Microscopic reversibility of quantum open systems
arXiv:1106.1982 · doi:10.1088/1751-8113/45/12/125001
Abstract
The transition probability for time-dependent unitary evolution is invariant under the reversal of protocols just as in the classical Liouvillian dynamics. In this article, we generalize the expression of microscopic reversibility to externally perturbed large quantum open systems. The time-dependent external perturbation acts on the subsystem during a transient duration, and subsequently the perturbation is switched off so that the total system would thermalize. We concern with the transition probability for the subsystem between the initial and final eigenstates of the subsystem. In the course of time evolution, the energy is irreversibly exchanged between the subsystem and reservoir. The time reversed probability is given by the reversal of the protocol and the initial ensemble. Microscopic reversibility equates the time forward and reversed probabilities, and therefore appears as a thermodynamic symmetry for open quantum systems.
numerical demonstration is corrected
References in corpus (7)
- Entropy production as correlation between system and reservoir
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Symmetry in Full Counting Statistics, Fluctuation Theorem, and Relations among Nonlinear Transport Coefficients in the Presence of a Magnetic Field
- Quantum Operation Time Reversal
- Quantum work relations and response theory
- A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems
- Microscopic analysis of the microscopic reversibility in quantum systems