Nonautonomous matter-wave solitons near the Feshbach resonance

Journal Article · Mon Feb 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.81.023610· OSTI ID:21408284

Serkin, V N; Belyaeva, T L ^[1]; Hasegawa, Akira ^[2]

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1. Benemerita Universidad Autonoma de Puebla, Instituto de Ciencias, A.P. 502, 72001 Puebla (Mexico)
2. Soliton Communications, 403, 19-1 Awataguchi Sanjobocho, Higashiyama-ku, Kyoto 605-0035 (Japan)

By means of analytical and numerical methods, we reveal the main features of nonautonomous matter-wave solitons near the Feshbach resonance in a one-dimensional Bose-Einstein condensate confined by a harmonic potential with a varying-in-time longitudinal trapping frequency. Based on the generalized nonautonomous Gross-Pitaevskii model, we show that solitons in nonautonomous physical systems exist only under certain conditions so that varying-in-time nonlinearity and confining harmonic potential cannot be chosen independently; they satisfy the exact integrability scenarios and complement each other. We focus on the most physically important examples where the applied magnetic field is either a linearly or a periodically varying-in-time function. In the case of periodically varying scattering length, variations of confining harmonic potential are found to be sign-reversible (periodic attractive and repulsive) to support the soliton-management regime. We investigate the losses of validity of one-dimensional (1D) approximation in the cases when, by the joint action of varying-in-time nonlinearity and confining potential, the atom cloud can be compressed from an initially elongated quasi-1D cigar-shaped geometry to a final ball-shaped three-dimensional geometry and the induced soliton collapse may occur.

• OSTI ID: 21408284
• Journal Information: Physical Review. A, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevA.81.023610; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
GEOMETRY
HARMONIC POTENTIAL
MAGNETIC FIELDS
NONLINEAR PROBLEMS
PERIODICITY
SCATTERING LENGTHS
SOLITONS
THREE-DIMENSIONAL CALCULATIONS
CALCULATION METHODS
DIMENSIONS
LENGTH
MATHEMATICS
NUCLEAR POTENTIAL
POTENTIALS
QUASI PARTICLES
VARIATIONS