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Theoretical study of stimulated and spontaneous Hawking effects from an acoustic black hole in a hydrodynamically flowing fluid of light

Pjotrs Grišins, Hai Son Nguyen, Jacqueline Bloch, Alberto Amo, and Iacopo Carusotto
Phys. Rev. B 94, 144518 – Published 26 October 2016

Abstract

We propose an experiment to detect and characterize the analog Hawking radiation in an analog model of gravity consisting of a flowing exciton-polariton condensate. Under a suitably designed coherent pump configuration, the condensate features an acoustic event horizon for sound waves that at the semiclassical level is equivalent to an astrophysical black-hole horizon. We show that a continuous-wave pump-and-probe spectroscopy experiment allows to measure the analog Hawking temperature from the dependence of the stimulated Hawking effect on the pump-probe detuning. We anticipate the appearance of an emergent resonant cavity for sound waves between the pump beam and the horizon, which results in marked oscillations on top of an overall exponential frequency dependence. We finally analyze the spatial correlation function of density fluctuations and identify the hallmark features of the correlated pairs of Bogoliubov excitations created by the spontaneous Hawking process, as well as novel signatures characterizing the emergent cavity.

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  • Received 7 June 2016

DOI:https://doi.org/10.1103/PhysRevB.94.144518

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Pjotrs Grišins1,2,*, Hai Son Nguyen3, Jacqueline Bloch4,5, Alberto Amo4, and Iacopo Carusotto2

  • 1DQMP, University of Geneva, 24 Quai Ernest Ansermet, 1211 Geneva, Switzerland
  • 2INO-CNR BEC Center and Università di Trento, Via Sommarive 14, 38123 Povo, Italy
  • 3Institut des Nanotechnologies de Lyon, 36 Avenue Guy de Collongue, 69130 Écully, France
  • 4Centre de Nanosciences et de Nanotechnologies, CNRS, Univ. Paris-Sud, Université Paris-Saclay, C2N–Marcoussis, 91460 Marcoussis, France
  • 5Physics Department, École Polytechnique, F-91128 Palaiseau Cedex, France

  • *pjotrs.grisins@unige.ch

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Issue

Vol. 94, Iss. 14 — 1 October 2016

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