Dissipation through localised loss in bosonic systems with long-range interactions

In recent years, controlled dissipation has proven to be a useful tool for probing of a quantum system in the ultracold setup. In this paper we consider dynamics of bosons induced by a dissipative local defect. We address superfluid and supersolid phases close to half-filling that are ground states of an extended Bose-Hubbard Hamiltonian. To this end, we solve the master equation using the Gutzwiller approximation and find that in the superfluid phase repulsive nearest neighbour interactions can lead to enhanced dissipation processes. On the other hand, our mean-field approach indicates that the effective loss rates are significantly suppressed deep in the supersolid phase where repulsive nearest neighbour interactions play a dominant role. Our numerical results are explained by analytical arguments and in particular, in the limit of strong dissipation we recover the quantum Zeno effect.