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

Year: 2016

Authors: Grisins P., Nguyen HS., Bloch J., Amo A., Carusotto I.

Autors Affiliation: Univ Geneva, DQMP, 24 Quai Ernest Ansermet, CH-1211 Geneva, Switzerland; INO CNR BEC Ctr, Via Sommar 14, I-38123 Povo, Italy; Univ Trento, Via Sommar 14, I-38123 Povo, Italy; Inst Nanotechnol Lyon, 36 Ave Guy Collongue, F-69130 Ecully, France; Univ Paris Saclay, Univ Paris Sud, CNRS, Ctr Nanosci & Nanotechnol,Marcoussis C2N, F-91460 Marcoussis, France; Ecole Polytech, Phys Dept, F-91128 Palaiseau, France.

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.

Journal/Review: PHYSICAL REVIEW B

Volume: 94 (14)      Pages from: 144518-1  to: 144518-12

More Information: We are thankful to P.-E. Larre and I. Khavkine for stimulating discussions and to S. Finazzi for pointing out the renormalization of the Hawking temperature due to velocity-dependent loss. This work was supported by the EU-FET Proactive grant AQuS, Project No. 640800, by the ERC grants Honeypol and QGBE, and by the Autonomous Province of Trento, partly under the call Grandi Progetti 2012 project On silicon chip quantum optics for quantum computing and secure communications-SiQuro.
KeyWords: Sonic Analog; Radiation; Dynamics; Gases
DOI: 10.1103/PhysRevB.94.144518

Citations: 10
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