added test case

1 files changed, 80 insertions, 0 deletions

diff --git a/test.m b/test.m
new file mode 100644
index 0000000..b6b829e
--- /dev/null
+++ b/test.m
@@ -0,0 +1,80 @@
+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)