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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
rb87_D1_line;
%four_levels_with_polarization;
%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=-B_field*gmg*4; % span +/-4 Zeeman splitting
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);
detun_step=(detuning_p_max-detuning_p_min)/N_detun_steps;
fprintf (stderr, "calculating atom properties\n");
fflush (stderr);
% calculate E_field independent properties of the 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 ...
);
elapsed_time = etime (clock (), t0);
fprintf (stderr, "elapsed time so far is %.3f sec\n",elapsed_time);
fflush (stderr);
global atom_properties;
atom_properties.L0m=L0m;
atom_properties.polarizability_m=polarizability_m;
atom_properties.dipole_elements=dipole_elements;
%modulation_freq=[0, wp, wd, -wp, -wd, wp-wd, wd-wp];
E_field_drive =[0, 0 , Ed, 0 , Edc, 0, 0 ];
E_field_probe =[0, Ep, 0 , Epc, 0 , 0, 0 ];
E_field_zero =[0, 0 , 0 , 0 , 0 , 0, 0 ];
E_field_lab.linear = E_field_zero + (1.00000+0.00000i)*E_field_probe + (1.00000+0.00000i)*E_field_drive;
E_field_lab.right = E_field_zero + (0.00000+0.00000i)*E_field_probe + (0.00000+0.00000i)*E_field_drive;
E_field_lab.left = E_field_zero + (0.00000+0.00000i)*E_field_probe + (0.00000+0.00000i)*E_field_drive;
% phi is angle between linear polarization and axis x
phi=pi*2/8;
% theta is angle between lab z axis (light propagation direction) and magnetic field axis (z')
theta=pi/2;
% we define light as linearly polarized
% where phi is angle between light polarization and axis x
E_field_lab.x=cos(phi)*E_field_lab.linear;
E_field_lab.y=sin(phi)*E_field_lab.linear;
E_field_lab.z=E_field_zero;
basis_transformation; % load subroutines
coord_transf_m = lin2circ * oldlin2newlin(theta);
E_field.right = coord_transf_m(1,1)*E_field_lab.x + coord_transf_m(1,2)*E_field_lab.y + coord_transf_m(1,3)*E_field_lab.z;
E_field.left = coord_transf_m(2,1)*E_field_lab.x + coord_transf_m(2,2)*E_field_lab.y + coord_transf_m(2,3)*E_field_lab.z;
E_field.linear = coord_transf_m(3,1)*E_field_lab.x + coord_transf_m(3,2)*E_field_lab.y + coord_transf_m(3,3)*E_field_lab.z;
fprintf (stderr, "tuning laser in forloop to set conditions vs detuning\n");
fflush (stderr);
for detuning_p_cntr=1:N_detun_steps+1;
wp0=w_pf1;
wd=w_pf1-w_hpf_ground;
detuning_p=detuning_p_min+detun_step*(detuning_p_cntr-1);
wp=wp0+detuning_p;
wm=wd-(wp-wd);
%modulation_freq=[0, wp, wd, wm, -wp, -wd, -wm, wp-wd, wd-wp];
modulation_freq=[0, wp, wd, -wp, -wd, wp-wd, wd-wp];
freq_index=freq2index(wp,modulation_freq);
atom_field_problem.E_field = E_field;
atom_field_problem.modulation_freq = modulation_freq;
atom_field_problem.freq_index = freq_index;
problems_cell_array{detuning_p_cntr}=atom_field_problem;
%kappa_p(detuning_p_cntr)=susceptibility_steady_state_at_freq( atom_field_problem);
detuning_freq(detuning_p_cntr)=detuning_p;
endfor
save 'problem_definition.mat' problems_cell_array atom_properties detuning_freq ;
fprintf (stderr, "now really hard calculations begin\n");
fflush (stderr);
% once we define all problems the main job is done here
%kappa_p=cellfun( @susceptibility_steady_state_at_freq, problems_cell_array);
%kappa_p=parcellfun(2, @susceptibility_steady_state_at_freq, problems_cell_array);
%[xi_linear, xi_left, xi_right]=parcellfun(2, @susceptibility_steady_state_at_freq, problems_cell_array);
total_absorption_vs_detuning=parcellfun(2, @total_field_absorption, problems_cell_array);
%save 'xi_vs_detuning.mat' detuning_freq xi_linear xi_left xi_right ;
save 'total_absorption_vs_detuning.mat' detuning_freq total_absorption_vs_detuning;
output_results;
elapsed_time = etime (clock (), t0)
% vim: ts=2:sw=2:fdm=indent
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