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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2007
Materias:
Bose-Einstein condensates
Stochastic Gross-Pitaievsky equation
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta
http://hdl.handle.net/20.500.12110/paper_02179792_v21_n23-24_p4239_Calzetta
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_02179792_v21_n23-24_p4239_Calzetta
record_format dspace
spelling paper:paper_02179792_v21_n23-24_p4239_Calzetta2023-06-08T15:21:15Z Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action 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. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta 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
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.
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
publishDate 2007
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta
http://hdl.handle.net/20.500.12110/paper_02179792_v21_n23-24_p4239_Calzetta
_version_ 1768543557757435904

Ejemplares similares