Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory

Dingwall, RJ; Edmonds, MJ; Helm, JL; Malomed, BA; Öhberg, P

Abstract

We study interactions between bright matter-wave solitons which acquire chiral transport dynamics due to an optically-induced density-dependent gauge potential. Through numerical simulations, we find that the collision dynamics feature several non-integrable phenomena, from inelastic collisions including population transfer and radiation losses to the formation of short-lived bound states and soliton fission. An effective quasi-particle model for the interaction between the solitons is derived by means of a variational approximation, which demonstrates that the inelastic nature of the collision arises from a coupling of the gauge field to velocities of the solitons. In addition, we derive a set of interaction potentials which show that the influence of the gauge field appears as a short-range potential, that can give rise to both attractive and repulsive interactions.

Citation

Dingwall, R., Edmonds, M., Helm, J., Malomed, B., & Öhberg, P. (2018). Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory. New Journal of Physics, 20(4), Article 043004. https://doi.org/10.1088/1367-2630/aab29e

• Journal Article Type: Article
• Acceptance Date: Feb 27, 2018
• Online Publication Date: Apr 12, 2018
• Publication Date: Apr 12, 2018
• Deposit Date: May 3, 2018
• Publicly Available Date: May 4, 2018
• Journal: New Journal of Physics
• Electronic ISSN: 1367-2630
• Publisher: IOP Publishing
• Peer Reviewed: Peer Reviewed
• Volume: 20
• Issue: 4
• Article Number: 043004
• DOI: https://doi.org/10.1088/1367-2630/aab29e
• Public URL: https://durham-repository.worktribe.com/output/1359641