Value Statistics of Chaotic Wigner Function | Zendy

Martin Horvat | Zendy; Tomaž Prosen | Zendy

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Value Statistics of Chaotic Wigner Function

Author(s) -

Martin Horvat,

Tomaž Prosen

Publication year - 2003

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.150.348

Subject(s) - wigner distribution function , sawtooth wave , chaotic , statistics , statistical physics , phase space , function (biology) , gaussian , mathematics , limit (mathematics) , initial value problem , physics , quantum mechanics , quantum , mathematical analysis , computer science , computer vision , artificial intelligence , evolutionary biology , biology

We study Wigner function value statistics of classically chaotic quantum mapson compact 2D phase space. We show that the Wigner function statistics of arandom state is a Gaussian, with the mean value becoming negligible compared tothe width in the semi-classical limit. Using numerical example of quantizedsawtooth map we demonstrate that the relaxation of time-dependent Wignerfunction statistics, starting from a coherent initial state, takes place on alogarithmically short log (hbar) time scale.

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