PMID: 15244908Jul 13, 2004Paper

Spectral properties and classical decays in quantum open systems

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ignacio García-Mata, Marcos Saraceno

Abstract

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 allows an efficient calculation of the leading spectrum is developed using a truncated basis adapted to the dynamics.

References

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Citations

Dec 6, 2018·Physical Review Letters·Ignacio García-MataDiego A Wisniacki
Dec 15, 2010·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Ignacio García-MataDiego A Wisniacki
Aug 16, 2006·Physical Review Letters·Sandro WimbergerAndreas Buchleitner
May 16, 2007·Physical Review Letters·Ignacio García-MataAndreas Buchleitner

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