Quantum Irreversibility of Energy Spreading

Abstract

The analysis of dissipation and dephasing in driven mesoscopic devices requires a distinction between two notions of quantum irreversibility. One ("Loschmidt echo") is related to "time reversal", while the other is related to "driving reversal". In the latter context the time of maximum return (compensation) should substitute the inappropriate notion of "echo" time. Non-perturbative features manifest themselves in the energy spreading process. This is demonstrated for the prototype random-matrix Wigner model, where the compensation time and the system response exhibit a non-universal scaling behavior.

7 pages, 3 figures, published EPL format

References in corpus (8)

• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Sensitivity of Wave Field Evolution and Manifold Stability in Chaotic Systems
• Quantum Chaotic Environments, The Butterfly Effect, And Decoherence
• Decoherence as Decay of the Loschmidt Echo in a Lorentz Gas
• Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states
• A random matrix approach to decoherence
• Failure of random matrix theory to correctly describe quantum dynamics
• Dephasing due to the interaction with chaotic degrees of freedom

Cited by in corpus (13)

• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Semiclassical evaluation of quantum fidelity
• Dephasing representation: Employing the shadowing theorem to calculate quantum correlation functions
• Quantum freeze of fidelity decay for a class of integrable dynamics
• Probing Localization in Absorbing Systems via Loschmidt Echos
• Complexity of Quantum States and Reversibility of Quantum Motion
• Critical Fidelity
• Quantum Reversibility: Is there an Echo?
• Evolution of entanglement under echo dynamics
• Wavepacket Dynamics, Quantum Reversibility and Random Matrix Theory
• Anomalous decay of a prepared state due to non-Ohmic coupling to the continuum
• Quantum decay into a non-flat continuum
• Short-Time Loschmidt Gap in Dynamical Systems with Critical Chaos