360
10 Time-Periodic Quantum Systems
Fig. 10.8 Strobe plot of ˜
n
versus φ for the classical
phase space for the
Hamiltonian in Eq. (10.39),
taken at time intervals
T = 20 μs, for ω = 6.0. (a)
The case α = 2.0. (b) The
case α = 9.7 used in the
experiment (Luter and Reichl
2002)
10.5.2 Average Momentum of Cesium Atoms
The experiment used atoms prepared initially with a minimum uncertainty wave
packet peaked at n = 4.1 (on the upper island) (Steck et al. 2001, 2002). This may
be represented by the coherent state
n |φ o n o =
σ 2
π
1
4
exp
−σ 2
2
(n − n o )
2
− i (n − n o ) φ o
(10.40)
10 Time-Periodic Quantum Systems
Fig. 10.8 Strobe plot of ˜
n
versus φ for the classical
phase space for the
Hamiltonian in Eq. (10.39),
taken at time intervals
T = 20 μs, for ω = 6.0. (a)
The case α = 2.0. (b) The
case α = 9.7 used in the
experiment (Luter and Reichl
2002)
10.5.2 Average Momentum of Cesium Atoms
The experiment used atoms prepared initially with a minimum uncertainty wave
packet peaked at n = 4.1 (on the upper island) (Steck et al. 2001, 2002). This may
be represented by the coherent state
n |φ o n o =
σ 2
π
1
4
exp
−σ 2
2
(n − n o )
2
− i (n − n o ) φ o
(10.40)