Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1406.5229 · Physical Review Letters

Quantum Signature of Analog Hawking Radiation in Momentum Space

Denis Boiron, Alessandro Fabbri, Pierre-Élie Larré, Nicolas Pavloff, Christoph Ira Westbrook, Paweł Zin

Published Jul 6, 2015• 64 citations
arXivHTMLPDF

Abstract

We consider a sonic analog of a black hole realized in the one-dimensional flow of a Bose-Einstein condensate. Our theoretical analysis demonstrates that one- and two-body momentum distributions accessible by present-day experimental techniques provide clear direct evidence (i) of the occurrence of a sonic horizon, (ii) of the associated acoustic Hawking radiation, and (iii) of the quantum nature of the Hawking process. The signature of the quantum behavior persists even at temperatures larger than the chemical potential.

DOI
10.1103/physrevlett.115.025301

Related papers

Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates

Alessandro Fabbri, Nicolas Pavloff

We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.

arXiv:1712.07842•SciPost Physics•Apr 9, 2018•27 citations

Quantum depletion signature of emerging sonic horizons in a quasi-one-dimensional Bose-Einstein condensate

Caio C. Holanda Ribeiro, Sang-Shin Baak, Uwe R. Fischer

We consider the quasi-one-dimensional (quasi-1D) model of a sonic black hole in a dilute Bose-Einstein condensate. It is shown that an accurate treatment of the dimensional reduction to quasi-1D leads to a finite condensate quantum depletion even for axially infinite systems, and an intrinsic nonthermality of the black hole radiation spectrum. By calculating the depletion, we derive a {\em first-order} many-body signature of the sonic horizon, represented by a distinct peak in the depletion power spectrum. This peak constitutes a readily experimentally accessible tool to detect quantum sonic horizons even when a negligible Hawking radiation flux is created by the black hole.

•Mar 8, 2021•0 citations

Numerical observation of Hawking radiation from acoustic black holes in atomic Bose–Einstein condensates

Iacopo Carusotto, Serena Fagnocchi, Alessio Recati +2 more

We report numerical evidence of Hawking emission of Bogoliubov phonons from a sonic horizon in a flowing one-dimensional atomic Bose–Einstein condensate. The presence of Hawking radiation is revealed from peculiar long-range patterns in the density–density correlation function of the gas. Quantitative agreement between our fully microscopic calculations and the prediction of analog models is obtained in the hydrodynamic limit. New features are predicted and the robustness of the Hawking signal against a finite temperature discussed.

arXiv:0803.0507•New Journal of Physics•Oct 2, 2008•290 citations

Existence of steady-state black hole analogs in finite quasi-one-dimensional Bose-Einstein condensates

Caio C. Holanda Ribeiro, Sang-Shin Baak, Uwe R. Fischer

We theoretically propose a finite-size quasi-one-dimensional Bose-Einstein condensate with coherent source and drain placed at its two ends, which can in principle sustain a stationary sonic black hole with a single event horizon. Our analysis is focused on the condensate persistence against quantum fluctuations. We show that similar to black hole-white hole pairs, dynamical instabilities occur. Investigating in detail the instabilities' dependence on the system parameters, we also identify windows of formally infinite black hole lifetimes. By using quantum depletion of the condensate as a diagnostic tool, we validate the usage of Bogoliubov theory to describe the analog Hawking process, and establish novel signatures of Hawking radiation in the depleted cloud, both inside and outside the event horizon.

arXiv:2103.05015•Physical review. D/Physical review. D.•Jun 27, 2022•29 citations

Quantum fluctuations around black hole horizons in Bose-Einstein condensates

Pierre-Élie Larré, Alessio Recati, Iacopo Carusotto +1 more

We study several realistic configurations making it possible to realize an acoustic horizon in the flow of a one-dimensional Bose-Einstein condensate. In each case we give an analytical description of the flow pattern, the spectrum of Hawking radiation, and the associated quantum fluctuations. Our calculations confirm that the nonlocal correlations of the density fluctuations previously studied in a simplified model provide a clear signature of Hawking radiation also in realistic configurations. In addition, we explain by direct computation how this nonlocal signal relates to short-range modifications of the density correlations.

arXiv:1110.4464•Physical Review A•Jan 17, 2012•104 citations

Hawking Radiation in Sonic Black Holes

S. Giovanazzi

I present a microscopic description of Hawking radiation in sonic black holes. A one-dimensional Fermi-degenerate liquid squeezed by a smooth barrier forms a transonic flow, a sonic analog of a black hole. The quantum treatment of the noninteracting case establishes a close relationship between sonic Hawking radiation and quantum tunneling through the barrier. Quasiparticle excitations appear at the barrier and are then radiated with a thermal distribution in exact agreement with Hawking's formula. The signature of the radiation can be found in the dynamic structure factor, which can be measured in a scattering experiment. The possibility for experimental verification of this new transport phenomenon for ultracold atoms is discussed.

arXiv:physics/0411064•Physical Review Letters•Feb 18, 2005•142 citations
We consider a sonic analog of a black hole realized in the one-dimensional flow of a Bose-Einstein condensate. Our theoretical analysis demonstrates that one- and two-body momentum distributions accessible by present-day experimental techniques provide clear direct evidence (i) of the occurrence of a sonic horizon, (ii) of the associated acoustic Hawking radiation, and (iii) of the quantum nature of the Hawking process. The signature of the quantum behavior persists even at temperatures larger than the chemical potential.
We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.
We consider the quasi-one-dimensional (quasi-1D) model of a sonic black hole in a dilute Bose-Einstein condensate. It is shown that an accurate treatment of the dimensional reduction to quasi-1D leads to a finite condensate quantum depletion even for axially infinite systems, and an intrinsic nonthermality of the black hole radiation spectrum. By calculating the depletion, we derive a {\em first-order} many-body signature of the sonic horizon, represented by a distinct peak in the depletion power spectrum. This peak constitutes a readily experimentally accessible tool to detect quantum sonic horizons even when a negligible Hawking radiation flux is created by the black hole.
We report numerical evidence of Hawking emission of Bogoliubov phonons from a sonic horizon in a flowing one-dimensional atomic Bose–Einstein condensate. The presence of Hawking radiation is revealed from peculiar long-range patterns in the density–density correlation function of the gas. Quantitative agreement between our fully microscopic calculations and the prediction of analog models is obtained in the hydrodynamic limit. New features are predicted and the robustness of the Hawking signal against a finite temperature discussed.
We theoretically propose a finite-size quasi-one-dimensional Bose-Einstein condensate with coherent source and drain placed at its two ends, which can in principle sustain a stationary sonic black hole with a single event horizon. Our analysis is focused on the condensate persistence against quantum fluctuations. We show that similar to black hole-white hole pairs, dynamical instabilities occur. Investigating in detail the instabilities' dependence on the system parameters, we also identify windows of formally infinite black hole lifetimes. By using quantum depletion of the condensate as a diagnostic tool, we validate the usage of Bogoliubov theory to describe the analog Hawking process, and establish novel signatures of Hawking radiation in the depleted cloud, both inside and outside the event horizon.
We study several realistic configurations making it possible to realize an acoustic horizon in the flow of a one-dimensional Bose-Einstein condensate. In each case we give an analytical description of the flow pattern, the spectrum of Hawking radiation, and the associated quantum fluctuations. Our calculations confirm that the nonlocal correlations of the density fluctuations previously studied in a simplified model provide a clear signature of Hawking radiation also in realistic configurations. In addition, we explain by direct computation how this nonlocal signal relates to short-range modifications of the density correlations.
I present a microscopic description of Hawking radiation in sonic black holes. A one-dimensional Fermi-degenerate liquid squeezed by a smooth barrier forms a transonic flow, a sonic analog of a black hole. The quantum treatment of the noninteracting case establishes a close relationship between sonic Hawking radiation and quantum tunneling through the barrier. Quasiparticle excitations appear at the barrier and are then radiated with a thermal distribution in exact agreement with Hawking's formula. The signature of the radiation can be found in the dynamic structure factor, which can be measured in a scattering experiment. The possibility for experimental verification of this new transport phenomenon for ultracold atoms is discussed.