016)*conj(E3a))/(4.*rt2));
+ dr0816_dt = (-(gt*r0816) - (gt + g2)*r0816)/2. - i*((WL/2. - delta1 + delta2 - v*Kvec1 + v*Kvec2)*r0816 - ((-4*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0816 + (r1016*conj(E2a))/(4.*rt6) - (r0808*conj(E3a))/(4.*rt2) + (r1616*conj(E3a))/(4.*rt2) + (r0804*conj(E4a))/(4.*rt6));
+ dr0909_dt = -((gt + g1)*r0909) - i*(-(r0309*E1a)/(4.*rt6) + (r0709*E2a)/(4.*rt6) + (conj(r0309)*conj(E1a))/(4.*rt6) - (conj(r0709)*conj(E2a))/(4.*rt6));
+ dr0915_dt = (-((gt + g1)*r0915) - (gt + g2)*r0915)/2. - i*((-WL/6. - delta1 - v*Kvec1)*r0915 - ((-2*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r0915 - (r0315*E1a)/(4.*rt6) + (r0715*E2a)/(4.*rt6) - (conj(r0709)*conj(E3a))/8. + (conj(r0309)*conj(E4a))/8.);
+ dr1010_dt = -((gt + g1)*r1010) - i*(-(r0410*E1a)/(4.*rt2) + (r0810*E2a)/(4.*rt6) + (conj(r0410)*conj(E1a))/(4.*rt2) - (conj(r0810)*conj(E2a))/(4.*rt6));
+ dr1016_dt = (-((gt + g1)*r1016) - (gt + g2)*r1016)/2. - i*(-((delta1 + v*Kvec1)*r1016) - ((-4*WL)/3. - delta1 + delta2 - delta3 - v*Kvec1 + v*Kvec2 - v*Kvec3)*r1016 - (r0416*E1a)/(4.*rt2) + (r0816*E2a)/(4.*rt6) - (conj(r0810)*conj(E3a))/(4.*rt2) + (conj(r0410)*conj(E4a))/(4.*rt6));
+ dr1111_dt = -((gt + g1)*r1111) - i*(-(r0511*E1a)/4. + (conj(r0511)*conj(E1a))/4.);
+ dr1313_dt = -((gt + g2)*r1313) - i*(-(r0113*E4a)/(4.*rt6) + (conj(r0113)*conj(E4a))/(4.*rt6));
+ dr1414_dt = -((gt + g2)*r1414) - i*((r0614*E3a)/(8.*rt3) - (r0214*E4a)/8. - (conj(r0614)*conj(E3a))/(8.*rt3) + (conj(r0214)*conj(E4a))/8.);
+ dr1515_dt = -((gt + g2)*r1515) - i*((r0715*E3a)/8. - (r0315*E4a)/8. - (conj(r0715)*conj(E3a))/8. + (conj(r0315)*conj(E4a))/8.);
+ dr1616_dt = -((gt + g2)*r1616) - i*((r0816*E3a)/(4.*rt2) - (r0416*E4a)/(4.*rt6) - (conj(r0816)*conj(E3a))/(4.*rt2) + (conj(r0416)*conj(E4a))/(4.*rt6));
]]>
</operator>
<!--
@@ -527,29 +393,11 @@
<integration_vectors>E_field</integration_vectors>
<dependencies>density_matrix</dependencies>
<![CDATA[
- // Density matrix is Hermitian so we use r_ij=conj(r_ji)
- r1301 = conj(r0113);
- r1402 = conj(r0214);
- r0903 = conj(r0309);
- r1503 = conj(r0315);
- r1004 = conj(r0410);
- r1604 = conj(r0416);
- r1105 = conj(r0511);
- r0206 = conj(r0602);
- r1406 = conj(r0614);
- r0307 = conj(r0703);
- r0907 = conj(r0709);
- r1507 = conj(r0715);
- r0408 = conj(r0804);
- r1008 = conj(r0810);
- r1608 = conj(r0816);
- r1509 = conj(r0915);
- r1610 = conj(r1016);
-
- dE1_dz = 0.16666666666666666*i*eta1*(2.449489742783178*r0903 + 4.242640687119286*r1004 + 6.*r1105) - Lt[E1];
- dE2_dz = -0.4082482904638631*i*eta1*(r0907 + r1008) - Lt[E2];
- dE3_dz = -0.3333333333333333*i*eta2*(1.7320508075688772*r1406 + 3.*r1507 + 4.242640687119286*r1608) - Lt[E3];
- dE4_dz = (i*eta2*(2.449489742783178*r1301 + 3*r1402 + 3*r1503 + 2.449489742783178*r1604))/3. - Lt[E4];
+ //read from Mathematica generated RbPropEquations.txt
+ dE1_dz = 0.16666666666666666*i*Ndens*(2.449489742783178*conj(r0309) + 4.242640687119286*conj(r0410) + 6.*conj(r0511))*eta1 - Lt[E1];
+ dE2_dz = -0.4082482904638631*i*Ndens*(conj(r0709) + conj(r0810))*eta1 - Lt[E2];
+ dE3_dz = -0.3333333333333333*i*Ndens*(1.7320508075688772*conj(r0614) + 3.*conj(r0715) + 4.242640687119286*conj(r0816))*eta2 - Lt[E3];
+ dE4_dz = (i*Ndens*(2.449489742783178*conj(r0113) + 3*conj(r0214) + 3*conj(r0315) + 2.449489742783178*conj(r0416))*eta2)/3. - Lt[E4];
]]>
</operators>
</integrate>
@@ -572,40 +420,6 @@
</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) -->
diff --git a/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected_mg0.dat b/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected_mg0.dat
index ff30ab5..f17a063 100644
--- a/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected_mg0.dat
+++ b/xmds2/realistic_Rb/tests/testsuite/realistic_Rb_expected_mg0.dat
Binary files differ
generated by cgit v1.2.3 (git 2.39.1) at 2024-11-16 13:49:29 +0000