Gaussian ensembles distributions from mixing quantum systems

Ignacio S. Gomez and M. Portesi

Physica A: Statistical Mechanics and its Applications, 2017, vol. 479, issue C, 437-448

Abstract: In the context of dynamical systems we present a derivation of the Gaussian ensembles distributions from quantum systems having a classical analogue that is mixing. We find that factorization property is satisfied for the mixing quantum systems expressed as a factorization of quantum mean values. For the case of the kicked rotator and in its fully chaotic regime, the factorization property links decoherence by dephasing with Gaussian ensembles in terms of the weak limit, interpreted as a decohered state. Moreover, a discussion about the connection between random matrix theory and quantum chaotic systems, based on some attempts made in previous works and from the viewpoint of the mixing quantum systems, is presented.

Keywords: Gaussian ensembles; Mixing; Quantum mixing; Weak limit (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:479:y:2017:i:c:p:437-448

DOI: 10.1016/j.physa.2017.03.005

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