ua nt - p h / 99 10 10 1 v 1 2 5 O ct 1 99 9 Control of Wave Packet Revivals Using Geometric Phases
نویسنده
چکیده
Wave packets in a system governed by a Hamiltonian with a generic nonlinear spectrum typically exhibit both full and fractional revivals. It is shown that the latter can be eliminated by inducing suitable geometric phases in the states, by varying the parameters in the Hamiltonian cyclically with a period T . Further, with the introduction of this natural time step T , the occurrence of near revivals can be mapped onto that of Poincaré recurrences in an irrational rotation map of the circle. The distinctive recurrence time statistics of the latter can thus serve as a clear signature of the dynamics of wave packet revivals.
منابع مشابه
ua nt - p h / 99 10 10 2 v 1 2 5 O ct 1 99 9 Quantum revivals , geometric phases and circle map recurrences
Revivals of the coherent states of a deformed, adiabatically and cyclically varying oscillator Hamiltonian are examined. The revival time distribution is exactly that of Poincaré recurrences for a rotation map: only three distinct revival times can occur, with specified weights. A link is thus established between quantum revivals and recurrences in a coarse-grained discrete-time dynamical system.
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