Two-Time Measurement of Entropy Transfer in Markovian Quantum Dynamics

Abstract

We consider a protocol for the two-time measurement of entropic observables in quantum open systems driven out of thermal equilibrium by coupling to several heat baths. We concentrate on the Markovian approximation of the time-evolution and relate the expected value of the so defined entropy variations with the well-known expression of entropy production due to Lebowitz and Spohn. We do so under the detailed balance condition and, as a byproduct, we show that the probabilities of outcomes of two-time measurements are given by a continuous time Markov process determined by the Lindblad generator of the Markovian quantum dynamics.

Published version

References in corpus (10)

• Electron Counting Statistics and Coherent States of Electric Current
• A Quantum Fluctuation Theorem
• Generators of Detailed Balance Quantum Markov Semigroups
• Generators of KMS Symmetric Markov Semigroups on B(h) Symmetry and Quantum Detailed Balance
• Fluctuations of Quantum Currents and Unravelings of Master Equations
• Entropic fluctuations of quantum dynamical semigroups
• Perturbation Analysis of Quantum Reset Models
• Deviation bounds and concentration inequalities for quantum noises
• Stochastic entropy production: Fluctuation relation and irreversibility mitigation in non-unital quantum dynamics
• Entropy Production of Quantum Reset Models