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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03784371_v119_n1-2_p159_Hernandez |
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todo:paper_03784371_v119_n1-2_p159_Hernandez2023-10-03T15:32:23Z Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force Hernández, E.S. Mizrahi, S.S. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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. |
| format |
JOUR |
| author |
Hernández, E.S. Mizrahi, S.S. |
| spellingShingle |
Hernández, E.S. Mizrahi, S.S. Parametrization of open systems with effective quadratic Hamiltonians plus stochastic force |
| author_facet |
Hernández, E.S. Mizrahi, S.S. |
| author_sort |
Hernández, E.S. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_03784371_v119_n1-2_p159_Hernandez |
| work_keys_str_mv |
AT hernandezes parametrizationofopensystemswitheffectivequadratichamiltoniansplusstochasticforce AT mizrahiss parametrizationofopensystemswitheffectivequadratichamiltoniansplusstochasticforce |
| _version_ |
1807324659109068800 |