Low-temperature thermodynamics with quantum coherence
Thermal operations are an operational model of non-equilibrium quantum thermodynamics. In the absence of coherence between energy levels, exact state transition conditions under thermal operations are known in terms of a mathematical relation called thermo-majorization. But incorporating coherence h...
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Nature Pub. Group
2015
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4506506/ |
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pubmed-45065062015-07-21 Low-temperature thermodynamics with quantum coherence Narasimhachar, Varun Gour, Gilad Article Thermal operations are an operational model of non-equilibrium quantum thermodynamics. In the absence of coherence between energy levels, exact state transition conditions under thermal operations are known in terms of a mathematical relation called thermo-majorization. But incorporating coherence has turned out to be challenging, even under the relatively tractable model wherein all Gibbs state-preserving quantum channels are included. Here we find a mathematical generalization of thermal operations at low temperatures, ‘cooling maps', for which we derive the necessary and sufficient state transition condition. Cooling maps that saturate recently discovered bounds on coherence transfer are realizable as thermal operations, motivating us to conjecture that all cooling maps are thermal operations. Cooling maps, though a less-conservative generalization to thermal operations, are more tractable than Gibbs-preserving operations, suggesting that cooling map-like models at general temperatures could be of use in gaining insight about thermal operations. Nature Pub. Group 2015-07-03 /pmc/articles/PMC4506506/ /pubmed/26138621 http://dx.doi.org/10.1038/ncomms8689 Text en Copyright © 2015, Nature Publishing Group, a division of Macmillan Publishers Limited. All Rights Reserved. http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
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Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Narasimhachar, Varun Gour, Gilad |
| spellingShingle |
Narasimhachar, Varun Gour, Gilad Low-temperature thermodynamics with quantum coherence |
| author_facet |
Narasimhachar, Varun Gour, Gilad |
| author_sort |
Narasimhachar, Varun |
| title |
Low-temperature thermodynamics with quantum coherence |
| title_short |
Low-temperature thermodynamics with quantum coherence |
| title_full |
Low-temperature thermodynamics with quantum coherence |
| title_fullStr |
Low-temperature thermodynamics with quantum coherence |
| title_full_unstemmed |
Low-temperature thermodynamics with quantum coherence |
| title_sort |
low-temperature thermodynamics with quantum coherence |
| description |
Thermal operations are an operational model of non-equilibrium quantum thermodynamics. In the absence of coherence between energy levels, exact state transition conditions under thermal operations are known in terms of a mathematical relation called thermo-majorization. But incorporating coherence has turned out to be challenging, even under the relatively tractable model wherein all Gibbs state-preserving quantum channels are included. Here we find a mathematical generalization of thermal operations at low temperatures, ‘cooling maps', for which we derive the necessary and sufficient state transition condition. Cooling maps that saturate recently discovered bounds on coherence transfer are realizable as thermal operations, motivating us to conjecture that all cooling maps are thermal operations. Cooling maps, though a less-conservative generalization to thermal operations, are more tractable than Gibbs-preserving operations, suggesting that cooling map-like models at general temperatures could be of use in gaining insight about thermal operations. |
| publisher |
Nature Pub. Group |
| publishDate |
2015 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4506506/ |
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1613249212494905344 |