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Time Evolution of Quantum Coherence of Two Bosonic Modes in Noisy Environments

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Journal of Russian Laser Research Aims and scope

Abstract

Using the axiomatic formalism based on completely positive quantum dynamical semigroups, we describe the dynamics of quantum coherence of an open system consisting of two bosonic modes, each one embedded in a noisy environment. The influence of the environment is discussed in the covariance matrix formalism for initial squeezed thermal states and for an asymptotic covariance matrix determined only by the environment. The quantum coherence is quantified by means of the relative entropy of coherence. We show that the evolution of the quantum coherence strongly depends on the initial state of the system (squeezing parameter), the parameters characterizing the environments (squeezing parameters, squeezing phases, and temperatures), and the overall damping rate. Depending on the value of the parameters, the asymptotic quantum coherence can have nonzero values.

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Authors and Affiliations

  1. National Institute of Laser, Plasma and Radiation Physics, PO Box MG 36, RO-077125, Magurele, Bucharest, Romania

    Andreea Croitoru

  2. Faculty of Physics, University of Bucharest, Bucharest, Romania

    Andreea Croitoru

  3. National Institute of Physics and Nuclear Engineering, PO Box MG 6, RO-077125, Magurele, Bucharest, Romania

    Aurelian Isar

Authors
  1. Andreea Croitoru
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  2. Aurelian Isar
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Correspondence to Aurelian Isar.

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We pay a pious tribute to Dr. Vladimir Andreevich Andreev, the outstanding scientist and friend and dedicate this article to his memory.

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Croitoru, A., Isar, A. Time Evolution of Quantum Coherence of Two Bosonic Modes in Noisy Environments. J Russ Laser Res 43, 39–47 (2022). https://doi.org/10.1007/s10946-022-10021-w

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  • DOI: https://doi.org/10.1007/s10946-022-10021-w

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