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Wehrl information and mixedness of a Cooper-pair box coupled to a cavity in a thermal reservoir

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Abstract

An analytical description of a Cooper-pair box coupled to a dissipative cavity in a thermal bath is derived. The Wehrl entropy and the Wehrl density are used to investigate the dynamics of the mixedness and the information loss of the phase space for the state of the Cooper-pair box. We show that the Wehrl entropy and density are very sensitive not only to the damping rate and the number of thermal photons but also to the intensity of the coherent state and the qubit distribution angle of the initial state. The information of the phase space and the coherence are quickly lost due to the thermal photons.

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Authors and Affiliations

  1. College of Science, Prince Sattam Bin Abdulaziz University, Al-Aflaj, Saudi Arabia, and Faculty of Science, Assiut University, Assiut, Egypt

    Abdel-Baset A. Mohamed

  2. Department of Physics, McGill University, Montreal, H3A 2T8, Canada

    Hichem Eleuch

  3. Department of Physics, Université de Montréal, Montreal, QC, H3T 1J4, Canada

    Hichem Eleuch

Authors
  1. Abdel-Baset A. Mohamed
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  2. Hichem Eleuch
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Correspondence to Abdel-Baset A. Mohamed.

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Mohamed, AB.A., Eleuch, H. Wehrl information and mixedness of a Cooper-pair box coupled to a cavity in a thermal reservoir. Journal of the Korean Physical Society 68, 513–519 (2016). https://doi.org/10.3938/jkps.68.513

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  • DOI: https://doi.org/10.3938/jkps.68.513

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