Journal article

Publication year: 2003

Pages: 233-246

Journal: Physica A: Statistical Mechanics and its Applications

Volume number: 322

Issue number: 1-4

ISSN: 0378-4371

Open access status: Green

DOI Link: https://doi.org/10.1016/S0378-4371(02)01828-9

Publisher: Elsevier

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. (C) 2002 Elsevier Science B.V. All rights reserved.

Harvard Citation style: Isar, A., Sandulescu, A. and Scheid, W. (2003) Lindblad master equation for the damped harmonic oscillator with deformed dissipation, Physica A: Statistical Mechanics and its Applications, 322(1-4), pp. 233-246. https://doi.org/10.1016/S0378-4371(02)01828-9

APA Citation style: 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. 322(1-4), 233-246. https://doi.org/10.1016/S0378-4371(02)01828-9