Value Statistics of Chaotic Wigner Function
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概要
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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 semiclassical 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 〓) time scale.
- 理論物理学刊行会の論文
- 2003-09-30
著者
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Horvat Martin
Faculty Of Mathematics And Physics University Of Ljubljana
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PROSEN Tomaz
Faculty of Mathematics and Physics, University of Ljubljana
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Prosen Tomaz
Faculty Of Mathematics And Physics University Of Ljubljana
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HORVAT Martin
Faculty of Mathematics and Physics, University of Ljubljana