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1;
Nlevels=4;
w1=1e9;
w2=0;
w_hpf=6800;
w3=w_hpf;
w4=w_hpf+.1; % separation of levels |3> and |4> somewhat like Zeeman splitting
w12=w1-w2;
w13=w1-w3;
%
% ----------- |1>
% / \
% E_d / \
% / \ E_p
% / \
% -------- |3> \
% -------- |4> \
% \
% ___________ |2>
% unperturbed Hamiltonian energy levels
levels_energy=[ w1, 0, w3, w4];
levels_energy=levels_energy*hbar;
H0=zeros(Nlevels);
H0=diag(levels_energy);
%for i=1:Nlevels
%H0(i,i)=levels_energy(i);
%endfor
% decay matrix g(i,j) correspnds to decay from i-->j
gamma=6;
gamma_23=.001;
g_decay=zeros(Nlevels);
g_decay(1,2)=gamma; %upper level decay
g_decay(1,3)=gamma; %upper level decay
g_decay(1,4)=gamma; %upper level decay
g_decay(3,2)=gamma_23; % lower levels mixing
g_decay(2,3)=gamma_23; % lower levels mixing
g_decay(4,2)=gamma_23; % lower levels mixing
g_decay(2,4)=gamma_23; % lower levels mixing
% dipole matrix
dipole_elements.left=zeros(Nlevels);
dipole_elements.left(1,2)=1;
dipole_elements.left(2,1)=dipole_elements.left(1,2);
dipole_elements.left(1,3)=0;
dipole_elements.left(3,1)=dipole_elements.left(1,3);
dipole_elements.left(1,4)=0;
dipole_elements.left(4,1)=dipole_elements.left(1,4);
dipole_elements.right=zeros(Nlevels);
dipole_elements.right(1,2)=0;
dipole_elements.right(2,1)=dipole_elements.right(1,2);
dipole_elements.right(1,3)=1;
dipole_elements.right(3,1)=dipole_elements.right(1,3);
dipole_elements.right(1,4)=1;
dipole_elements.right(4,1)=dipole_elements.right(1,4);
dipole_elements.linear=zeros(Nlevels);
dipole_elements.linear(1,2)=0;
dipole_elements.linear(2,1)=dipole_elements.linear(1,2);
dipole_elements.linear(1,3)=0;
dipole_elements.linear(3,1)=dipole_elements.linear(1,3);
dipole_elements.linear(1,4)=0;
dipole_elements.linear(4,1)=dipole_elements.linear(1,4);
maximum_dipole_elements=dipole_elements.linear + dipole_elements.left + dipole_elements.right;
%defasing matrix
g_deph=0;
g_dephasing=zeros(Nlevels);
% dephasing only for non zero dipole elements (am I right?)
g_dephasing=g_deph*(maximum_dipole_elements != 0);
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