Martin, A. D. and Adams, C. S. and Gardiner, S. A. (2007) 'Bright matter-wave soliton collisions in a harmonic trap : regular and chaotic dynamics.', Physical review letters., 98 (2). 020402.
Collisions between bright solitary waves in the 1D Gross-Pitaevskii equation with a harmonic potential, which models a trapped atomic Bose-Einstein condensate, are investigated theoretically. A particle analogy for the solitary waves is formulated and shown to be integrable for a two-particle system. The extension to three particles is shown to support chaotic regimes. Good agreement is found between the particle model and simulations of the full wave dynamics, suggesting that the dynamics can be described in terms of solitons both in regular and chaotic regimes, presenting a paradigm for chaos in wave mechanics.
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|Publisher Web site:||http://dx.doi.org/10.1103/PhysRevLett.98.020402|
|Publisher statement:||© 2007 by The American Physical Society. All rights reserved.|
|Date accepted:||No date available|
|Date deposited:||01 July 2010|
|Date of first online publication:||January 2007|
|Date first made open access:||No date available|
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