SPECTRAL APPROACH TO CHAOS AND QUANTUM-CLASSICAL CORRESPONDENCE IN QUANTUM MAPS

DOI10.1142/S0217984905008402zbMath1067.81043arXivquant-ph/0505043MaRDI QIDQ3025052

Ignacio García-Mata, Marcos Saraceno

Publication date: 4 July 2005

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0505043

zbMATH Keywords

quantum-classical correspondencequantum open systemslong time decays

Mathematics Subject Classification ID

Quantum chaos (81Q50) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)

Related Items (1)

A Dynamical Point of View of Quantum Information: Discrete Wigner Measures

Cites Work

• The quantized Baker's transformation
• On the generators of quantum dynamical semigroups
• Quantization of Anosov maps
• Decoherence, einselection, and the quantum origins of the classical
• Resonances for intermittent systems
• Decay of correlations for the automorphism of the torus
• The correlation spectrum for hyperbolic analytic maps
• Spectral properties of noisy classical and quantum propagators
• Determination of correlation spectra in chaotic systems
• Quantum coherence, evolution of the Wigner function, and transition from quantum to classical dynamics for a chaotic system
• Ruelle Perron Frobenius spectrum for Anosov maps
• Linear Canonical Transformations and Their Unitary Representations

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