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

Robert Dingwall, M. J. Edmonds, J. L. Helm, B. A. Malomed, Patrik Öhberg

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12 Citations (Scopus)
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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.
Original languageEnglish
Article number043004
JournalNew Journal of Physics
Volume20
Issue number4
Early online date12 Apr 2018
DOIs
Publication statusPublished - Apr 2018

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