Master equation for quantum brownian motion derived by stochastic methods
The master equation for a linear open quantum system in a general environment is derived using a stochastic approach. This is an alternative derivation to that of Hu, Paz, and Zhang, which was based on the direct computation of path integrals, or to that of Halliwell and Yu, based on the evolution o...
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todo:paper_00207748_v40_n12_p2317_Calzetta2023-10-03T14:20:13Z Master equation for quantum brownian motion derived by stochastic methods Calzetta, E. Roura, A. Verdaguer, E. The master equation for a linear open quantum system in a general environment is derived using a stochastic approach. This is an alternative derivation to that of Hu, Paz, and Zhang, which was based on the direct computation of path integrals, or to that of Halliwell and Yu, based on the evolution of the Wigner function for a linear closed quantum system. We first show by using the influence functional formalism that the reduced Wigner function for the open system coincides with a distribution function resulting from averaging both over the initial conditions and the stochastic source of a formal Langevin equation. The master equation for the reduced Wigner function can then be deduced as a Fokker-Planck equation obtained from the formal Langevin equation. © 2001 Plenum Publishing Corporation. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00207748_v40_n12_p2317_Calzetta |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
The master equation for a linear open quantum system in a general environment is derived using a stochastic approach. This is an alternative derivation to that of Hu, Paz, and Zhang, which was based on the direct computation of path integrals, or to that of Halliwell and Yu, based on the evolution of the Wigner function for a linear closed quantum system. We first show by using the influence functional formalism that the reduced Wigner function for the open system coincides with a distribution function resulting from averaging both over the initial conditions and the stochastic source of a formal Langevin equation. The master equation for the reduced Wigner function can then be deduced as a Fokker-Planck equation obtained from the formal Langevin equation. © 2001 Plenum Publishing Corporation. |
| format |
JOUR |
| author |
Calzetta, E. Roura, A. Verdaguer, E. |
| spellingShingle |
Calzetta, E. Roura, A. Verdaguer, E. Master equation for quantum brownian motion derived by stochastic methods |
| author_facet |
Calzetta, E. Roura, A. Verdaguer, E. |
| author_sort |
Calzetta, E. |
| title |
Master equation for quantum brownian motion derived by stochastic methods |
| title_short |
Master equation for quantum brownian motion derived by stochastic methods |
| title_full |
Master equation for quantum brownian motion derived by stochastic methods |
| title_fullStr |
Master equation for quantum brownian motion derived by stochastic methods |
| title_full_unstemmed |
Master equation for quantum brownian motion derived by stochastic methods |
| title_sort |
master equation for quantum brownian motion derived by stochastic methods |
| url |
http://hdl.handle.net/20.500.12110/paper_00207748_v40_n12_p2317_Calzetta |
| work_keys_str_mv |
AT calzettae masterequationforquantumbrownianmotionderivedbystochasticmethods AT rouraa masterequationforquantumbrownianmotionderivedbystochasticmethods AT verdaguere masterequationforquantumbrownianmotionderivedbystochasticmethods |
| _version_ |
1807323102575591424 |