Quantum potential induced emergence of massive scalar fields in the analogue gravity model of a Bose-Einstein condensate

TL;DR

This paper demonstrates how quantum potential effects in a Bose-Einstein condensate can lead to the emergence of massive scalar fields, revealing Lorentz symmetry breaking at certain length scales and suggesting experimental observation methods.

Contribution

It introduces a general approach to incorporate quantum potential in the emergent gravity model of BECs, showing the emergence of massive scalar fields due to Lorentz symmetry breaking.

Findings

Emergence of massive scalar modulating field at larger scales

Quantum potential inclusion modifies emergent gravity models

Proposes experimental tuning of healing length for observations

Abstract

We show here a general approach to include the quantum potential term in the emergent gravity model of Bose-Einstein condensate by using multiple scales. Our main result shows the emergence of a massive scalar modulating field at larger length scales as a result of Lorentz symmetry breaking at the length scales comparable to the healing length. We also propose that, the nonlocal interactions induced tuning of healing length can be exploited experimentally to observe the systematics of small and large scale coupling as emerges in our present analysis.