Master Langevin equations: Origin of asymptotic diffusion
We extend the master-equation treatment of dynamical evolution of a system-plus-reservoir configuration including the propagation of initial correlations as a noise source. Specializing into the quantum harmonic oscillator coupled to a fermionic heat bath, we develop a model for the diffusion matrix...
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todo:paper_1063651X_v47_n1_p300_Dorso2023-10-03T16:01:12Z Master Langevin equations: Origin of asymptotic diffusion Dorso, C.O. Hernndez, E.S. Vega, J.L. We extend the master-equation treatment of dynamical evolution of a system-plus-reservoir configuration including the propagation of initial correlations as a noise source. Specializing into the quantum harmonic oscillator coupled to a fermionic heat bath, we develop a model for the diffusion matrix in the space of diagonal density operators. It can be shown that mean values of observables undergo Langevin-like motion and, in particular, that the mean value and dispersion of the oscillator quanta approach the canonical equilibrium values. A final interpretation of the characteristics and role of the noise source is given. © 1993 The American Physical Society. Fil:Dorso, C.O. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Vega, J.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_1063651X_v47_n1_p300_Dorso |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
description |
We extend the master-equation treatment of dynamical evolution of a system-plus-reservoir configuration including the propagation of initial correlations as a noise source. Specializing into the quantum harmonic oscillator coupled to a fermionic heat bath, we develop a model for the diffusion matrix in the space of diagonal density operators. It can be shown that mean values of observables undergo Langevin-like motion and, in particular, that the mean value and dispersion of the oscillator quanta approach the canonical equilibrium values. A final interpretation of the characteristics and role of the noise source is given. © 1993 The American Physical Society. |
format |
JOUR |
author |
Dorso, C.O. Hernndez, E.S. Vega, J.L. |
spellingShingle |
Dorso, C.O. Hernndez, E.S. Vega, J.L. Master Langevin equations: Origin of asymptotic diffusion |
author_facet |
Dorso, C.O. Hernndez, E.S. Vega, J.L. |
author_sort |
Dorso, C.O. |
title |
Master Langevin equations: Origin of asymptotic diffusion |
title_short |
Master Langevin equations: Origin of asymptotic diffusion |
title_full |
Master Langevin equations: Origin of asymptotic diffusion |
title_fullStr |
Master Langevin equations: Origin of asymptotic diffusion |
title_full_unstemmed |
Master Langevin equations: Origin of asymptotic diffusion |
title_sort |
master langevin equations: origin of asymptotic diffusion |
url |
http://hdl.handle.net/20.500.12110/paper_1063651X_v47_n1_p300_Dorso |
work_keys_str_mv |
AT dorsoco masterlangevinequationsoriginofasymptoticdiffusion AT hernndezes masterlangevinequationsoriginofasymptoticdiffusion AT vegajl masterlangevinequationsoriginofasymptoticdiffusion |
_version_ |
1807319933084762112 |