Spectral properties and classical decays in quantum open systems

Details Spectral properties and classical decays in quantum open systems Spectral properties and classical decays in quantum open systems

2003-12-23

arxiv.org/abs/nlin/0312062v3

Nonlinear Sciences

Chaotic Dynamics

14 pages, 8 figures. submitted to PRE. Typos corrected. Refferences added. Fig 5 corrected. Some changes following refferees'

Scientific paper

10.1103/PhysRevE.69.056211

We study the relationship between the spectral properties of diffusive open quantum maps and the classical spectrum of Ruelle-Pollicott resonances. The leading resonances determine the asymptotic time regime for several quantities of interest - the linear entropy, the Loschmidt echo and the correlations of the initial state. A numerical method that allow an efficient calculation of the leading spectrum is developed using a truncated basis adapted to the dynamics.

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