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Sonic black holes in dilute Bose-Einstein condensates
General Relativity and Quantum Cosmology · Submitted 31 May 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior completely analogous to that of gravitational black holes.
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The abstract, sentence by sentence
The sonic analog of a gravitational black hole in dilute-gas Bose-Einstein condensates is investigated. It is shown that there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior completely analogous to that of gravitational black holes. The dynamical instabilities involve creation of quasiparticle pairs in positive and negative energy states. We illustrate these features in two qualitatively different one-dimensional models, namely, a long, thin condensate with an outcoupler laser beam providing an ``atom sink,'' and a tight ring-shaped condensate. We have also simulated the creation of a stable sonic black hole by solving the Gross-Pitaevskii equation numerically for a condensate subject to a trapping potential which is adiabatically deformed. A sonic black hole could in this way be created experimentally with state-of-the-art or planned technology.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The sonic analog of a gravitational black hole in dilute-gas Bose-Einstein condensates is investigated. | contribution 0.73 | 0.72 | 0.06 | asserted 0.76 |
| s1 | It is shown that there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior completely analogous to that of gravitational black holes. | result 1.00 | 0.88 | 0.72 | asserted 1.00 |
| s2 | The dynamical instabilities involve creation of quasiparticle pairs in positive and negative energy states. | result 0.96 | 0.77 | 0.11 | asserted 1.00 |
| s3 | We illustrate these features in two qualitatively different one-dimensional models, namely, a long, thin condensate with an outcoupler laser beam providing an ``atom sink,'' and a tight ring-shaped condensate. | method 0.87 | 0.88 | 0.05 | asserted 0.99 |
| s4 | We have also simulated the creation of a stable sonic black hole by solving the Gross-Pitaevskii equation numerically for a condensate subject to a trapping potential which is adiabatically deformed. | method 0.44 | 0.95 | 0.12 | asserted 0.99 |
| s5 | A sonic black hole could in this way be created experimentally with state-of-the-art or planned technology. | interpretation 0.91 | 0.23 | 0.34 | hedged possibility 1.00 |
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Original abstract
The sonic analog of a gravitational black hole in dilute-gas Bose-Einstein condensates is investigated. It is shown that there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior completely analogous to that of gravitational black holes. The dynamical instabilities involve creation of quasiparticle pairs in positive and negative energy states. We illustrate these features in two qualitatively different one-dimensional models, namely, a long, thin condensate with an outcoupler laser beam providing an ``atom sink,'' and a tight ring-shaped condensate. We have also simulated the creation of a stable sonic black hole by solving the Gross-Pitaevskii equation numerically for a condensate subject to a trapping potential which is adiabatically deformed. A sonic black hole could in this way be created experimentally with state-of-the-art or planned technology.
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References
How later papers used it
49 later papers cite it
1 later paper by other authors is listed below: 1 used its method or tool.
Uses its method or tool 1 paper
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Employed the idea of using coherent sources from this paper to study a finite size quasi-1D analogue model containing only a single analogue event horizon.
On the existence of steady-state black hole analogues in finite quasi-one-dimensional Bose-Einstein condensates (2021) · 0.84 · paraphrased: the licence does not allow quoting
How the literature uses it
24 arXiv papers cite this in 39 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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It is shown that, in dilute-gas Bose-Einstein condensates, there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior resembling that of gravitational black holes.
Sonic analog of gravitational black holes in Bose-Einstein condensates · 0.98
Papers citing it · 27 sentences without a confident label
Compares with it 1 paper
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Comparison of the results obtained with these boundary conditions [ref] with the results that we obtained here, leads to two important conclusions.
Emergent gravity: the BEC paradigm · Discussion · 1.00
Cites it as support 1 paper
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Nevertheless, even in a realistic BEC experiment, it should be possible to make a condensate sufficiently long in order for reflection at its boundaries to be negligible for the duration of the experiment [ref] .
Emergent gravity: the BEC paradigm · Summary and conclusions · 0.97
Cites it as background 8 papers
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* Bose-Einstein condensate: Garay, Anglin, Cirac, and Zoller showed that Bose-Einstein condensates can be set-up in stable configurations in order to constitute a sonic analogue BH [ref] .
Hydrodynamic simulations of rotating black holes · The late 90's to 2008: Going beyond the horizon in $^3He$ · 0.90
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More recent examples of analogue systems dedicated to the study of Hawking-like radiation are Bose-Einstein condensates [ref] ; surface waves in water flows [ref] ; and also nonlinear optics systems [ref] ; and quantum fluids of light [ref] .
Robustness of analogue Hawking radiation in cavities with moving boundaries · Introduction · 0.91
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Analogue gravity systems comprise Bose-Einstein condensates and other condensed matter systems [ref] , fluids [ref] , optical systems [ref] and even soap bubbles [ref] and capillary flow [ref] .
Cosmological analogies for geophysical flows, Lagrangians, and new analogue gravity systems · Conclusions · 0.85
Discussion
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