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Trudy Mat. Inst. Steklova, 2018, Volume 301, Pages 144–154 (Mi tm3872)  

This article is cited in 3 scientific papers (total in 3 papers)

Quantum transport in degenerate systems

S. V. Kozyrev

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

Abstract: Transport in nonequilibrium degenerate quantum systems is investigated. The transfer rate depends on the parameters of the system. In this paper we investigate the dependence of the flow (transfer rate) on the angle between “bright” vectors (which define the interaction of the system with the environment). We show that in some approximation for the system under investigation the flow is proportional to the cosine squared of the angle between the “bright” vectors. Earlier the author has shown that in this degenerate quantum system excitation of nondecaying quantum “dark” states is possible; moreover, the effectiveness of this process is proportional to the sine squared of the angle between the “bright” vectors (this phenomenon was discussed as a possible model of excitation of quantum coherence in quantum photosynthesis). Thus quantum transport and excitation of dark states are competing processes; “dark” states can be considered as a result of leakage of quantum states in a quantum thermodynamic machine which performs the quantum transport.

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


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English version:
Proceedings of the Steklov Institute of Mathematics, 2018, 301, 134–143

Bibliographic databases:

UDC: 536.93
Received: September 4, 2017

Citation: S. V. Kozyrev, “Quantum transport in degenerate systems”, Complex analysis, mathematical physics, and applications, Collected papers, Trudy Mat. Inst. Steklova, 301, MAIK Nauka/Interperiodica, Moscow, 2018, 144–154; Proc. Steklov Inst. Math., 301 (2018), 134–143

Citation in format AMSBIB
\by S.~V.~Kozyrev
\paper Quantum transport in degenerate systems
\inbook Complex analysis, mathematical physics, and applications
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2018
\vol 301
\pages 144--154
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\jour Proc. Steklov Inst. Math.
\yr 2018
\vol 301
\pages 134--143

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    This publication is cited in the following articles:
    1. S. V. Kozyrev, “Model of Vibrons in Quantum Photosynthesis as an Analog of a Model of Laser”, Proc. Steklov Inst. Math., 306 (2019), 145–156  mathnet  crossref  crossref  mathscinet  isi  elib
    2. A. E. Teretenkov, “Pseudomode Approach and Vibronic Non-Markovian Phenomena in Light-Harvesting Complexes”, Proc. Steklov Inst. Math., 306 (2019), 242–256  mathnet  crossref  crossref  mathscinet  isi  elib
    3. A. Trushechkin, “Calculation of coherences in forster and modified redfield theories of excitation energy transfer”, J. Chem. Phys., 151:7 (2019), 074101  crossref  isi
  • Труды Математического института им. В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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