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

Lookup NU author(s): Dr Matthew Edmonds



This work is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0).


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.

Publication metadata

Author(s): Dingwall RJ, Edmonds MJ, Helm JL, Malomed BA, Öhberg P

Publication type: Article

Publication status: Published

Journal: New Journal of Physics

Year: 2018

Volume: 20

Print publication date: 01/04/2018

Online publication date: 12/04/2018

Acceptance date: 27/02/2018

Date deposited: 18/05/2018

ISSN (print): 1367-2630

ISSN (electronic): 1367-2630

Publisher: IOP Publishing


DOI: 10.1088/1367-2630/aab29e


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Funder referenceFunder name
EP/M005127/1Commonwealth Scholarship Commission in the United Kingdom