1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
|
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
%defasing matris
g_deph=0;
g_dephasing=zeros(Nlevels);
g_dephasing(1,2)=g_deph;
g_dephasing(2,1)=g_dephasing(1,2);
g_dephasing(1,3)=g_deph;
g_dephasing(3,1)=g_dephasing(1,3);
g_dephasing(1,4)=g_deph;
g_dephasing(4,1)=g_dephasing(4,1);
% dipole matrix
dipole_elements=zeros(Nlevels);
dipole_elements(1,2)=1;
dipole_elements(2,1)=dipole_elements(1,2);
dipole_elements(1,3)=1;
dipole_elements(3,1)=dipole_elements(1,3);
dipole_elements(1,4)=1;
dipole_elements(4,1)=dipole_elements(1,4);
|
