Matter wave switching in Bose-Einstein condensates via intensity redistribution soliton interactions

Journal Article · Tue Feb 15 00:00:00 EST 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3553182· OSTI ID:21501278

Rajendran, S; Lakshmanan, M ^[1]; Muruganandam, P ^[2]

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1. Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirapalli 620024 (India)
2. Department of Physics, Bharathidasan University, Tiruchirapalli 620024 (India)

Using time dependent nonlinear (s-wave scattering length) coupling between the components of a weakly interacting two component Bose-Einstein condensate (BEC), we show the possibility of matter wave switching (fraction of atoms transfer) between the components via shape changing/intensity redistribution (matter redistribution) soliton interactions. We investigate the exact bright-bright N-soliton solution of an effective one-dimensional (1D) two component BEC by suitably tailoring the trap potential, atomic scattering length, and atom gain or loss. In particular, we show that the effective 1D coupled Gross-Pitaevskii equations with time dependent parameters can be transformed into the well known completely integrable Manakov model described by coupled nonlinear Schroedinger equations by effecting a change of variables of the coordinates and the wave functions under certain conditions related to the time dependent parameters. We obtain the one-soliton solution and demonstrate the shape changing/matter redistribution interactions of two and three-soliton solutions for the time-independent expulsive harmonic trap potential, periodically modulated harmonic trap potential, and kinklike modulated harmonic trap potential. The standard elastic collision of solitons occur only for a specific choice of soliton parameters.

• OSTI ID: 21501278
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 2; Other Information: DOI: 10.1063/1.3553182; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSE-EINSTEIN CONDENSATION
INTEGRAL CALCULUS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
S WAVES
SCATTERING LENGTHS
SCHROEDINGER EQUATION
SOLITONS
TIME DEPENDENCE
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
FUNCTIONS
LENGTH
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTIAL WAVES
QUASI PARTICLES
VARIATIONS
WAVE EQUATIONS