Dynamical evolutions of matter-wave bright solitons in an inverted parabolic potential

A family of analytical solutions to a quasi one-dimensional time-dependent Gross-Pitaevskii equation with inverted parabolic potentials and time-varying nonlinear two-body interactions are presented, which simulate the dynamical evolutions of nonlinear matter-wave bright solitons. Synchronous behavi...

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Bibliographic Details
Published in:Journal of physics. B, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2007-01, Vol.40 (1), p.211-220
Main Authors: Chong, Guishu, Hai, Wenhua
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Matter waves
Nonlinear dynamics and nonlinear dynamical systems
Physics
Solitons
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary:A family of analytical solutions to a quasi one-dimensional time-dependent Gross-Pitaevskii equation with inverted parabolic potentials and time-varying nonlinear two-body interactions are presented, which simulate the dynamical evolutions of nonlinear matter-wave bright solitons. Synchronous behaviour between the variations of nonlinear interaction and compression or expansion of the solitons is demonstrated. For the case of higher order solitons, collision features are investigated. For travelling two solitons, different kinds of collisions are discussed for pi and 0 phase difference between the two solitons at the collision point. Furthermore, a moving two-soliton 'bound'state is demonstrated. During the propagation, the solitons oscillate and collide many times.
ISSN:0953-4075
1361-6455
DOI:10.1088/0953-4075/40/1/019