Value statistics of chaotic Wigner function
نویسنده
چکیده
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.
منابع مشابه
Wigner function statistics in classically chaotic systems
We have studied statistical properties of the values of the Wigner function W (x) of 1D quantum maps on compact 2D phase space of finite area V . For this purpose we have defined a Wigner function probability distribution P (w) = (1/V ) ∫ δ(w − W (x))dx, which has, by definition, fixed first and second moment. In particular, we concentrate on relaxation of time evolving quantum state in terms o...
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