2006/04/30 by A. D. Martin, Andrew D. Martin, Charles S. Adams +2 · 1 citation
Physics and Astronomy · #Chaotic #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dynamics (music) #Harmonic #Integrable system #Mathematical physics #Matter wave #Nonlinear system #Particle (ecology) #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Soliton #Strong Light-Matter Interactions #Wave–particle duality #cond-mat.other
paper · pdf · doi:10.1103/physrevlett.98.020402
published as Phys. Rev. Lett. 98 020402 (2007) · 4 pages, 3 figures, content changed in response to referee comments, references added
arxiv created 2006/10/17 · openalex publication_date 2007/01/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.