Effects of the Quantum Potential on lower dimensional models of analogue gravity

TL;DR

This paper investigates how the quantum potential influences lower-dimensional analogue gravity models in Bose-Einstein condensates, highlighting the emergence of massive scalar excitations that impact experimental interpretations.

Contribution

It demonstrates that the quantum potential induces massive excitations in lower-dimensional models, which are crucial for accurate analysis of analogue gravity experiments.

Findings

Quantum potential leads to massive scalar excitations.

These excitations have length scales of order 1/ξ.

Implications for interpreting lower-dimensional analogue gravity experiments.

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 $\mathcal{O}(1/\xi)$ 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.