3.11 Excited State Decay to a Quasi-continuum
113
Fermi rule exponential
numerical simulation
numerical simulation
numerical simulation
time,fs
P
B
(t)
20000
15000
10000
5000
0
1
0.8
0.6
0.4
0.2
0
Fermi rule exponential
time,fs
20000
15000
10000
5000
0
1
0.8
0.6
0.4
0.2
0
Fermi rule exponential
time,fs
20000
15000
10000
5000
0
1
0.8
0.6
0.4
0.2
0
P
B
(t)
P
B
(t)
Fig. 3.9 Plot of the probability of the bright state P B (t) = ||Ψ (t) |B |
2 as a function of time. The
excitation is made with a pulse of constant amplitude and duration of 200 fs. Upper panel: BixonJortner model with Δε = 2 cm −1 and V = 0.5 cm −1 . Middle panel: the same with two random
sequences of ε K levels and V B,K couplings. Lower panel: average probability obtained from 50
random choices of the ε K and V B,K
113
Fermi rule exponential
numerical simulation
numerical simulation
numerical simulation
time,fs
P
B
(t)
20000
15000
10000
5000
0
1
0.8
0.6
0.4
0.2
0
Fermi rule exponential
time,fs
20000
15000
10000
5000
0
1
0.8
0.6
0.4
0.2
0
Fermi rule exponential
time,fs
20000
15000
10000
5000
0
1
0.8
0.6
0.4
0.2
0
P
B
(t)
P
B
(t)
Fig. 3.9 Plot of the probability of the bright state P B (t) = ||Ψ (t) |B |
2 as a function of time. The
excitation is made with a pulse of constant amplitude and duration of 200 fs. Upper panel: BixonJortner model with Δε = 2 cm −1 and V = 0.5 cm −1 . Middle panel: the same with two random
sequences of ε K levels and V B,K couplings. Lower panel: average probability obtained from 50
random choices of the ε K and V B,K