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

Supratik Sarkar and A. Bhattacharyay
Phys. Rev. D 96, 064027 – Published 15 September 2017

Abstract

Arising out of a nonlocal nonrelativistic Bose-Einstein condensates (BEC), we present an analogue gravity model up to O(ξ2) accuracy (ξ being the healing length of the condensate) in the presence of the quantum potential term for a canonical acoustic black hole 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 within the scope of the laboratory set up, this UV-IR coupling is inevitable, and one cannot 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.

  • Received 31 March 2017

DOI:https://doi.org/10.1103/PhysRevD.96.064027

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & AstrophysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Supratik Sarkar* and A. Bhattacharyay

  • Indian Institute of Science Education and Research, Pune 411008, India

  • *supratiks@students.iiserpune.ac.in
  • a.bhattacharyay@iiserpune.ac.in

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Issue

Vol. 96, Iss. 6 — 15 September 2017

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