Squeezed states and quantum chaos
Abstract
We examine the dynamics of a wave packet that initially corresponds to a coherent state in the model of quantum kicked rotator. This main model of quantum chaos, which allows for a transition from regular to to chaotic behavior in the classical limit, may be realized in experiments with cold atoms. We study the generation of squeezed states in the quasiclassical limit and in a time interval when quantum-classical correspondence is yet well-defined. We find that the degree of squeezing depends on the degree of local instability in the system and increases with the Chirikov parameter of stochasticity. We discuss the dependence of the degree of squeezing on the initial width of the packet, the problems of stability and observability of squeezed states at the transition to quantum chaos, as well as the dynamics of wave packet destruction.
Cite
@article{arxiv.quant-ph/0111044,
title = {Squeezed states and quantum chaos},
author = {Kirill N. Alekseev and Dima S. Primak},
journal= {arXiv preprint arXiv:quant-ph/0111044},
year = {2009}
}
Comments
11 pages, RevTEX4, 8 figs. Compared to published in JETP, in this version of the text we improved English and made more clear initial locations of wave packet centers on a phase plane of standard map