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arXiv:cond-mat/0103294 · Physical Review A

Bose-Einstein beams: Coherent propagation through a guide

P. Lebœuf, Nicolas Pavloff

Published Aug 3, 2001• 153 citations
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Abstract

We compute the stationary profiles of a coherent beam of Bose-Einstein-condensed atoms propagating through a guide. Special emphasis is put on the effect of a disturbing obstacle present in the trajectory of the beam. The obstacle considered (such as a bend in the guide, or a laser field perpendicular to the beam) results in a repulsive or an attractive potential acting on the condensate. Different behaviors are observed when the beam velocity (with respect to the speed of sound), the size of the obstacle (relative to the healing length), and the intensity and sign of the potential are varied. The existence of bound states of the condensate is also considered.

DOI
10.1103/physreva.64.033602

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We compute the stationary profiles of a coherent beam of Bose-Einstein-condensed atoms propagating through a guide. Special emphasis is put on the effect of a disturbing obstacle present in the trajectory of the beam. The obstacle considered (such as a bend in the guide, or a laser field perpendicular to the beam) results in a repulsive or an attractive potential acting on the condensate. Different behaviors are observed when the beam velocity (with respect to the speed of sound), the size of the obstacle (relative to the healing length), and the intensity and sign of the potential are varied. The existence of bound states of the condensate is also considered.
We compute the stationary profiles of a coherent beam of Bose condensed atoms propagating through a guide. Special emphasis is put on the effect of an obstacle present on the trajectory of the beam. The obstacle considered (such as a bend in the guide, or a laser field perpendicular to the beam) results in a repulsive or an attractive potential acting on the condensate. Different behaviors are observed when varying the beam velocity (with respect to the speed of sound), the size of the obstacle (relative to the healing length) and the intensity and sign of the potential. The existence of bound states of the condensate is also considered. PACS numbers: 03.75.b Matter waves 03.75.Fi Phase coherent atomic ensembles; quantum condensation phenomena 42.65.Tg Optical solitons; nonlinear guided waves 67.60.Hf Hydrodynamics in specific geometries, flow in narrow channels 1 Unité Mixte de Recherche de l’Université Paris XI et du CNRS (UMR 8626).
The one-dimensional flow of a continuous beam of Bose-Einstein condensed atoms in the presence of an obstacle is studied as a function of the beam velocity and of the type of perturbing potential (representing the interaction of the obstacle with the atoms of the beam). We identify the relevant regimes: stationary/time-dependent and superfluid/dissipative; the absence of drag is used as a criterion for superfluidity. There exists a critical velocity below which the flow is superfluid. For attractive obstacles, we show that this critical velocity can reach the value predicted by Landau's approach. Besides, for penetrable obstacles, it is shown that superfluidity is recovered at large beam velocity. Finally, enormous differences in drag occur when switching from repulsive to attractive potential.
The usual mean-field description of trapped atomic Bose - Einstein condensates predicts the existence of solitons in one-dimensional and quasi-one-dimensional confinement. If the net atomic pair interaction is attractive, these solitons appear as coherently propagating matter wavepackets; if it is repulsive, soliton behaviour is seen in the motion of `holes' in the condensate density, the velocity of which is determined by the phase difference between adjoining pieces of condensate, in analogy to the familiar Josephson effect. We explore the properties of these solitons via elementary analytic models and computer simulation, and make specific suggestions for their experimental observation.
A basic set of equations describing the interaction of a Bose-Einstein condensate (BEC) with a laser field is derived based on a semiclassical model and applied to the problem of mutual guiding of laser and BEC atomic beams. Within this framework we have studied stationary spatially localized solutions of the nonlinear system which describe possible laser and BEC atomic beam guiding and have shown their stability as well. It is also shown that a self-guiding effect can be realized through both single- and multiple-scaled structures of a BEC atomic and a laser beam.
We study the coherent flow of a guided Bose-Einstein condensate incident over a disordered region of length LLL. We introduce a model of disordered potential that originates from magnetic fluctuations inherent to microfabricated guides. This model allows for analytical and numerical studies of realistic transport experiments. The repulsive interaction among the condensate atoms in the beam induces different transport regimes. Below some critical interaction (or for sufficiently small LLL) a stationary flow is observed. In this regime, the transmission decreases exponentially with increasing LLL. For strong interaction (or large LLL), the system displays a transition toward a time-dependent flow with an algebraic decay of the time-averaged transmission.
Sound propagation has been studied in a magnetically trapped dilute Bose-Einstein condensate. Localized excitations were induced by suddenly modifying the trapping potential using the optical dipole force of a focused laser beam. The resulting propagation of sound was observed using a novel technique, rapid sequencing of nondestructive phase-contrast images. The speed of sound was determined as a function of density and found to be consistent with Bogoliubov theory. This method may generally be used to observe high-lying modes and perhaps second sound.