Entropy production and non-Markovian dynamical maps

Research output: Contribution to journalArticleScientificpeer-review

Researchers

  • S. Marcantoni
  • S. Alipour
  • F. Benatti
  • R. Floreanini
  • A. T. Rezakhani

Research units

  • Università Degli Studi di Trieste
  • National Institute for Nuclear Physics
  • Institute for Research in Fundamental Sciences
  • Sharif University of Technology

Abstract

In the weak-coupling limit approach to open quantum systems, the presence of the bath is eliminated and accounted for by a master equation that introduces dissipative contributions to the system reduced dynamics: within this framework, there are no bath entropy contributions to the entropy balance. We show that, as a consequence, the entropy production fails to be positive for a class of physically legitimate, that is completely positive and trace preserving, non-Markovian dynamical maps. Moreover, in absence of the semigroup property, if the reduced dynamics has a thermal asymptotic state, this need not be stationary. Then even the integrated entropy production becomes negative. These observations imply that, when the conditions leading to reduced dynamics of semigroup type are relaxed, a consistent formulation of the second law of thermodynamics requires that the environment contribution to the entropy balance be explicitly taken into account.

Details

Original languageEnglish
Article number12447
JournalScientific Reports
Volume7
Issue number1
Publication statusPublished - 1 Dec 2017
MoE publication typeA1 Journal article-refereed

ID: 39186923