Emergent gravitational dynamics from multi-BEC hydrodynamics?

In this paper, we examine the possibility to implement some form of emergent Newtonian gravity in a generic multi-component Bose–Einstein condensate. Parallely to what happens for the emergence of low energy Lorentz invariance, strong requirements have to be imposed on the underlying condensed matter model. We will show, within a simplified model, that the presence of a global symmetry alleviates the problems associated to Lorentz violation, allows the presence of a long range potential, to which the analogue matter fields (the quasi-particles) are coupled following a weaker form of equivalence principle.