Non-local interactions in a BEC: an analogue gravity perspective

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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.

Section: The Settingmentioning

confidence: 79%

Section: The Settingmentioning

confidence: 99%

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

Sarkar

Bhattacharyay

2017

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“…This is more so given the fact that there already exists a Laplacian in the kinetic term of the dynamics. The detailed justification of considering the non-locality was given in our previous paper [26].…”

Section: Gross-pitaevskii (Gp) Model For Minimal 'Non-local' S-wave Smentioning

confidence: 99%

Effects of quantum potential on lower dimensional models of analogue gravity

Sarkar

Bhattacharyay

2016

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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.

“…Of course, for a more precise estimate, it would be necessary to accurately and fully determine the fluctuations' dispersion relation, which is modified by the presence of the long-range interactions as compared to the standard short-range case (cf. [19]). This has some effect on the spectrum of the Hawking-temperature (cf.…”

Section: Hawking Temperaturementioning

confidence: 99%

Bose-Einstein condensates with derivative and long-range interactions as set-ups for analog black holes

Kühnel

2014

General types of Bose-Einstein condensates are considered. The formation of black-hole analogues is examined for both short-and long-range interactions for arbitrary spatial dimensions greater than two. The former case includes non-linear derivative terms plus an inevitable external potential, while the latter one consists solely of gravity-like self-interactions for which intrinsic formation of analogue Schwarzschild-type background space-times is possible. The corresponding geometries are studied, and it is shown how they can be made stable. Their Hawking temperature is estimated, and it is found that in certain set-ups it can be significantly increased, thus providing better detectability.