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A soluble random-matrix model for relaxation in quantum systems

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Abstract

We study the relaxation of a degenerate two-level system interacting with a heat bath, assuming a random-matrix model for the system-bath interaction. For times larger than the duration of a collision and smaller than the Poincaré recurrence time, the survival probability of still finding the system at timet in the same state in which it was prepared att=0 is exactly calculated.

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Authors and Affiliations

  1. Institute de Fisica, Universidad Nacional Autónoma de México, 01000, México D.F., Mexico

    Pier A. Mello (Fellow of the Sistema Nacional de Investigadores)

  2. Departamento de Ciencias Básicas, Universidad Autónoma Metropolitana-Azcapotzalco, 02200, México D.F., México

    Pedro Pereyra

  3. Department of Physics, Indian Institute of Science, 560012, Bangalore, India

    Narendra Kumar

  4. Departamento de Fisica, UAM-Iztapalapa, México

    Pier A. Mello (Fellow of the Sistema Nacional de Investigadores)

Authors
  1. Pier A. Mello
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  2. Pedro Pereyra
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  3. Narendra Kumar
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Mello, P.A., Pereyra, P. & Kumar, N. A soluble random-matrix model for relaxation in quantum systems. J Stat Phys 51, 77–94 (1988). https://doi.org/10.1007/BF01015321

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  • DOI: https://doi.org/10.1007/BF01015321

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