Solitary wave billiards

Abstract

In the present work we explore the concept of solitary wave billiards. I.e., instead of a point particle, we examine a solitary wave in an enclosed region and explore its collision with the boundaries and the resulting trajectories in cases which for particle billiards are known to be integrable and for cases that are known to be chaotic. A principal conclusion is that solitary wave billiards are generically found to be chaotic even in cases where the classical particle billiards are integrable. However, the degree of resulting chaoticity depends on the particle speed and on the properties of the potential. Furthermore, the nature of the scattering of the deformable solitary wave particle is elucidated on the basis of a negative Goos-Hänchen effect which, in addition to a trajectory shift, also results in an effective shrinkage of the billiard domain.

References in corpus (4)

• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Dynamics of massive point vortices in binary mixture of Bose-Einstein condensates
• Quantum Chaos of Bogoliubov Waves for a Bose-Einstein Condensate in Stadium Billiards
• Effects of stickiness in the classical and quantum ergodic lemon billiard

Cited by in corpus (1)

• Double-flat-top half-vortices and self-bound solitary wave billiards in cubic-quintic media with intermodal attraction