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arXiv:cond-mat/0506180 · Physical Review Letters

Controllable Soliton Emission from a Bose-Einstein Condensate

María I. Rodas-Verde, Humberto Michinel, Víctor M. Pérez‐García

Published Oct 5, 2005• 141 citations
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Abstract

We demonstrate, through numerical simulations, the controllable emission of matter-wave bursts from a Bose-Einstein condensate in a shallow optical dipole trap. The process is triggered by spatial variations of the scattering length along the trapping axis. In our approach, the outcoupling mechanisms are atom-atom interactions and thus, the trap remains unaltered. Once emitted, the matter wave forms a robust soliton. We calculate analytically the parameters for the experimental implementation of these matter-wave bursts of solitons.

DOI
10.1103/physrevlett.95.153903

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We demonstrate, through numerical simulations, the controllable emission of matter-wave bursts from a Bose-Einstein condensate in a shallow optical dipole trap. The process is triggered by spatial variations of the scattering length along the trapping axis. In our approach, the outcoupling mechanisms are atom-atom interactions and thus, the trap remains unaltered. Once emitted, the matter wave forms a robust soliton. We calculate analytically the parameters for the experimental implementation of these matter-wave bursts of solitons.
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We present two simple designs of matter-wave beam splitters in a trapped Bose-Einstein condensate (BEC). In our scheme, identical pairs of atomic solitons are produced by an adequate control---in time and/or space---of the scattering length. Our analysis is performed by numerical integration of the Gross-Pitaevskii equation and supported by several analytical estimates. Our results show that these devices can be implemented in the frame of current BEC experiments. The system has potential applications for the construction of a soliton interferometer.
We propose a method for the generation of trains of alternating bright solitons in two-component Bose-Einstein condensates, using controlled emission of nonlinear matter waves in the uncoupled regime with spatially varying intraspecies interaction and out-of-phase oscillations of the ground states in the trap. Under this scheme, solitons are sequentially launched from the different components and interact with each other through phase-independent cross coupling. We obtain an analytical estimation of the critical condition for soliton emission using a geometric guiding model, in analogy with integrated optical systems. In addition, we show how strong initial perturbations in the system can trigger the spontaneous generation of supersolitons, i.e., localized phononlike excitations of the soliton trains. Finally, we demonstrate the controllable generation of slow and fast supersolitons by adding external localized potentials in the nonlinear region.
We describe a new technique to accelerate and control a confined cloud of ultracold neutral atoms. In our configuration, a Bose-Einstein condensate trapped in a ring is accelerated by using an amplitude-modulated optical potential. The spreading of the atomic cloud is avoided by an adequate tuning of the scattering length. We also discuss other variations that offer new possibilities of robust control of atomic solitons. Our numerical results show that this cold matter accelerator is easily accessible in the frame of current experiments.