Quantum revivals, geometric phases and circle map recurrences

Details Quantum revivals, geometric phases and circle map recurrences Quantum revivals, geometric phases and circle map recurrences

1999-10-25

arxiv.org/abs/quant-ph/9910102v1

Phys. Lett. A 256 (1999) 15-19

Physics

Quantum Physics

9 pages

Scientific paper

10.1016/S0375-9601(99)00213-3

Revivals of the coherent states of a deformed, adiabatically and cyclically varying oscillator Hamiltonian are examined. The revival time distribution is exactly that of Poincar\'{e} 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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