Nonautonomous matter-wave solitons near the Feshbach resonance

Serkin, V N; Belyaeva, T L; Hasegawa, Akira

doi:10.1103/PHYSREVA.81.023610

Title: Nonautonomous matter-wave solitons near the Feshbach resonance

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Abstract

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.

Authors:

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

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

Publication Date:: Mon Feb 15 00:00:00 EST 2010

OSTI Identifier:: 21408284

Resource Type:: Journal Article

Journal Name:: Physical Review. A

Additional Journal Information:: Journal Volume: 81; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.81.023610; (c) 2010 The American Physical Society; Journal ID: ISSN 1050-2947

Country of Publication:: United States

Language:: English

Subject:: 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

Citation Formats


                    Serkin, V N, Belyaeva, T L, and Hasegawa, Akira. Nonautonomous matter-wave solitons near the Feshbach resonance.  United States: N. p., 2010. 
        Web.  doi:10.1103/PHYSREVA.81.023610.

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                    Serkin, V N, Belyaeva, T L, & Hasegawa, Akira. Nonautonomous matter-wave solitons near the Feshbach resonance.  United States.  https://doi.org/10.1103/PHYSREVA.81.023610

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                    Serkin, V N, Belyaeva, T L, and Hasegawa, Akira. 2010.  
        "Nonautonomous matter-wave solitons near the Feshbach resonance".  United States.  https://doi.org/10.1103/PHYSREVA.81.023610.

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@article{osti_21408284,

  title        = {Nonautonomous matter-wave solitons near the Feshbach resonance},

  author       = {Serkin, V N and Belyaeva, T L and Hasegawa, Akira},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVA.81.023610},

  url          = {https://www.osti.gov/biblio/21408284},
  journal      = {Physical Review. A},

  issn         = {1050-2947},

  number       = 2,

  volume       = 81,

  place        = {United States},

  year         = {Mon Feb 15 00:00:00 EST 2010},

  month        = {Mon Feb 15 00:00:00 EST 2010}

}

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