0.05
2 k-states, E_1=E_2=E
6
0.00
Excitons energies, linear spectrum:
E_ground (P1,P2 in phase) at E-2v
E_excited (P1,P2 out of phase) E
Re λ
5
-0.05
3
-0.10
-0.15
2 1
-2
-1
here v=1, n=0.1, gm_p=0.1, gm_f=0
4
0
1
Rotating frame is omega_mu,
i.e. lamdda=0 corresponds to oscillation
at frequency omega_mu
2
Im λ
3
3
Eigvec 2
Eigvec 1
Condensate frequency at 1,2,5,6
3
2
2
1
1
0
0
-1
-1
-2
-2
Eigvec 3
2
modulus
1
0
-1
phase (rad)
-2
-3
-3
1
P1
2
3
4
P2
P1*
P2*
5
6
f1
f2
State 3 is at excited state
State 4 is sideband of state 3
Separation 2-3 is 2v, independent of n
-3
1
2
3
4
5
6
1
2
3
4
5
6
Goldstone 6, P1,P2 in phase
(like E_ground)
3
3
3
2
2
1
1
0
0
Eigvec 4
2
Eigvec 6
1
0
-1
-1
-1
-2
Eigvec 5
-2
-3
1
2
3
4
5
6
Goldstone 5, P1,P2 out of phase
(like excited state)
-2
-3
-3
1
2
3
4
5
6
1
2
3
4
5
6