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Quantum revivals, geometric phases and circle map recurrences

✍ Scribed by S. Seshadri; S. Lakshmibala; V. Balakrishnan

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
66 KB
Volume
256
Category
Article
ISSN
0375-9601

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✦ Synopsis

Revivals of the coherent states of a deformed, adiabatically and cyclically varying oscillator Hamiltonian are examined. The revival time distribution is exactly that of Poincare recurrences for a rotation map: only three distinct revival times can Γ³ccur, 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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## Abstract **Summary:** Basic results on conformational chain statistics were formerly derived from scaling concepts for geometry and a relativistic picture of Brownian self‐diffusion in liquids. A polymer conformation was interpreted as a geometrical scaling law of its monomer shape, where the co