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Translational symmetry and microscopic preparation in oscillator models of quantum dissipation

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  • Sánchez Cañizares, J.
  • Sols, F.

Abstract

It is shown that models of quantum dissipation based on interactions which are linear both in the bath and in the particle position coordinate cannot be strictly invariant under translations, even if counterterms are included. This lack of symmetry manifests itself in an unphysical dependence of the long time dynamics on the choice of initial conditions for the particle-bath interaction. By properly expanding a Fröhlich type Hamiltonian, a simple model of homogeneous dissipation is developed that is insensitive to the chosen microscopic preparation.

Suggested Citation

  • Sánchez Cañizares, J. & Sols, F., 1994. "Translational symmetry and microscopic preparation in oscillator models of quantum dissipation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 212(1), pages 181-193.
    • Handle: RePEc:eee:phsmap:v:212:y:1994:i:1:p:181-193
    DOI: 10.1016/0378-4371(94)90146-5
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    1. Caldeira, Gregory A., 1990. "Public Opinion and the Supreme Court. By Thomas R. Marshall. Boston: Unwin Hyman, 1989. 214p. $39.95 cloth, $14.95 paper," American Political Science Review, Cambridge University Press, vol. 84(2), pages 663-664, June.
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    Cited by:

    1. Ghosh, Aritra & Kaur, Jasleen & Bandyopadhyay, Malay, 2024. "Energetics of the dissipative quantum oscillator," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    2. Kaur, Jasleen & Ghosh, Aritra & Bandyopadhyay, Malay, 2022. "Partition of free energy for a Brownian quantum oscillator: Effect of dissipation and magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 599(C).

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