Exponentially rapid decoherence of quantum chaotic systems

Abstract

We use a recent result to show that the rate of loss of coherence of a quantum system increases with increasing system phase space structure and that a chaotic quantal system in the semiclassical limit decoheres exponentially with rate $2{\lambda }_2$, where ${\lambda }_2$ is a generalized Lyapunov exponent. As a result, for example, the dephasing time for classically chaotic systems goes to infinity logarithmically with the temperature, in accord with recent experimental results.

4 ReVTeX pages + 1 postscript figure. PRL (to appear)

References in corpus (2)

• Intrinsic Decoherence in Mesoscopic Systems
• Chaos and Lyapunov exponents in classical and quantal distribution dynamics

Cited by in corpus (19)

• Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
• Entropy and Wigner Functions
• Entanglement production in coupled chaotic systems : Case of the Kicked Tops
• Lyapunov exponents, entropy production and decoherence
• Parameter scaling in the decoherent quantum-classical transition for chaotic systems
• The production rate of the coarse grained Gibbs entropy and the Kolmogorov-Sinai entropy: a real connection ?
• Chaos and Quantum-Classical Correspondence via Phase Space Distribution Functions
• A semiclassical theory of quantum noise in open chaotic systems
• Chaos and information entropy production
• Trajectory versus probability density entropy
• Quantum Measurement and Entropy Production
• Overlapping Resonances in the Resistance of Superposition States to Decoherence
• Fluctuation-dissipation relationship in chaotic dynamics
• An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
• Weak coupling study of decoherence of a qubit in disordered magnetic environments
• Towards the Thermodynamics of Localization Processes
• Quantum Dynamics Against a Noisy Background
• Biexponential decay and ultralong coherence of a single qubit
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems