Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action
We sketch the major steps in a functional integral derivation of a new set of stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate modes incorporated as stochastic sources. The closed-time-p...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02179792_v21_n23-24_p4239_Calzetta |
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todo:paper_02179792_v21_n23-24_p4239_Calzetta2023-10-03T15:10:40Z Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action Calzetta, E. Hu, B.L. Verdaguer, E. Bose-Einstein condensates Stochastic Gross-Pitaievsky equation We sketch the major steps in a functional integral derivation of a new set of stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate modes incorporated as stochastic sources. The closed-time-path (CTP) coarse-grained effective action (CGEA) or the equivalent influence functional method is particularly suitable because it can account for the full back-reaction of the noncondensate modes on the condensate dynamics self-consistently. The Langevin equations derived here containing nonlocal dissipation together with colored and multiplicative noises are useful for a stochastic (as distinguished from a kinetic) description of the nonequilibrium dynamics of a BEC. This short paper contains original research results not yet published anywhere. © World Scientific Publishing Company. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02179792_v21_n23-24_p4239_Calzetta |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Bose-Einstein condensates Stochastic Gross-Pitaievsky equation |
| spellingShingle |
Bose-Einstein condensates Stochastic Gross-Pitaievsky equation Calzetta, E. Hu, B.L. Verdaguer, E. Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action |
| topic_facet |
Bose-Einstein condensates Stochastic Gross-Pitaievsky equation |
| description |
We sketch the major steps in a functional integral derivation of a new set of stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate modes incorporated as stochastic sources. The closed-time-path (CTP) coarse-grained effective action (CGEA) or the equivalent influence functional method is particularly suitable because it can account for the full back-reaction of the noncondensate modes on the condensate dynamics self-consistently. The Langevin equations derived here containing nonlocal dissipation together with colored and multiplicative noises are useful for a stochastic (as distinguished from a kinetic) description of the nonequilibrium dynamics of a BEC. This short paper contains original research results not yet published anywhere. © World Scientific Publishing Company. |
| format |
JOUR |
| author |
Calzetta, E. Hu, B.L. Verdaguer, E. |
| author_facet |
Calzetta, E. Hu, B.L. Verdaguer, E. |
| author_sort |
Calzetta, E. |
| title |
Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action |
| title_short |
Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action |
| title_full |
Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action |
| title_fullStr |
Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action |
| title_full_unstemmed |
Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action |
| title_sort |
stochastic gross-pitaevsky equation for bec via coarse-grained effective action |
| url |
http://hdl.handle.net/20.500.12110/paper_02179792_v21_n23-24_p4239_Calzetta |
| work_keys_str_mv |
AT calzettae stochasticgrosspitaevskyequationforbecviacoarsegrainedeffectiveaction AT hubl stochasticgrosspitaevskyequationforbecviacoarsegrainedeffectiveaction AT verdaguere stochasticgrosspitaevskyequationforbecviacoarsegrainedeffectiveaction |
| _version_ |
1782027954301173760 |