Dynamics of a BEC bright soliton in an expulsive potential

Abstract

We theoretically investigate the dynamics of a matter-wave soliton created in a harmonic potential, which is attractive in the transverse direction but expulsive in the longitudinal direction. This Bose-Einstein-condensate (BEC) bright soliton made of ${}^7$Li atoms has been observed in a recent experiment (Science {\bf 296}, 1290 (2002)). We show that the non-polynomial Schrödinger equation, an effective one-dimensional equation we derived from the three-dimensional Gross-Pitaevskii equation, is able to reproduce the main experimental features of this BEC soliton in an expulsive potential.

5 pages, 4 figures (2 of them with colors)

References in corpus (4)

• Bright gap solitons of atoms with repulsive interaction
• Modulational Instability and Complex Dynamics of Confined Matter-Wave Solitons
• Transition from 3D to 1D in Bose Gases at Zero Temperature
• Dimensional Reduction in Bose-Condensed Alkali-Metal Vapors

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• Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions
• An effective quasi-one-dimensional description of a spin-1 atomic condensate
• Quantum Phases of Attractive Matter Waves in a Toroidal Trap
• Bright solitary waves and trapped solutions in Bose-Einstein condensates with attractive interactions
• Temporal dynamics of tunneling. Hydrodynamic approach
• Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions
• Bright solitons in ultracold atoms
• Generalized nonpolynomial Schrodinger equations for matter waves under anisotropic transverse confinement
• Bright solitary waves of trapped atomic Bose-Einstein condensates
• Engineering Bright Matter-Wave Solitons of Dipolar Condensates
• Collapse of triaxial bright solitons in atomic Bose-Einstein condensates
• Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
• Soliton localization in Bose-Einstein condensates with time-dependent harmonic potential and scattering length
• Spontaneous symmetry breaking and collapse in bosonic Josephson junctions
• The nonlinear Dirac equation in Bose-Einstein condensates: II. Relativistic soliton stability analysis
• Application of the Feshbach-resonance management to a tightly confined Bose-Einstein condensate
• Soliton response to transient trap variations
• Stability limits for modes held in alternating trapping-expulsive potentials
• Time-optimal variational control of bright matter-wave soliton
• Trapping wave fields in an expulsive potential by means of linear coupling
• Dynamics of kicked matter-wave solitons in an optical lattice