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Exact and semiclassical Husimi distributions of Quantum Map Eigenstates

2001/05/03 by Marcos Saraceno, M. Saraceno, Saraceno, M. +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Random Matrices and Applications #nlin.CD

paper · pdf · doi:10.48550/arxiv.nlin/0105006

10 pages, 6 figures

arxiv created 2001/05/03 · arxiv updated 2009/11/30

Abstract

The projector onto single quantum map eigenstates is written only in terms of powers of the evolution operator, up to half the Heisenberg time, and its traces. These powers are semiclassically approximated, by a complex generating function, giving the Husimi distribution of the eigenstates. The results are tested on the Cat and Baker maps.

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