Value statistics of chaotic Wigner function
Quantum Physics
2007-05-23 v1 Chaotic Dynamics
Abstract
We study Wigner function value statistics of classically chaotic quantum maps on compact 2D phase space. We show that the Wigner function statistics of a random state is a Gaussian, with the mean value becoming negligible compared to the width in the semi-classical limit. Using numerical example of quantized sawtooth map we demonstrate that the relaxation of time-dependent Wigner function statistics, starting from a coherent initial state, takes place on a logarithmically short log (hbar) time scale.
Keywords
Cite
@article{arxiv.quant-ph/0602007,
title = {Value statistics of chaotic Wigner function},
author = {Martin Horvat and Tomaz Prosen},
journal= {arXiv preprint arXiv:quant-ph/0602007},
year = {2007}
}
Comments
5 pages, 4 figures (4 .eps files); for the proceedings of the 5th International Summer School/Conference in Maribor 2002: Let's Face Chaos through Nonlinear Dynamics