Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas

Details Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas

2005-05-06

arxiv.org/abs/quant-ph/0505043v1

Mod. Phys. Lett. B 19, 341 (2005) (World Scientific)

Physics

Quantum Physics

Brief Review to appear in the April '05 Issue of Mod. Phys. Lett. B (World Scientific)

Scientific paper

10.1142/S0217984905008402

Correspondence in quantum chaotic systems is lost in short time scales. Introducing some noise we study the spectrum of the resulting coarse grained propagaor of density matrices. Some differen methods to compute the spectrum are reviewed. Moreover, the relationship between the eigenvalues of the coarse-grained superoperator and the classical Ruelle-Pollicott resonances is remarked. As a concequence, classical decay rates in quantum time dependent quantities appear.

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