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A thermodynamically consistent Markovian master equation beyond the secular approximation

Potts, Patrick LU orcid ; Sand Kalaee, Alex Arash LU and Wacker, Andreas LU orcid (2021) In New Journal of Physics 23.
Abstract
Markovian master equations provide a versatile tool for describing open quantum systems whenmemory effects of the environment may be neglected. As these equations are of an approximatenature, they often do not respect the laws of thermodynamics when no secular approximation isperformed in their derivation. Here we introduce a Markovian master equation that isthermodynamically consistent and provides an accurate description whenever memory effects canbe neglected. The thermodynamic consistency is obtained through a rescaled Hamiltonian for thethermodynamic bookkeeping, exploiting the fact that a Markovian description implies a limitedresolution for heat. Our results enable a thermodynamically consistent description of a variety ofsystems... (More)
Markovian master equations provide a versatile tool for describing open quantum systems whenmemory effects of the environment may be neglected. As these equations are of an approximatenature, they often do not respect the laws of thermodynamics when no secular approximation isperformed in their derivation. Here we introduce a Markovian master equation that isthermodynamically consistent and provides an accurate description whenever memory effects canbe neglected. The thermodynamic consistency is obtained through a rescaled Hamiltonian for thethermodynamic bookkeeping, exploiting the fact that a Markovian description implies a limitedresolution for heat. Our results enable a thermodynamically consistent description of a variety ofsystems where the secular approximation breaks down. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
New Journal of Physics
volume
23
article number
123013
pages
29 pages
publisher
IOP Publishing
external identifiers
  • scopus:85122493753
ISSN
1367-2630
DOI
10.1088/1367-2630/ac3b2f
project
KAW Project: Nanothermodynamics for optoelectronic semiconductor devices
language
English
LU publication?
yes
id
6649e0af-f7ac-4b9d-a42d-e5b03973a44e
date added to LUP
2022-01-18 10:40:01
date last changed
2023-11-09 03:11:03
@article{6649e0af-f7ac-4b9d-a42d-e5b03973a44e,
  abstract     = {{Markovian master equations provide a versatile tool for describing open quantum systems whenmemory effects of the environment may be neglected. As these equations are of an approximatenature, they often do not respect the laws of thermodynamics when no secular approximation isperformed in their derivation. Here we introduce a Markovian master equation that isthermodynamically consistent and provides an accurate description whenever memory effects canbe neglected. The thermodynamic consistency is obtained through a rescaled Hamiltonian for thethermodynamic bookkeeping, exploiting the fact that a Markovian description implies a limitedresolution for heat. Our results enable a thermodynamically consistent description of a variety ofsystems where the secular approximation breaks down.}},
  author       = {{Potts, Patrick and Sand Kalaee, Alex Arash and Wacker, Andreas}},
  issn         = {{1367-2630}},
  language     = {{eng}},
  month        = {{12}},
  publisher    = {{IOP Publishing}},
  series       = {{New Journal of Physics}},
  title        = {{A thermodynamically consistent Markovian master equation beyond the secular approximation}},
  url          = {{http://dx.doi.org/10.1088/1367-2630/ac3b2f}},
  doi          = {{10.1088/1367-2630/ac3b2f}},
  volume       = {{23}},
  year         = {{2021}},
}