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related topics |
{classical, space, random} |
{state, states, coherent} |
{time, wave, function} |
{energy, gaussian, time} |
{phase, path, phys} |
{group, space, representation} |
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Value statistics of chaotic Wigner function
Martin Horvat, Tomaz Prosen
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0602007
- categories:
- quant-ph nlin.CD
- 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
- arxiv_id:
- quant-ph/0602007
- created:
- 2006-02-01
Full article ▸
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