Quantum potential induced UV-IR coupling in analogue Hawking radiation: From Bose-Einstein condensates to canonical acoustic black holes

Abstract

Arising out of a Non-local non-relativistic BEC, we present an Analogue gravity model upto O(ξ 2 ) accuracy in the presence of the quantum potential term for a canonical acoustic BH in (3 + 1)-d spacetime where the series solution of the free minimally coupled KG equation for the large length scale massive scalar modes is derived. We systematically address the issues of the presence of the quantum potential term being the root cause of a UV-IR coupling between short wavelength primary modes which are supposedly Hawking radiated through the sonic horizon and the large wavelength secondary modes. In the quantum gravity experiments of analogue Hawking radiation in the laboratory, this UV-IR coupling is inevitable and one can not get rid of these large wavelength excitations which would grow over space by gaining energy from the short wavelength Hawking radiated modes. We identify the characteristic feature in the growth rate(s) that would distinguish these primary and secondary modes.

Quasibound states of Schwarzschild acoustic black holes

“…This interaction is described for an equation of motion which is formally identical to the covariant massless Klein-Gordon equation. Along this line of research, many different physical phenomena were examined in the past on backgrounds with such an effective geometry [10][11][12][13][14][15][16][17][18][19][20][21].…”

Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime

“…A lot of investigation in which concerns the physics of acoustic black holes can be found in the literature, as for example, the Hawking-Unrhu radiation from a rotating acoustic black hole [6], the relativistic acoustic metric for a planar black hole [7], the quantum potential in analogue gravity [8], the canonical acoustic thin-shell wormholes [9], and about the holographic transport in analog models [10]. Among these studies, two are of special interest for us, namely, the work where analytic solutions for massless scalar fields in the both canonical and rotating acoustic black holes are obtained in terms of the Heun's functions [11], and the one about probing the Unruh effect with an accelerated extended system [12].…”

Shadow and near-horizon characteristics of the acoustic charged black hole in curved spacetime

“…Unruh firstly proposed the acoustic black hole model in the normal nonrelativistic fluid and studied the black hole evaporation as well [12]. Later on, plenty of physical phenomena were examined to find the effective geometry and mimic some astrophysical scenarios, see for examples [13][14][15][16][17][18][19][20][21][22][23] and therein. More recent extension on the analogue Hawking radiation has been discussed in [24][25][26][27].…”