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arxiv: quant-ph/9910102 · v1 · submitted 1999-10-25 · 🪐 quant-ph · chao-dyn· nlin.CD

Quantum revivals, geometric phases and circle map recurrences

S. Seshadri (1) , S. Lakshmibala (2) , V. Balakrishnan (2) ((1) The Institute of Mathematical Sciences , Chennai , India , (2) Indian Institute of Technology - Madras , India) This is my paper
classification 🪐 quant-ph chao-dynnlin.CD
keywords recurrencesrevivalsquantumrevivaladiabaticallycirclecoarse-grainedcoherent
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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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