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

Abstract

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.

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

References in corpus (2)

• Decoherence and the quantum-classical limit in the presence of chaos
• Noise models for superoperators in the chord representation

Cited by in corpus (5)

• Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
• Universality of spectra for interacting quantum chaotic systems
• Quantum to classical transition in a system with a mixed classical dynamics
• Ruelle-Pollicott Decay of Out-of-Time-Order Correlators in Many-Body Systems
• Symmetry Properties of Quantum Dynamical Entropy