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

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.


DOI: https://doi.org/10.1134/S0371968518020115

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

Bibliographic databases:

Document Type: Article
UDC: 536.93
Received: September 4, 2017

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

Citation in format AMSBIB
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\serial Tr. Mat. Inst. Steklova
\yr 2018
\vol 301
\pages 144--154
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://doi.org/10.1134/S0371968518020115
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