Journal article

Publication year: 1993

Pages: 3887-3900

Journal: Journal of Mathematical Physics

Volume number: 34

Issue number: 9

ISSN: 0022-2488

DOI Link: https://doi.org/10.1063/1.530013

Publisher: American Institute of Physics

Abstract: 
The time evolution of the density matrix of the damped harmonic oscillator is studied within the Lindblad theory for open quantum systems. The density matrix is represented via a generating function, which is obtained by solving a time-dependent linear partial differential equation derived from the master equation of the damped harmonic oscillator. Illustrative examples for specific initial conditions of the density matrix are provided. It is also shown that various master equations for the damped quantum oscillator, for damped collective modes in deep inelastic collisions of heavy ions and in different models of quantum optics are particular cases of the Lindblad equation and that only some of these equations satisfy the quantum mechanical constraints on the diffusion coefficients.

Harvard Citation style: ISAR, A., SANDULESCU, A. and SCHEID, W. (1993) DENSITY-MATRIX FOR THE DAMPED HARMONIC-OSCILLATOR WITHIN THE LINDBLAD THEORY, Journal of Mathematical Physics, 34(9), pp. 3887-3900. https://doi.org/10.1063/1.530013

APA Citation style: ISAR, A., SANDULESCU, A., & SCHEID, W. (1993). DENSITY-MATRIX FOR THE DAMPED HARMONIC-OSCILLATOR WITHIN THE LINDBLAD THEORY. Journal of Mathematical Physics. 34(9), 3887-3900. https://doi.org/10.1063/1.530013