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Using non-Markovian measures to evaluate quantum master equations for photosynthesis
When dealing with system-reservoir interactions in an open quantum system, such as a photosynthetic light-harvesting complex, approximations are usually made to obtain the dynamics of the system. One question immediately arises: how good are these approximations, and in what ways can we evaluate the...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group
2015
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4523852/ https://www.ncbi.nlm.nih.gov/pubmed/26238479 http://dx.doi.org/10.1038/srep12753 |
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author | Chen, Hong-Bin Lambert, Neill Cheng, Yuan-Chung Chen, Yueh-Nan Nori, Franco |
author_facet | Chen, Hong-Bin Lambert, Neill Cheng, Yuan-Chung Chen, Yueh-Nan Nori, Franco |
author_sort | Chen, Hong-Bin |
collection | PubMed |
description | When dealing with system-reservoir interactions in an open quantum system, such as a photosynthetic light-harvesting complex, approximations are usually made to obtain the dynamics of the system. One question immediately arises: how good are these approximations, and in what ways can we evaluate them? Here, we propose to use entanglement and a measure of non-Markovianity as benchmarks for the deviation of approximate methods from exact results. We apply two frequently-used perturbative but non-Markovian approximations to a photosynthetic dimer model and compare their results with that of the numerically-exact hierarchy equation of motion (HEOM). This enables us to explore both entanglement and non-Markovianity measures as means to reveal how the approximations either overestimate or underestimate memory effects and quantum coherence. In addition, we show that both the approximate and exact results suggest that non-Markonivity can, counter-intuitively, increase with temperature, and with the coupling to the environment. |
format | Online Article Text |
id | pubmed-4523852 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2015 |
publisher | Nature Publishing Group |
record_format | MEDLINE/PubMed |
spelling | pubmed-45238522015-08-05 Using non-Markovian measures to evaluate quantum master equations for photosynthesis Chen, Hong-Bin Lambert, Neill Cheng, Yuan-Chung Chen, Yueh-Nan Nori, Franco Sci Rep Article When dealing with system-reservoir interactions in an open quantum system, such as a photosynthetic light-harvesting complex, approximations are usually made to obtain the dynamics of the system. One question immediately arises: how good are these approximations, and in what ways can we evaluate them? Here, we propose to use entanglement and a measure of non-Markovianity as benchmarks for the deviation of approximate methods from exact results. We apply two frequently-used perturbative but non-Markovian approximations to a photosynthetic dimer model and compare their results with that of the numerically-exact hierarchy equation of motion (HEOM). This enables us to explore both entanglement and non-Markovianity measures as means to reveal how the approximations either overestimate or underestimate memory effects and quantum coherence. In addition, we show that both the approximate and exact results suggest that non-Markonivity can, counter-intuitively, increase with temperature, and with the coupling to the environment. Nature Publishing Group 2015-08-04 /pmc/articles/PMC4523852/ /pubmed/26238479 http://dx.doi.org/10.1038/srep12753 Text en Copyright © 2015, Macmillan Publishers Limited 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/ |
spellingShingle | Article Chen, Hong-Bin Lambert, Neill Cheng, Yuan-Chung Chen, Yueh-Nan Nori, Franco Using non-Markovian measures to evaluate quantum master equations for photosynthesis |
title | Using non-Markovian measures to evaluate quantum master equations for photosynthesis |
title_full | Using non-Markovian measures to evaluate quantum master equations for photosynthesis |
title_fullStr | Using non-Markovian measures to evaluate quantum master equations for photosynthesis |
title_full_unstemmed | Using non-Markovian measures to evaluate quantum master equations for photosynthesis |
title_short | Using non-Markovian measures to evaluate quantum master equations for photosynthesis |
title_sort | using non-markovian measures to evaluate quantum master equations for photosynthesis |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4523852/ https://www.ncbi.nlm.nih.gov/pubmed/26238479 http://dx.doi.org/10.1038/srep12753 |
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