Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force

The evolution generated by general dissipative Hamiltonians is analyzed when a stochastic force is included. Using a mapping technique, the equations of motion for the observables of interest can be given easily. A general dissipativity condition is extracted, whose fulfilment guarantees that therma...

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Autor principal: Hernández, Ester Susana
Publicado: 1983
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v119_n1-2_p159_Hernandez
http://hdl.handle.net/20.500.12110/paper_03784371_v119_n1-2_p159_Hernandez
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spelling paper:paper_03784371_v119_n1-2_p159_Hernandez2023-06-08T15:39:46Z Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force Hernández, Ester Susana The evolution generated by general dissipative Hamiltonians is analyzed when a stochastic force is included. Using a mapping technique, the equations of motion for the observables of interest can be given easily. A general dissipativity condition is extracted, whose fulfilment guarantees that thermal equilibrium is reached as the final stage of the evolution. Several existing frictional Hamiltonians are examined and it is seen that the correlation of the fluctuating force is essential to the destruction of a constant of motion inherent to pure quantal behaviour. © 1983. Fil:Hernández, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1983 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v119_n1-2_p159_Hernandez http://hdl.handle.net/20.500.12110/paper_03784371_v119_n1-2_p159_Hernandez
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The evolution generated by general dissipative Hamiltonians is analyzed when a stochastic force is included. Using a mapping technique, the equations of motion for the observables of interest can be given easily. A general dissipativity condition is extracted, whose fulfilment guarantees that thermal equilibrium is reached as the final stage of the evolution. Several existing frictional Hamiltonians are examined and it is seen that the correlation of the fluctuating force is essential to the destruction of a constant of motion inherent to pure quantal behaviour. © 1983.
author Hernández, Ester Susana
spellingShingle Hernández, Ester Susana
Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force
author_facet Hernández, Ester Susana
author_sort Hernández, Ester Susana
title Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force
title_short Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force
title_full Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force
title_fullStr Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force
title_full_unstemmed Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force
title_sort parametrization of open systems with effective quadratic hamiltonians plus stochastic force
publishDate 1983
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v119_n1-2_p159_Hernandez
http://hdl.handle.net/20.500.12110/paper_03784371_v119_n1-2_p159_Hernandez
work_keys_str_mv AT hernandezestersusana parametrizationofopensystemswitheffectivequadratichamiltoniansplusstochasticforce
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