diff options
| -rw-r--r-- | xmds2/Nlevels_no_dopler_with_z/Nlevels_no_dopler_with_z.xmds | 34 |
1 files changed, 14 insertions, 20 deletions
diff --git a/xmds2/Nlevels_no_dopler_with_z/Nlevels_no_dopler_with_z.xmds b/xmds2/Nlevels_no_dopler_with_z/Nlevels_no_dopler_with_z.xmds index 78ab368..f5d7dfa 100644 --- a/xmds2/Nlevels_no_dopler_with_z/Nlevels_no_dopler_with_z.xmds +++ b/xmds2/Nlevels_no_dopler_with_z/Nlevels_no_dopler_with_z.xmds @@ -117,7 +117,7 @@ <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</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 @@ -134,7 +134,7 @@ // 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; + r11 = 1; r22 = 0; r33 = 0; r44 = 0; r12 = 0; r13 = 0; r14 = 0; r23 = 0; r24 = 0; r34 = 0; @@ -156,7 +156,7 @@ <dependencies>E_field</dependencies> <boundary_condition kind="left"> <![CDATA[ - r11 = 1; r22 = 0; r33 = 0; + r11 = 1; r22 = 0; r33 = 0; r44 = 0; r12 = 0; r13 = 0; r14 = 0; r23 = 0; r24 = 0; r34 = 0; @@ -173,25 +173,19 @@ r32=conj(r23); r42=conj(r24); r43=conj(r34); - r44=1- r11 - r22 - r33; + //r44=1- r11 - r22 - r33; // Equations of motions according to Simon's mathematica code - dr11_dt = gt/2. - gt*r11 + E1*i*(-r13 + r31) + G3*r33*R31 + G4*r44*R41; - dr12_dt = -(gt*r12) + i*((-delta1 + delta2)*r12 - E2*r13 - E3*r14 + E1*r32); - dr13_dt = -((G3 + 2*gt)*r13)/2. + i*(-(E1*r11) - E2*r12 - delta1*r13 + E1*r33); - dr14_dt = -((G4 + 2*gt)*r14)/2. + i*(-(E3*r12) - (delta1 - delta2 + delta3)*r14 + E1*r34); - //dr21_dt = -(gt*r21) + i*((delta1 - delta2)*r21 - E1*r23 + E2*r31 + E3*r41); - dr22_dt = gt/2. - gt*r22 + i*(-(E2*r23) - E3*r24 + E2*r32 + E3*r42) + G3*r33*R32 + G4*r44*R42; - dr23_dt = -((G3 + 2*gt)*r23)/2. + i*(-(E1*r21) - E2*r22 - delta2*r23 + E2*r33 + E3*r43); - dr24_dt = -((G4 + 2*gt)*r24)/2. + i*(-(E3*r22) - delta3*r24 + E2*r34 + E3*r44); - //dr31_dt = -((G3 + 2*gt)*r31)/2. + i*(E1*r11 + E2*r21 + delta1*r31 - E1*r33); - //dr32_dt = -((G3 + 2*gt)*r32)/2. + i*(E1*r12 + E2*r22 + delta2*r32 - E2*r33 - E3*r34); - dr33_dt = i*(E1*r13 + E2*r23 - E1*r31 - E2*r32) - (G3 + gt)*r33; - dr34_dt = -((G3 + G4 + 2*gt)*r34)/2. + i*(E1*r14 + E2*r24 - E3*r32 + (delta2 - delta3)*r34); - //dr41_dt = -((G4 + 2*gt)*r41)/2. + i*(E3*r21 + (delta1 - delta2 + delta3)*r41 - E1*r43); - //dr42_dt = -((G4 + 2*gt)*r42)/2. + i*(E3*r22 + delta3*r42 - E2*r43 - E3*r44); - //dr43_dt = -((G3 + G4 + 2*gt)*r43)/2. + i*(E3*r23 - E1*r41 - E2*r42 + (-delta2 + delta3)*r43); - //dr44_dt = E3*i*(r24 - r42) - (G4 + gt)*r44; + dr11_dt = gt/2. - gt*r11 + G3*r33*R31 + G4*r44*R41 + i*(-(E1*r13) + E1c*r31); + dr12_dt = -(gt*r12) + i*((-delta1 + delta2)*r12 - E2*r13 - E3*r14 + E1c*r32); + dr13_dt = -((G3 + 2*gt)*r13)/2. + i*(-(delta1*r13) - E1c*r11 - E2c*r12 + E1c*r33); + dr14_dt = -((G4 + 2*gt)*r14)/2. + i*(-((delta1 - delta2 + delta3)*r14) - E3c*r12 + E1c*r34); + dr22_dt = gt/2. - gt*r22 + G3*r33*R32 + G4*r44*R42 + i*(-(E2*r23) - E3*r24 + E2c*r32 + E3c*r42); + dr23_dt = -((G3 + 2*gt)*r23)/2. + i*(-(delta2*r23) - E1c*r21 - E2c*r22 + E2c*r33 + E3c*r43); + dr24_dt = -((G4 + 2*gt)*r24)/2. + i*(-(delta3*r24) - E3c*r22 + E2c*r34 + E3c*r44); + dr33_dt = -((G3 + gt)*r33) + i*(E1*r13 + E2*r23 - E1c*r31 - E2c*r32); + dr34_dt = -((G3 + G4 + 2*gt)*r34)/2. + i*((delta2 - delta3)*r34 + E1*r14 + E2*r24 - E3c*r32); + dr44_dt = -((G4 + gt)*r44) + i*(E3*r24 - E3c*r42); ]]> </operator> <operator kind="ex" constant="yes"> |