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Entanglement and Squeezing in Dissipative Parametric Amplifier and Converter

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Journal of Russian Laser Research Aims and scope

Abstract

We study dynamical properties of two coupled bosonic modes within the frames of the parametric amplifier and parametric converter models, taking into account thermal reservoir effects. Assuming identical reservoirs for the modes, we solve the problem using the multiple scales method (MSM). Analytical solutions for non-symmetrized second-order momenta enable us to study the invariant squeezing coefficient and entanglement via the logarithmic negativity. For the parametric converter, we detect a decrease in the time interval, in which the modes remain entangled, and for fixed initial Gaussian state parameters. We also determine a critical temperature for detecting entanglement in the parametric converter – it is a one-half of the one obtained for time-independent coupling. Fixed the initial states, we obtain a stationary entanglement regime for the parametric amplifier that depends on the reservoir parameters only. In addition, we find a critical temperature above which no entanglement occurs for arbitrary initial Gaussian states.

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Authors and Affiliations

  1. Departamento de Física, Universidade Estadual de Ponta Grossa, Ponta Grossa, PR, Brazil

    C. E. K. Soares, L. S. de Lara & A. S. M. de Castro

  2. Institute of Physics and International Center for Physics, University of Brasilia, Brasilia, Federal District, Brazil

    V. V. Dodonov

Authors
  1. C. E. K. Soares
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  2. L. S. de Lara
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  3. A. S. M. de Castro
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  4. V. V. Dodonov
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Corresponding author

Correspondence to V. V. Dodonov.

Additional information

We dedicate this paper to the memory of Dr. Vladimir Andreev, who was interested in the areas related to our research – entanglement, quantum amplifiers, and quantum converters – and made important contributions [1–4].

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Soares, C.E.K., de Lara, L.S., de Castro, A.S.M. et al. Entanglement and Squeezing in Dissipative Parametric Amplifier and Converter. J Russ Laser Res 43, 28–38 (2022). https://doi.org/10.1007/s10946-022-10020-x

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  • DOI: https://doi.org/10.1007/s10946-022-10020-x

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