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Quantum Transport in Degenerate Systems

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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.

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Authors and Affiliations

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

    S. V. Kozyrev

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  1. S. V. Kozyrev
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Correspondence to S. V. Kozyrev.

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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2018, Vol. 301, pp. 144–154.

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Kozyrev, S.V. Quantum Transport in Degenerate Systems. Proc. Steklov Inst. Math. 301, 134–143 (2018). https://doi.org/10.1134/S0081543818040119

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