Artículo
Despósito, M.A.; Hernández, E.S. "Relaxation spectrum of quantum harmonic motion in the presence of nonlinear dissipative-diffusive couplings" (1992) Physical Review A. 46(12):7510-7518
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Abstract:
We analyze the behavior of a damped quantum harmonic oscillator immersed in a heat bath with a nonlinear coupling. For this purpose, we construct a generalized master equation (GME) for the reduced density of the oscillator. We specialize the results for a quadratic coupling in the presence of a bosonic reservoir and an Ohmic dissipation model, analyzing the evolution equation for the mean value of the oscillator coordinate. In the asymptotic case we obtain a gain-loss master equation whose transition rates are polynomials in the number of quanta. No explicit solutions other than the equilibrium one can be written, since the standard methods do not apply. The equilibrium solution is investigated and the eigenvalues of the corresponding spectral problem are numerically computed to study the effect of the nonlinearity on the evolution of the system. By means of the Wigner transformation of the GME, we extract a third-order partial derivative equation that represents the semiclassical evolution of the damped oscillator. In the classical limit this is a nonlinear Fokker-Planck equation. © 1992 The American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Relaxation spectrum of quantum harmonic motion in the presence of nonlinear dissipative-diffusive couplings |
| Autor: | Despósito, M.A.; Hernández, E.S. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina |
| Año: | 1992 |
| Volumen: | 46 |
| Número: | 12 |
| Página de inicio: | 7510 |
| Página de fin: | 7518 |
| DOI: | http://dx.doi.org/10.1103/PhysRevA.46.7510 |
| Título revista: | Physical Review A |
| ISSN: | 10502947 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v46_n12_p7510_Desposito |
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Citas:
---------- APA ----------
Despósito, M.A. & Hernández, E.S. (1992) . Relaxation spectrum of quantum harmonic motion in the presence of nonlinear dissipative-diffusive couplings. Physical Review A, 46(12), 7510-7518.http://dx.doi.org/10.1103/PhysRevA.46.7510
---------- CHICAGO ----------
Despósito, M.A., Hernández, E.S. "Relaxation spectrum of quantum harmonic motion in the presence of nonlinear dissipative-diffusive couplings" . Physical Review A 46, no. 12 (1992) : 7510-7518.http://dx.doi.org/10.1103/PhysRevA.46.7510
---------- MLA ----------
Despósito, M.A., Hernández, E.S. "Relaxation spectrum of quantum harmonic motion in the presence of nonlinear dissipative-diffusive couplings" . Physical Review A, vol. 46, no. 12, 1992, pp. 7510-7518.http://dx.doi.org/10.1103/PhysRevA.46.7510
---------- VANCOUVER ----------
Despósito, M.A., Hernández, E.S. Relaxation spectrum of quantum harmonic motion in the presence of nonlinear dissipative-diffusive couplings. 1992;46(12):7510-7518.http://dx.doi.org/10.1103/PhysRevA.46.7510
