Journal article

Publication year: 1991

Pages: 2128-2134

Journal: Journal of Mathematical Physics

Volume number: 32

Issue number: 8

ISSN: 0022-2488

eISSN: 1089-7658

DOI Link: https://doi.org/10.1063/1.529185

Publisher: American Institute of Physics

Abstract: 
The Lindblad master equation for the damped quantum harmonic oscillator is transformed into Fokker-Planck equations for quasiprobability distributions. A comparative study is made for the Glauber P representation, the antinormal-ordering Q representation and the Wigner W representation. It will be proven that the variances for the damped harmonic oscillator found with these representations are the same. By solving the Fokker-Planck equations in the steady state, it will be shown that the quasiprobability distributions are two-dimensional Gaussians with widths determined by the diffusion coefficients.

Harvard Citation style: ISAR, A., SCHEID, W. and SANDULESCU, A. (1991) QUASIPROBABILITY DISTRIBUTIONS FOR OPEN QUANTUM-SYSTEMS WITHIN THE LINDBLAD THEORY, Journal of Mathematical Physics, 32(8), pp. 2128-2134. https://doi.org/10.1063/1.529185

APA Citation style: ISAR, A., SCHEID, W., & SANDULESCU, A. (1991). QUASIPROBABILITY DISTRIBUTIONS FOR OPEN QUANTUM-SYSTEMS WITHIN THE LINDBLAD THEORY. Journal of Mathematical Physics. 32(8), 2128-2134. https://doi.org/10.1063/1.529185