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 $\mathcal{O}({\xi }^2)$ 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.

22 pages, 0 figures, version-3

References in corpus (8)

• Observation of self-amplifying Hawking radiation in an analog black hole laser
• Hawking radiation from ultrashort laser pulse filaments
• Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed Gas
• Acoustic black holes in a two-dimensional "photon-fluid"
• Probing the scale invariance of the inflationary power spectrum in expanding quasi-two-dimensional dipolar condensates
• Resonant Hawking radiation in Bose-Einstein condensates
• Kinematic study of the effect of dispersion in quantum vacuum emission from strong laser pulses
• Effects of the Quantum Potential on lower dimensional models of analogue gravity

Cited by in corpus (4)

• Quasibound states of Schwarzschild acoustic black holes
• Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
• Shadow and near-horizon characteristics of the acoustic charged black hole in curved spacetime
• Galactic microlensing by acoustic Schwarzschild black holes