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Paper   IPM / Nano-Sciences / 14919
School of Nano Science
  Title:   Entropy production and non-Markovian dynamical maps
1.  Stefano Marcantoni
2.  Sahar Alipour
3.  F. Benatti
4.  R. Floreanini
5.  Ali Rezakhani
  Status:   Published
  Journal: Scientific Reports
  Vol.:  7
  Year:  2017
  Pages:   12447
  Publisher(s):   Scientific Reports
  Supported by:  IPM
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 (i.e., completely positive and trace preserving) non-Markovian dynamical maps. Moreover, in the absence of the semigroup property, if the reduced dynamics has a thermal asymptotic state, this need not be stationary. In this case, 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.

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