Hannover 2003 – scientific programme
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Q: Quantenoptik
Q 51: Quantengase 5
Q 51.1: Talk
Friday, March 28, 2003, 14:00–14:15, F303
Generation and Manipulation of Bright Solitons in BEC — •Henning Fehrmann, Anna Sanpera, and Maciek Lewenstein — ITP Universit/"at Hannover Apperlstr. 2
The recent observation of bright solitons in Bose-Einstein-Condensation with negative scattering length provides new interesting possibilities of examinations. A scheme is suggested for the generation of free and bounded two-soliton states in quasi one-dimensional Bose-Einstein-Condensates. The dynamics in this condensate is very precisely described by the Gross Pitievskii equation. In the case of an homogeneous potential the exact analytical expressions for multi-soliton solutions are provided with a generalized Inverse Scattering Transform. In particular the ideal free two-soliton wave function is approached with a suitable manipulation of the bright soliton ground state by using the phase imprinting method and Feshbach resonance. Since the two-soliton wave function is generated "artificiallyNo-dq, the phase difference between the two solitons and the velocities of the solitons can be controlled. Bounded two-soliton wave functions can be produced by an adiabatic separation of two solitons out of a one-soliton ground state. A slow increasing of the potential wall in the center of the condensate leads to the separation. The potential confines the condensate in the radial plane and is homogeneous in the axial direction. The condensate is stable for sufficiently small absolute values of the trap frequency ω⊥, the number of atoms Na, the mass of the atoms m or the scattering length aa.