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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2007
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| 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: |
| Sumario: | 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. |
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