Emergent gravitivthe bec paradigm

Abstract

We study selected aspects of quantum gravity phenomenology inspired by the gravitational analogy in Bose–Einstein condensates (BECs). We first review the basic ideas and formalism of analogue gravity in BECs, with particular emphasis on the possibility of simulating black holes. We stress that the dispersion relation in a BEC has a relativistic form in the hydrodynamic limit, and acquires non-relativistic, ‘superluminal’ modifications at high frequencies. This makes it a particularly interesting model for many scenarios of quantum gravity phenomenology which consider a possible violation of local Lorentz invariance at high energies. In particular, it allows the study of kinematical corrections that such quantum gravity scenarios could impose on general relativity.