Emergent gravitational dynamics from multi-BEC hydrodynamics?

TL;DR

This paper explores how multi-component Bose-Einstein condensates could give rise to emergent Newtonian gravity, highlighting the conditions needed for such phenomena and the role of symmetries in maintaining long-range interactions.

Contribution

It demonstrates that a global symmetry in a multi-BEC model can facilitate emergent gravitational dynamics by mitigating Lorentz violation issues and enabling long-range potentials.

Findings

Global symmetry helps preserve long-range potentials

Emergent gravity can be modeled in simplified multi-BEC systems

Weaker equivalence principle applies to quasi-particles in this framework

Abstract

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.