An entropic gradient structure for lindblad equations and couplings of quantum systems to macroscopic models

Item Type:	Article
Title:	An entropic gradient structure for lindblad equations and couplings of quantum systems to macroscopic models
Creators Name:	Mittnenzweig, M. and Mielke, A.
Abstract:	We show that all Lindblad operators (i.e., generators of quantum Markov semigroups) on a finite-dimensional Hilbert space satisfying the detailed balance condition with respect to the thermal equilibrium state can be written as a gradient system with respect to the relative entropy. We discuss also thermodynamically consistent couplings to macroscopic systems, either as damped Hamiltonian systems with constant temperature or as GENERIC systems.
Keywords:	Quantum Markov Semigroups, Relative Entropy, Gradient Structure, General Equations for non-Equilibrium Reversible Irreversible Coupling
Source:	Journal of Statistical Physics
ISSN:	0022-4715
Publisher:	Springer
Volume:	167
Number:	2
Page Range:	205-233
Date:	April 2017
Official Publication:	https://doi.org/10.1007/s10955-017-1756-4

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