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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2021-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ac3b2f |
| _version_ | 1827872620894224384 |
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| author | Patrick P Potts Alex Arash Sand Kalaee Andreas Wacker |
| author_facet | Patrick P Potts Alex Arash Sand Kalaee Andreas Wacker |
| author_sort | Patrick P Potts |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T16:26:23Z |
| format | Article |
| id | doaj.art-5e004816d31c4da1bc75014dfb546e78 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:26:23Z |
| publishDate | 2021-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-5e004816d31c4da1bc75014dfb546e782023-08-08T15:41:24ZengIOP PublishingNew Journal of Physics1367-26302021-01-01231212301310.1088/1367-2630/ac3b2fA thermodynamically consistent Markovian master equation beyond the secular approximationPatrick P Potts0https://orcid.org/0000-0001-6036-7291Alex Arash Sand Kalaee1https://orcid.org/0000-0003-2691-724XAndreas Wacker2https://orcid.org/0000-0003-1758-6274Physics Department and NanoLund, Lund University , Box 118, 22100 Lund, Sweden; Department of Physics, University of Basel , Klingelbergstrasse 82, 4056 Basel, SwitzerlandPhysics Department and NanoLund, Lund University , Box 118, 22100 Lund, SwedenPhysics Department and NanoLund, Lund University , Box 118, 22100 Lund, SwedenMarkovian 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.https://doi.org/10.1088/1367-2630/ac3b2fMarkovian master equationquantum thermodynamicsheat engine |
| spellingShingle | Patrick P Potts Alex Arash Sand Kalaee Andreas Wacker A thermodynamically consistent Markovian master equation beyond the secular approximation New Journal of Physics Markovian master equation quantum thermodynamics heat engine |
| title | A thermodynamically consistent Markovian master equation beyond the secular approximation |
| title_full | A thermodynamically consistent Markovian master equation beyond the secular approximation |
| title_fullStr | A thermodynamically consistent Markovian master equation beyond the secular approximation |
| title_full_unstemmed | A thermodynamically consistent Markovian master equation beyond the secular approximation |
| title_short | A thermodynamically consistent Markovian master equation beyond the secular approximation |
| title_sort | thermodynamically consistent markovian master equation beyond the secular approximation |
| topic | Markovian master equation quantum thermodynamics heat engine |
| url | https://doi.org/10.1088/1367-2630/ac3b2f |
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