Out of equilibrium superfluid density evolution of dipolar Bose-Einstein condensate

We investigate theoretically the condensate depletion and the superfluid density evolution of an ultracold Bose gas in a time dependent weak random potential. The bosons are interacting both through an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction. The temporal evolution of the superfluid density and the condensate depletion is followed throughout switching on/off the random potential and compared with previous literature. We identify the equilibrium and the dynamical contributions to the two aforementioned quantities. A disorder switch on/off protocol is considered afterwards and it clarifies the role of the two respective contributions.