Quench dynamics of dipolar Bose-Hubbard model

A long-range interaction plays significant roles in Bose-particle systems leading to peculiar phenomena, e.g. spatially ordered structures and droplets in Bose-gases[1,2]. Especially in the dipolar Bose-Hubbard(BH) model, the dipole interaction gives rise to spatially ordered phases, which depends on anisotropy of the interaction [3]. This earlier study also pointed out the existence of an "unstable region" in the phase diagram of the dipolar BH system. In our earlier study, we have shown that in the unstable region, droplets emerge in the dipolar BH system [4]. In Ref. [4], we proposed a toy model that describes the size and shape of droplets. In this presentation, we will show the quench dynamics of the dipolar BH model induced by sudden change of the interaction parameter crossing the phase boundary. We find that the fluctuation of the initial state plays an important role in the relaxation of the system in quench dynamics. We will also discuss the effect of fluctuation on the formation of droplets.

[1] Ilzhöfer, P., et. al. Nat. Phys. 17(3), 356-361(2021).

[2] Léonard, J., et. al. Science 358(6369), 1415-1418(2017).

[3] Danshita, I., et. al. PRL 103(22) (2009).

[4] Tamura, K., et. al. arXiv:2110.01265.