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

B. Pourali, B. Lari and H. Hassanabadi

Physica A: Statistical Mechanics and its Applications, 2021, vol. 584, issue C

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.

Keywords: Position-dependent mass; Differential master equation; Harmonic oscillator; Quantum Fisher information; Von-Neumann entropy; Open quantum system (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:584:y:2021:i:c:s0378437121006476

DOI: 10.1016/j.physa.2021.126374

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