When is Quantum Decoherence Dynamics Classical?

Abstract

A direct classical analog of quantum decoherence is introduced. Similarities and differences between decoherence dynamics examined quantum mechanically and classically are exposed via a second-order perturbative treatment and via a strong decoherence theory, showing a strong dependence on the nature of the system-environment coupling. For example, for the traditionally assumed linear coupling, the classical and quantum results are shown to be in exact agreement.

5 pages, no figures, to appear in Physical Review Letters

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• Quantum linear mutual information and classical correlations in globally pure bipartite systems
• Semiclassical limit of the entanglement in closed pure systems
• Generation of entanglement in regular systems
• Chaos and Quantum-Classical Correspondence via Phase Space Distribution Functions
• Surprises in the Deep Hilbert Space of all-to-all systems: From super-exponential scrambling to slow entanglement growth
• Entanglement dynamics via coherent-state propagators
• Entanglement dynamics via semiclassical propagators in systems of two spins
• Instantaneous and dynamical decoherence
• Kraus decomposition for chaotic environments including time-dependent subsystem Hamiltonians
• Kraus decomposition for chaotic environments
• Temperature crossover of decoherence rates in chaotic and regular bath dynamics
• Microscopic theory of a precessing ferromagnet for ultrasensitive magnetometry
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems
• Measurement and Memory in the Periodically Driven Complex Ginzburg-Landau equation
• Momentum-space decoherence of distinguishable and identical particles in the Caldeira-Leggett formalism