Bright-matter solitons in a uniformly feeded Bose-Einstein condensate with expulsive harmonic potential

Journal Article · Tue Jul 15 00:00:00 EDT 2008 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2957942· OSTI ID:21100346

Dikande, Alain Moiese ^[1]

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1. Laboratory of Research on Advanced Materials and Nonlinear Sciences(LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, P.O. Box 63, Buea (Cameroon)

The Gross-Pitaevskii equation, which describes the dynamics of a one-dimensional uniformly feeded attractive Bose-Einstein condensate in an expulsive potential of arbitrary harmonic shape -a{sub 2}x{sup 2}+a{sub 1}x, is solved analytically following the inverse scattering transform method. Within this approach, bright-matter waves are obtained as exact envelope-soliton solutions of the nonlinear Schroedinger equation with a complex harmonic potential. The envelope shapes mimic double-lump pulses of unequal amplitudes symmetric with respect to the potential maximum, moving simultaneously at nonconstant accelerations with amplitudes that vary in time.

• OSTI ID: 21100346
• Journal Information: Journal of Mathematical Physics, Vol. 49, Issue 7; Other Information: DOI: 10.1063/1.2957942; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACCELERATION
BOSE-EINSTEIN CONDENSATION
HARMONIC POTENTIAL
INVERSE SCATTERING PROBLEM
MATHEMATICAL SOLUTIONS
MATTER
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
SCHROEDINGER EQUATION
SOLITONS