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Evanescent Modes and Step-like Acoustic Black Holes

Curtis, Jonathan and Refael, Gil and Galitski, Victor (2019) Evanescent Modes and Step-like Acoustic Black Holes. Annals of Physics, 407 . pp. 148-165. ISSN 0003-4916. doi:10.1016/j.aop.2019.04.017.

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We consider a model of an acoustic black hole formed by a quasi-one dimensional Bose–Einstein condensate with a step-like horizon. This system is analyzed by solving the corresponding Bogoliubov–de Gennes equation with an appropriate matching condition at the jump. When the step is between a subsonic and supersonic flow, a sonic horizon develops and in addition to the scattering coefficients we compute the distribution of the accompanying analogue Hawking radiation. Additionally, in response to the abrupt variation in flow and non-linear Bogoliubov dispersion relation, evanescent solutions of the Bogoliubov–de Gennes equation also appear and decay out from the horizon. We bound this decay length and show that these modes produce a modulation of observables outside the event horizon by their interference with outgoing Hawking flux. We go further and find specific superpositions of ingoing eigenmodes which exhibit coherent cancellation of the Hawking flux outside the horizon but nevertheless have evanescent support outside the black hole. We conclude by speculating that when quasiparticle interactions are included, evanescent modes may yield a leakage of information across the event horizon via interactions between the real outgoing Hawking flux and the virtual evanescent modes, and that we may expect this as a generic feature of models which break Lorentz invariance at the UV (Planck) scale.

Item Type:Article
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URLURL TypeDescription Paper
Alternate Title:Evanescent Horizon Modes Partnered to Acoustic Hawking Emission
Additional Information:© 2019 Elsevier Inc. Received 27 February 2019, Accepted 29 April 2019, Available online 16 May 2019. The authors would like to acknowledge productive discussions with Justin Wilson, Aydin Keser, Greg Gabadadze, Brian Swingle, and Iacopo Carusotto. This work was supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. DGE 1322106 (JC) and US-ARO (contract No. W911NF1310172), nsf-dmr 1613029, and Simons Foundation (VG). GR is grateful for the IQIM, an NSF Frontier center, and both GR and VG are grateful for the hospitality of the Aspen Center for Physics, which is supported by National Science Foundation grant PHY-1607761, where part of the work was done.
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
NSF Graduate Research FellowshipDGE-1322106
Army Research Office (ARO)W911NF-1310172
Simons FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Record Number:CaltechAUTHORS:20190426-161745452
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Official Citation:Jonathan Curtis, Gil Refael, Victor Galitski, Evanescent modes and step-like acoustic black holes, Annals of Physics, Volume 407, 2019, Pages 148-165, ISSN 0003-4916, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95058
Deposited By: Tony Diaz
Deposited On:27 Apr 2019 00:41
Last Modified:16 Nov 2021 17:09

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