@article{oai:oist.repo.nii.ac.jp:00000747, author = {Dingwall, R J and Edmonds, M J and Helm, J L and Malomed, B A and Ă–hberg, P}, journal = {New Journal of Physics}, month = {Apr}, note = {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.}, title = {Non-integrable dynamics of matter-wave solitons in a density-dependent gauge theory}, volume = {20}, year = {2018} }