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arXiv · 1709.08037

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

R. J. Dingwall·M. J. Edmonds·J. L. Helm·B. A. Malomed·P. Öhberg
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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 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.

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R. J. Dingwall, M. J. Edmonds, J. L. Helm, B. A. Malomed, P. Öhberg. 2017-09-23. Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory. https://doi.org/10.1088/1367-2630/aab29e

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