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 Gross-Pitaevsky 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.

13 pages, 5 figures, submitt. to Optics Comm., 18th Aug. 99 (special issue Scully Festschrift)

References in corpus (5)

• Theory of Bose-Einstein condensation in trapped gases
• An Atom Laser with a cw Output Coupler
• Collapse and Bose-Einstein condensation in a trapped Bose-gas with negative scattering length
• Phase Diagram of the Two-Dimensional Complex Ginzburg-Landau Equation
• Generic model of an atom laser

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• Building patterns by traveling vortices and dipoles in periodic dissipative media
• Semiclassical approach to the nonlocal nonlinear Schrödinger equation with a non-Hermitian term
• Dissipative Quantum Vortices and Superradiant Scattering
• Analogue gravitational lensing in optical Bose-Einstein condensates
• Quasiparticle solutions for the nonlocal NLSE with an anti-Hermitian term in semiclassical approximation
• Semiclassical states localized on a one-dimensional manifold and governed by the nonlocal NLSE with an anti-Hermitian term