Self-localisation of dipolar Bose-Einstein condensates in leaking optical lattices

We investigate self-localisation of dipolar Bose-Einstein condensates (BECs) in 1D nonlinear lattices via boundary dissipation in a dissipative nonlinear Schrödinger model (DNLS) with nearest-neighbour dipole-dipole interactions (DDI). By including both contact interactions and DDIs, we observe that a rich variety of self-localised modes (i.e., single discrete breathers, moving breathers and multi-breathers) can exist in dipolar systems in optical lattices. Furthermore, we find that DDIs can suppress the formation of single discrete breathers and support the formation of multi-breathers. Our results show that including both contact interactions and DDIs may provide a way to experimentally obtain stationary multi-breathers in optical lattices via boundary dissipations.