dorsal/arxiv
View SchemaDeformed quantum harmonic oscillator with diffusion and dissipation
| Authors | A. Isar, W. Scheid |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703164 |
| URL | https://arxiv.org/abs/quant-ph/0703164 |
| DOI | 10.1016/S0378-4371(02)00775-6 |
| Journal | Physica A 310, 364 (2002) |
Abstract
A master equation for the deformed quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived in the microscopic model by using perturbation theory. The coefficients of the master equation and of equations of motion for observables depend on the deformation function. The steady state solution of the equation for the density matrix in the number representation is obtained and the equilibrium energy of the deformed harmonic oscillator is calculated in the approximation of small deformation.
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"abstract": "A master equation for the deformed quantum harmonic oscillator interacting\nwith a dissipative environment, in particular with a thermal bath, is derived\nin the microscopic model by using perturbation theory. The coefficients of the\nmaster equation and of equations of motion for observables depend on the\ndeformation function. The steady state solution of the equation for the density\nmatrix in the number representation is obtained and the equilibrium energy of\nthe deformed harmonic oscillator is calculated in the approximation of small\ndeformation.",
"arxiv_id": "quant-ph/0703164",
"authors": [
"A. Isar",
"W. Scheid"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0378-4371(02)00775-6",
"journal_ref": "Physica A 310, 364 (2002)",
"title": "Deformed quantum harmonic oscillator with diffusion and dissipation",
"url": "https://arxiv.org/abs/quant-ph/0703164"
},
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