Issue |
EPL
Volume 139, Number 6, September 2022
|
|
---|---|---|
Article Number | 60003 | |
Number of page(s) | 7 | |
Section | General physics | |
DOI | https://doi.org/10.1209/0295-5075/ac8d71 | |
Published online | 15 September 2022 |
Hawking radiation from acoustic black holes in hydrodynamic flow of electrons
1 Department of Nuclear and Atomic Physics, Tata Institute of Fundamental Research - Mumbai 400005, India
2 Department of Physics, Indian Institute of Science - Bengaluru 560012, India
3 Bogoliubov Laboratory of Theoretical Physics, JINR - 141980 Dubna, Russia
4 Institute of Physics - Bhubaneswar 751005, India
5 Homi Bhabha National Institute, Training School Complex, Anushakti Nagar - Mumbai 400085, India
(a) E-mail: shreyansh.dave@tifr.res.in
(b) E-mail: oindrilacg@gmail.com
(c) E-mail: saumia@gmail.com
(d) E-mail: ajit@iopb.res.in (corresponding author)
Received: 22 June 2022
Accepted: 29 August 2022
Acoustic black holes are formed when a fluid flowing with subsonic velocities accelerates and becomes supersonic. When the flow is directed from the subsonic to supersonic region, the surface on which the normal component of fluid velocity equals the local speed of sound acts as an acoustic horizon. This is because no acoustic perturbation from the supersonic region can cross it to reach the subsonic part of the fluid. One can show that if the fluid velocity is locally irrotational, the field equations for acoustic perturbations of the velocity potential are identical to that of a massless scalar field propagating in a black hole background. One, therefore, expects Hawking radiation in the form of a thermal spectrum of phonons. There have been numerous investigations of this possibility, theoretically, as well as experimentally, in systems ranging from cold atom systems to quark-gluon plasma formed in relativistic heavy-ion collisions. Here we investigate this possibility in the hydrodynamic flow of electrons. The resulting Hawking radiation in this case should be observable in terms of current fluctuations. Further, current fluctuations on both sides of the acoustic horizon should show correlations expected for pairs of Hawking particles.
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