Entropy production and detailed balance for a class of quantum Markov semigroups

Abstract

We give an explicit entropy production formula for a class of quantum Markov semigroups, arising in the weak coupling limit of a system coupled with reservoirs, whose generators $\mathcal{L}$ are sums of other generators ${\mathcal{L}}_{\omega }$ associated with positive Bohr frequencies $\omega$ of the system. As a consequence, we show that any such semigroup satisfies the quantum detailed balance condition with respect to an invariant state if and only if all semigroups generated by each ${\mathcal{L}}_{\omega }$ so do with respect to the same invariant state.

References in corpus (5)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Quantum jumps and entropy production
• Entropic fluctuations of quantum dynamical semigroups
• Entropy Production for Quantum Markov Semigroups
• Detailed balance and entanglement

Cited by in corpus (3)

• Duality for open fermion systems: energy-dependent weak coupling and quantum master equations
• Fermionic quantum detailed balance and entanglement
• Quantum detailed balance via elementary transitions