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An oscillator with position-dependent mass exposed to a thermal bosonic bath

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  • Pourali, B.
  • Lari, B.
  • Hassanabadi, H.

Abstract

In this paper, we present the differential master equation (or Liouville–Von​ Neumann equation) for a harmonic oscillator with position-dependent mass (PDM) exposed to a thermal bosonic bath. Also, we obtain the density matrix of the system after time evolution. Using the density matrix, we consider the Von-Neumann entropy and Fisher Information (FI) as a function of temperature, time, and position. As a witness, we compare our results with an approximate relation for the lower bound of quantum Fisher information (QFI) which recently has been issued. Our work may be useful in quantum metrology.

Suggested Citation

  • Pourali, B. & Lari, B. & Hassanabadi, H., 2021. "An oscillator with position-dependent mass exposed to a thermal bosonic bath," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    • Handle: RePEc:eee:phsmap:v:584:y:2021:i:c:s0378437121006476
    DOI: 10.1016/j.physa.2021.126374
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    References listed on IDEAS

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    1. Isar, A. & Sandulescu, A. & Scheid, W., 2003. "Lindblad master equation for the damped harmonic oscillator with deformed dissipation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 233-246.
    2. Borges, Ernesto P., 2004. "A possible deformed algebra and calculus inspired in nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 340(1), pages 95-101.
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