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.
Highlights
One of the defining properties of solitons in systems such as the nonlinear Schrödinger (NLS) and Korteweg-de Vries equations is that they pass through and emerge from collisions with other solitons unperturbed, with the exception of a phase shift arising from the nonlinear interaction [1, 2]
This directly led to the development of a classical particle model [26], describing the dynamics of the bright solitons, from which regions of chaotic behaviour have been eventually predicted for trapped bright solitons in non-integrable settings [27, 28]
We study the nonlinear dynamics of two interacting one-dimensional chiral matter-wave solitons
Summary
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. 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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