Asymmetric matter-wave solitons at nonlinear interfaces

We predict the existence and study the basic properties of strongly asymmetric matter wave solitons that form at the interface produced by regions with different inter-atomic interaction strengths in pancake Bose-Einstein condensates. We address several types of surface solitons featuring topologically complex structures, including vortex and dipole-mode solitons. We found that the soliton become significantly asymmetric for high number of particles in the condensate. Yet, we reveal that under suitable conditions, that we elucidate, even such strongly asymmetric dipole and vortex solitons can be dynamically stable over wide regions of their existence domains.