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arXiv · quant-ph/9910102

Quantum revivals, geometric phases and circle map recurrences

S. Seshadri·S. Lakshmibala·V. Balakrishnan
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Abstract

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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S. Seshadri, S. Lakshmibala, V. Balakrishnan. 1999-10-25. Quantum revivals, geometric phases and circle map recurrences. https://doi.org/10.1016/s0375-9601(99)00213-3

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