dorsal/arxiv
View SchemaValue statistics of chaotic Wigner function
| Authors | Martin Horvat, Tomaz Prosen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0602007 |
| URL | https://arxiv.org/abs/quant-ph/0602007 |
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.
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"abstract": "We study Wigner function value statistics of classically chaotic quantum maps\non compact 2D phase space. We show that the Wigner function statistics of a\nrandom state is a Gaussian, with the mean value becoming negligible compared to\nthe width in the semi-classical limit. Using numerical example of quantized\nsawtooth map we demonstrate that the relaxation of time-dependent Wigner\nfunction statistics, starting from a coherent initial state, takes place on a\nlogarithmically short log (hbar) time scale.",
"arxiv_id": "quant-ph/0602007",
"authors": [
"Martin Horvat",
"Tomaz Prosen"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"title": "Value statistics of chaotic Wigner function",
"url": "https://arxiv.org/abs/quant-ph/0602007"
},
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