Dissipative dynamics of an open Bose Einstein condensate
Abstract
As an atomic Bose Einstein condensate (BEC) is coupled to a source of uncondensed atoms at the same temperature and to a sink (extraction towards an atom laser) the idealized description in terms of a GrossPitaevsky equation (GP) no longer holds. Under suitable physical assumptions we show that the dissipative BEC obeys a Complex Ginzburg Landau equation (CGL) and for some parameter range it undergoes a space time patterning. As a consequence, the density of BEC atoms within the trap displays non trivial space time correlations, which can be detected by monitoring the density profile of the outgoing atom laser. The patterning condition requires a negative scattering length, as e.g. in ^{7}Li. In such a case we expect a many domain collapsed regime, rather than a single one as reported for a closed BEC.
 Publication:

Optics Communications
 Pub Date:
 May 2000
 DOI:
 10.1016/S00304018(99)006707
 arXiv:
 arXiv:condmat/9908468
 Bibcode:
 2000OptCo.179..149A
 Keywords:

 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 13 pages, 5 figures, submitt. to Optics Comm., 18th Aug. 99 (special issue Scully Festschrift)