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1;
clear all;
t0 = clock (); % we will use this latter to calculate elapsed time
% load useful functions;
useful_functions;
% some physical constants
useful_constants;
% load atom energy levels and decay description
four_levels;
%three_levels;
%two_levels;
% load EM field description
field_description;
Nfreq=length(modulation_freq);
%tune probe frequency
detuning_p=0;
N_detun_steps=100;
detuning_p_min=-1;
detuning_p_max=-detuning_p_min;
detuning_freq=zeros(1,N_detun_steps+1);
kappa_p =zeros(1,N_detun_steps+1);
kappa_m =zeros(1,N_detun_steps+1);
wp0=w12;
wp=wp0+detuning_p_min;
wm=wd-(wp-wd);
%modulation_freq=[0, wp, wd, wm, -wp, -wd, -wm, wp-wd, wd-wp];
%E_field =[0, Ep, Ed, Em, Epc, Edc, Emc, 0, 0 ];
modulation_freq=[0, wp, wd, -wp, -wd, wp-wd, wd-wp];
E_field =[0, Ep, Ed, Epc, Edc, 0, 0 ];
Nfreq=length(modulation_freq);
% now we create Liouville indexes list
[N, rhoLiouville_w, rhoLiouville_r, rhoLiouville_c]=unfold_density_matrix(Nlevels,Nfreq);
rhoLiouville=zeros(N,1);
% calculate E_field independent properties of athe atom
% to be used as sub matrix templates for Liouville operator matrix
[L0m, polarizability_m]=L0_and_polarization_submatrices( ...
Nlevels, ...
H0, g_decay, g_dephasing, dipole_elements ...
);
% Liouville operator matrix construction
L=Liouville_operator_matrix(
N,
L0m, polarizability_m,
E_field,
modulation_freq, rhoLiouville_w, rhoLiouville_r, rhoLiouville_c
);
%use the fact that sum(rho_ii)=1 to constrain solution
[rhoLiouville_dot, L]=constrain_rho_and_match_L(
N, L,
modulation_freq, rhoLiouville_w, rhoLiouville_r, rhoLiouville_c);
%solving for density matrix vector
rhoLiouville=L\rhoLiouville_dot;
L_new=L;
rhoLiouville_new=rhoLiouville;
% uncomment to update reference file
% save 'L_and_rhoL_referenced.mat' L
diff_with_reference=sum(sum(abs(L_new-L)))
elapsed_time = etime (clock (), t0)
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