Classical decays in decoherent quantum maps

Abstract

We study the asymptotic long-time behavior of open quantum maps and relate the decays to the eigenvalues of a coarse-grained superoperator. In specific ranges of coarse graining, and for chaotic maps, these decay rates are given by the Ruelle-Pollicott resonances of the classical map.

4 pages, 4 figures. Refference added. Submitted to PRL

References in corpus (7)

• Ruelle-Perron-Frobenius spectrum for Anosov maps
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Sensitivity of Quantum Motion for Classically Chaotic Systems
• Decoherence as Decay of the Loschmidt Echo in a Lorentz Gas
• Decoherence for classically chaotic quantum maps
• Classical versus Quantum Time Evolution of Densities at Limited Phase-Space Resolution
• Spectral properties of noisy classical and quantum propagators

Cited by in corpus (27)

• Loschmidt Echo
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Chaos signatures in the short and long time behavior of the out-of-time ordered correlator
• Quantum-to-classical crossover of quasi-bound states in open quantum systems
• Phase-space approach to the study of decoherence in quantum walks
• Spectral properties of noisy classical and quantum propagators
• Decay of the classical Loschmidt echo in integrable systems
• Dissipation time and decay of correlations
• Spectral properties and classical decays in quantum open systems
• Universality of spectra for interacting quantum chaotic systems
• Noise models for superoperators in the chord representation
• Quantum dynamical entropy and decoherence rate
• Momentum dependent quantum Ruelle-Pollicott resonances in translationally invariant many-body systems
• Leading Pollicott-Ruelle Resonances for Chaotic Area-Preserving Maps
• Classical versus quantum errors in quantum computation of dynamical systems
• Classical approach to equilibrium of out-of-time ordered correlators in mixed systems
• The Loschmidt echo in classically chaotic systems: Quantum chaos, irreversibility and decoherence
• Theory of Irreversibility in Quantum Many-Body Systems
• Phase space contraction and quantum operations
• Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas
• Optimal quantum transport on a ring via locally monitored chiral quantum walks
• Linear dynamical entropy and free-independence for quantized maps on the torus
• The classical skeleton of open quantum chaotic maps
• Symmetry Properties of Quantum Dynamical Entropy
• Irreversibility in quantum maps with decoherence
• Relaxation Time of Quantized Toral Maps
• Time Glasses: Symmetry Broken Chaotic Phase with a Finite Gap