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 Trudy Mat. Inst. Steklova, 2019, Volume 306, Pages 258–272 (Mi tm4021)

Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes

A. E. Teretenkovab

a Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
b Faculty of Physics, Moscow State University, Moscow, 119991 Russia

Abstract: The pseudomode approach is discussed, with emphasis on the Gorini–Kossakowski–Sudarshan–Lindblad form of this approach. The connection of the pseudomode approach with solutions of the Friedrichs model and the Jaynes–Cummings model with dissipation at zero temperature is shown. The obtained results are applied to the description of non-Markovian phenomena in the Fenna–Matthews–Olson complexes. Estimations based on experimental data are presented. A generalization of the pseudomode approach to the finite-temperature case with the use of the deformation technique is discussed.

 Funding Agency Grant Number Russian Science Foundation 17-71-20154 This work is supported by the Russian Science Foundation under grant 17-71-20154.

DOI: https://doi.org/10.4213/tm4021

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 306, 242–256

Bibliographic databases:

UDC: 517.958
Received: September 15, 2018
Revised: September 25, 2018
Accepted: June 4, 2019

Citation: A. E. Teretenkov, “Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Trudy Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 258–272; Proc. Steklov Inst. Math., 306 (2019), 242–256

Citation in format AMSBIB
\Bibitem{Ter19} \by A.~E.~Teretenkov \paper Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes \inbook Mathematical physics and applications \bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov \serial Trudy Mat. Inst. Steklova \yr 2019 \vol 306 \pages 258--272 \publ Steklov Math. Inst. RAS \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm4021} \crossref{https://doi.org/10.4213/tm4021} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=4040779} \elib{https://elibrary.ru/item.asp?id=43206337} \transl \jour Proc. Steklov Inst. Math. \yr 2019 \vol 306 \pages 242--256 \crossref{https://doi.org/10.1134/S0081543819050201} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000511670100020} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073594746} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. Teretenkov A.E., “Non-Markovian Evolution of Multi-Level System Interacting With Several Reservoirs. Exact and Approximate”, Lobachevskii J. Math., 40:10, SI (2019), 1587–1605
2. Trushechkin A.S., “Higher-Order Corrections to the Redfield Equation With Respect to the System-Bath Coupling Based on the Hierarchical Equations of Motion”, Lobachevskii J. Math., 40:10, SI (2019), 1606–1618
3. Yu. A. Nosal, A. E. Teretenkov, “Exact Dynamics of Moments and Correlation Functions for GKSL Fermionic Equations of Poisson Type”, Math. Notes, 108:6 (2020), 911–915
4. A. E. Teretenkov, “Exact non-Markovian evolution with several reservoirs”, Phys. Part. Nuclei, 51:4 (2020), 479–484
5. A. E. Teretenkov, “Integral Representation of Finite Temperature Non-Markovian Evolution of Some Systems in Rotating Wave Approximation”, Lobachevskii J. Math., 41:12, SI (2020), 2397–2404
6. A. E. Teretenkov, “An Example of Explicit Generators of Local and Nonlocal Quantum Master Equations”, Proc. Steklov Inst. Math., 313 (2021), 236–245
7. A. S. Trushechkin, “Derivation of the Redfield Quantum Master Equation and Corrections to It by the Bogoliubov Method”, Proc. Steklov Inst. Math., 313 (2021), 246–257
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