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 Tr. Mat. Inst. Steklova, 2019, Volume 306, Pages 158–169 (Mi tm3975)

Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser

S. V. Kozyrev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia

Abstract: The mechanism of vibronic amplification of transport of excitons has been discussed in connection with quantum photosynthesis. Vibrons (some modes of vibrations of molecules) have been observed experimentally in photosynthetic systems. In the present paper we consider models of vibronic amplification of quantum transfer in which the generation of vibrons as a coherent vibrational mode is described by an analog of the semiclassical laser theory. We study two models: a model of nonequilibrium three-level system with vibronic mode, and a variant of a model of lasing without inversion. We conjecture that the dark states discussed in connection with quantum photosynthesis might be related to the mechanism of vibronic “laser” without inversion, which amplifies the transfer of excitons. We prove that in the presence of a vibronic mode the transfer rate of excitons increases, and compute the dependence of the transfer rate on the parameters of the model.

 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/tm3975

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English version:
Proceedings of the Steklov Institute of Mathematics, 2019, 306, 145–156

Bibliographic databases:

UDC: 530.145
Revised: October 7, 2018
Accepted: May 1, 2019

Citation: S. V. Kozyrev, “Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser”, Mathematical physics and applications, Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov, Tr. Mat. Inst. Steklova, 306, Steklov Math. Inst. RAS, Moscow, 2019, 158–169; Proc. Steklov Inst. Math., 306 (2019), 145–156

Citation in format AMSBIB
\Bibitem{Koz19} \by S.~V.~Kozyrev \paper Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser \inbook Mathematical physics and applications \bookinfo Collected papers. In commemoration of the 95th anniversary of Academician Vasilii Sergeevich Vladimirov \serial Tr. Mat. Inst. Steklova \yr 2019 \vol 306 \pages 158--169 \publ Steklov Math. Inst. RAS \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3975} \crossref{https://doi.org/10.4213/tm3975} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=4040773} \transl \jour Proc. Steklov Inst. Math. \yr 2019 \vol 306 \pages 145--156 \crossref{https://doi.org/10.1134/S0081543819050146} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85077379456} 

• http://mi.mathnet.ru/eng/tm3975
• https://doi.org/10.4213/tm3975
• http://mi.mathnet.ru/eng/tm/v306/p158

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