Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Hong-Bin, Lambert, Neill, Cheng, Yuan-Chung, Chen, Yueh-Nan, Nori, Franco
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2015
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
_version_ 1782384125048520704
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
work_keys_str_mv AT chenhongbin usingnonmarkovianmeasurestoevaluatequantummasterequationsforphotosynthesis
AT lambertneill usingnonmarkovianmeasurestoevaluatequantummasterequationsforphotosynthesis
AT chengyuanchung usingnonmarkovianmeasurestoevaluatequantummasterequationsforphotosynthesis
AT chenyuehnan usingnonmarkovianmeasurestoevaluatequantummasterequationsforphotosynthesis
AT norifranco usingnonmarkovianmeasurestoevaluatequantummasterequationsforphotosynthesis