dorsal/arxiv
View SchemaSub-Poissonian statistics in order-to-chaos transition
| Authors | Gagik Yu. Kryuchkyan, Suren B. Manvelyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302048 |
| URL | https://arxiv.org/abs/quant-ph/0302048 |
| DOI | 10.1103/PhysRevA.68.013823 |
Abstract
We study the phenomena at the overlap of quantum chaos and nonclassical statistics for the time-dependent model of nonlinear oscillator. It is shown in the framework of Mandel Q-parameter and Wigner function that the statistics of oscillatory excitation number is drastically changed in order-to chaos transition. The essential improvement of sub-Poissonian statistics in comparison with an analogous one for the standard model of driven anharmonic oscillator is observed for the regular operational regime. It is shown that in the chaotic regime the system exhibits the range of sub- and super-Poissonian statistics which alternate one to other depending on time intervals. Unusual dependence of the variance of oscillatory number on the external noise level for the chaotic dynamics is observed.
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"abstract": "We study the phenomena at the overlap of quantum chaos and nonclassical\nstatistics for the time-dependent model of nonlinear oscillator. It is shown in\nthe framework of Mandel Q-parameter and Wigner function that the statistics of\noscillatory excitation number is drastically changed in order-to chaos\ntransition. The essential improvement of sub-Poissonian statistics in\ncomparison with an analogous one for the standard model of driven anharmonic\noscillator is observed for the regular operational regime. It is shown that in\nthe chaotic regime the system exhibits the range of sub- and super-Poissonian\nstatistics which alternate one to other depending on time intervals. Unusual\ndependence of the variance of oscillatory number on the external noise level\nfor the chaotic dynamics is observed.",
"arxiv_id": "quant-ph/0302048",
"authors": [
"Gagik Yu. Kryuchkyan",
"Suren B. Manvelyan"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.68.013823",
"title": "Sub-Poissonian statistics in order-to-chaos transition",
"url": "https://arxiv.org/abs/quant-ph/0302048"
},
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