Lindblad master equation for the damped harmonic oscillator with deformed dissipation

A. Isar, A. Sandulescu and W. Scheid

Physica A: Statistical Mechanics and its Applications, 2003, vol. 322, issue C, 233-246

Abstract: In the framework of the Lindblad theory for open quantum systems, a master equation for the quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived for the case when the interaction is based on deformed algebra. The equations of motion for observables strongly depend on the deformation function. The expectation values of the number operator and squared number operator are calculated in the limit of a small deformation parameter for the case of zero temperature of the thermal bath. The steady state solution of the equation for the density matrix in the number representation is obtained and its independence of the deformation is shown.

Keywords: Lindblad master equation; Deformed quantum oscillators (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:322:y:2003:i:c:p:233-246

DOI: 10.1016/S0378-4371(02)01828-9

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