A thermodynamically consistent Markovian master equation beyond the secular approximation

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of thermodynamics when no secular approximation is performed in their d...

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Published inNew journal of physics Vol. 23; no. 12; pp. 123013 - 123041
Main Authors Potts, Patrick P, Kalaee, Alex Arash Sand, Wacker, Andreas
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.12.2021
Subjects
Approximation
Condensed Matter Physics
Condensed Matter Physics (including Material Physics, Nano Physics)
Den kondenserade materiens fysik
Den kondenserade materiens fysik (Här ingår: Materialfysik, nanofysik)
Fysik
heat engine
Markovian master equation
Mathematical analysis
Natural Sciences
Naturvetenskap
Physical Sciences
Physics
quantum thermodynamics
Online AccessGet full text
ISSN1367-2630
1367-2630
DOI10.1088/1367-2630/ac3b2f

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Abstract Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of thermodynamics when no secular approximation is performed in their derivation. Here we introduce a Markovian master equation that is thermodynamically consistent and provides an accurate description whenever memory effects can be neglected. The thermodynamic consistency is obtained through a rescaled Hamiltonian for the thermodynamic bookkeeping, exploiting the fact that a Markovian description implies a limited resolution for heat. Our results enable a thermodynamically consistent description of a variety of systems where the secular approximation breaks down.
AbstractList 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.
Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of thermodynamics when no secular approximation is performed in their derivation. Here we introduce a Markovian master equation that is thermodynamically consistent and provides an accurate description whenever memory effects can be neglected. The thermodynamic consistency is obtained through a rescaled Hamiltonian for the thermodynamic bookkeeping, exploiting the fact that a Markovian description implies a limited resolution for heat. Our results enable a thermodynamically consistent description of a variety of systems where the secular approximation breaks down.
Author Kalaee, Alex Arash Sand
Potts, Patrick P
Wacker, Andreas
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  surname: Wacker
  fullname: Wacker, Andreas
  organization: Lund University Physics Department and NanoLund, Box 118, 22100 Lund, Sweden
BackLink https://lup.lub.lu.se/record/6649e0af-f7ac-4b9d-a42d-e5b03973a44e$$DView record from Swedish Publication Index
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Snippet Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these...
Markovian master equations provide a versatile tool for describing open quantum systems whenmemory effects of the environment may be neglected. As these...
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SubjectTerms Approximation
Condensed Matter Physics
Condensed Matter Physics (including Material Physics, Nano Physics)
Den kondenserade materiens fysik
Den kondenserade materiens fysik (Här ingår: Materialfysik, nanofysik)
Fysik
heat engine
Markovian master equation
Mathematical analysis
Natural Sciences
Naturvetenskap
Physical Sciences
Physics
quantum thermodynamics
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Title A thermodynamically consistent Markovian master equation beyond the secular approximation
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