Fluctuation and dissipation in memoryless open quantum evolutions
Abstract
The von Neumann entropy rate for open quantum systems is, in general, written in terms of entropy production and entropy flow rates, encompassing the second law of thermodynamics. For memoryless open quantum systems, whose evolutions correspond to oneparameter quantum dynamical semigroups, we find a decomposition of the infinitesimal generator of the dynamics that unveils the fluctuationdissipation structure of these evolutions. Thus, the fluctuation part of this decomposition allows to relate the von Neumann entropy rate with the divergencebased quantum Fisher information, at any time. Applied to continuousintime quantum Gaussian channels, our decomposition leads to the quantum analog of the generalized classical de Bruijn identity, thus expressing the quantum fluctuationdissipation relation in that kind of channels. Finally, from this perspective, we analyze how stationarity arises.
 Publication:

Physical Review A
 Pub Date:
 December 2021
 DOI:
 10.1103/PhysRevA.104.062207
 arXiv:
 arXiv:2108.00087
 Bibcode:
 2021PhRvA.104f2207T
 Keywords:

 Quantum Physics;
 Computer Science  Information Theory
 EPrint:
 doi:10.1103/PhysRevA.104.062207