Entanglement-induced Decoherence and Energy Eigenstates

Abstract

Using recent results in the field of quantum chaos we derive explicit expressions for the time scale of decoherence induced by the system-environment entanglement. For a generic system-environment interaction and for a generic quantum chaotic system as environment, conditions are derived for energy eigenstates to be preferred states in the weak coupling regime. A simple model is introduced to numerically confirm our predictions. The results presented here may also help understanding the dynamics of quantum entanglement generation in chaotic quantum systems.

5 pages and 3 figures

References in corpus (31)

• Chaos and Quantum Thermalization
• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• Canonical Typicality
• Decay of Loschmidt Echo Enhanced by Quantum Criticality
• Dynamics of Loschmidt echoes and fidelity decay
• Environment-independent decoherence rate in classically chaotic systems
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Quantum limit of decoherence: Environment induced superselection of energy eigenstates
• Gaussian Decoherence from Random Spin Environments
• Decoherence from spin environments
• Decoherence and the Loschmidt echo
• Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems
• Stability of quantum motion and correlation decay
• Testing statistical bounds on entanglement using quantum chaos
• Universality of Decoherence
• Dynamical aspects of quantum entanglement for weakly coupled kicked tops
• Entanglement production in coupled chaotic systems : Case of the Kicked Tops
• Measuring the Lyapunov exponent using quantum mechanics
• Robustness and diffusion of pointer states
• A Uniform Approximation for the Fidelity in Chaotic Systems
• Decoherence and Thermalization
• Global entangling properties of the coupled kicked tops
• Intrinsic Decoherence Dynamics in Smooth Hamiltonian Systems: Quantum-classical Correspondence
• Decoherence alias Loschmidt echo of the environment
• Stability of Quantum Motion: Beyond Fermi-golden-rule and Lyapunov decay
• Exact decoherence to pointer states in free open quantum systems is universal
• Crossover of quantum Loschmidt echo from golden rule decay to perturbation-independent decay
• Uniform semiclassical approach to fidelity decay in the deep Lyapunov regime
• Uniform Semiclassical Approach to Fidelity Decay: from Weak to Strong Perturbation
• A Bell pair in a generic random matrix environment
• Atom Lasers, Coherent States, and Coherence:II. Maximally Robust Ensembles of Pure States

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