Quantum revivals, geometric phases and circle map recurrences
Quantum Physics
2009-10-31 v1 chao-dyn
Chaotic Dynamics
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 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.
Cite
@article{arxiv.quant-ph/9910102,
title = {Quantum revivals, geometric phases and circle map recurrences},
author = {S. Seshadri and S. Lakshmibala and V. Balakrishnan},
journal= {arXiv preprint arXiv:quant-ph/9910102},
year = {2009}
}
Comments
9 pages