Effects of quantum potential on lower dimensional models of analogue gravity

Abstract

We address the issues related to the presence of the quantum potential term in a BEC on the observable analogue gravity systems. We show that the quantum potential term apparently gives rise to massive scalar excitations of length scales of the order O ( 1 / ξ ) in the lower dimensional space. Since, in “analogue models”, there is a window for experimental observations generally in ( 2 + 1 ) or even lower dimensional space, one has to take proper account of the presence of these massive excitations to interpret the results.