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Author |
Balbinot, R.; Fabbri, A.; Ciliberto, G.; Pavloff, N. |

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Title |
Backreaction equations for 1+1 dimensional BEC sonic black holes |
Type |
Journal Article |
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Year |
2025 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
112 |
Issue |
12 |
Pages |
L121703 - 5pp |
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Abstract |
As in the gravitational context, one of the most challenging open questions in analogue black holes formed in Bose-Einstein condensates concerns the backreaction of Hawking-like radiation on the condensate and its subsequent evolution. In this work we derive the basic equations describing this backreaction within the density-phase formalism, which avoids infrared divergences and is particularly well suited to one-dimensional configurations. |
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[Balbinot, Roberto] Univ Bologna, Dipartimento Fis & Astron, Via Irnerio 46, I-40126 Bologna, Italy |
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Amer Physical Soc |
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English |
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2470-0010 |
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WOS:001645048600010 |
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no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
7003 |
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Author |
Ciliberto, G.; Balbinot, R.; Fabbri, A.; Pavloff, N. |

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Title |
Quantum backreaction in an analog black hole |
Type |
Journal Article |
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Year |
2025 |
Publication |
Physical Review A |
Abbreviated Journal |
Phys. Rev. A |
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Volume |
112 |
Issue |
6 |
Pages |
063323 - 17pp |
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Abstract |
We extend the Gross-Pitaevskii equation to incorporate the effect of quantum fluctuations onto the flow of a weakly interacting Bose-Einstein condensate. Applying this framework to an analog black hole in a quasione-dimensional, transonic flow, we investigate how acoustic Hawking radiation backreacts on the background condensate. Our results point to the emergence of stationary density and velocity undulations in the supersonic region (analogous to the black-hole interior) and enable to evaluate the change in upstream and downstream Mach numbers caused by Hawking radiation. These findings provide new insight into the interplay between quantum fluctuations and analog gravity in Bose-Einstein condensates. |
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Address |
[Ciliberto, G.] Sorbonne Univ, CNRS, Lab Informat Paris 6, 4 Pl Jussieu, F-75005 Paris, France |
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Amer Physical Soc |
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ISSN |
2469-9926 |
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Notes |
WOS:001653529900007 |
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no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
7021 |
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Author |
Peñalver, D.; De Vito, M.; Balbinot, R.; Fabbri, A. |

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Title |
Acoustic black holes in BECs with an extended sonic region |
Type |
Journal Article |
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Year |
2025 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
112 |
Issue |
2 |
Pages |
L021701 - 5pp |
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Abstract |
In the context of Hawking-like radiation in sonic black holes formed by Bose-Einstein condensates we investigate the modifications of the emission spectrum caused by a finite width of the sonic transition region connecting the subsonic to supersonic flow. |
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Address |
[Penalver, Daniel; Fabbri, Alessandro] Univ Valencia, Dept Fis Teor, CSIC, Calle Dr Moliner 50, Burjassot 46100, Spain, Email: Daniel.Penalver@ific.uv.es; |
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Amer Physical Soc |
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2470-0010 |
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Notes |
WOS:001538661300005 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
6774 |
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Author |
Anderson, P.R.; Balbinot, R.; Dudley, R.A.; Fabbri, A.; Peake, A.; Peñalver, D. |

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Title |
Fine structure of the peaks of the correlation function in acoustic black holes: A complete analytical model |
Type |
Journal Article |
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Year |
2024 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
110 |
Issue |
12 |
Pages |
125024 - 11pp |
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Abstract |
The detailed structure of the peaks appearing in the density-density correlation function for an acoustic black hole formed by a Bose-Einstein condensate is analytically discussed for a particular, but physically meaningful, sound velocity profile that allows the field modes to be exactly computed. |
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[Anderson, Paul R.] Wake Forest Univ, Dept Phys, Winston Salem, NC 27109 USA, Email: anderson@wfu.edu; |
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Amer Physical Soc |
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2470-0010 |
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Notes |
WOS:001386395400003 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
6403 |
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Author |
Balbinot, R.; Fabbri, A. |

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Title |
The Unruh Vacuum and the “In-Vacuum” in Reissner-Nordström Spacetime |
Type |
Journal Article |
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Year |
2024 |
Publication |
Universe |
Abbreviated Journal |
Universe |
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Volume |
10 |
Issue |
1 |
Pages |
18 - 14pp |
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Keywords |
Hawking radiation; Unruh vacuum; Reissner-Nordstrom black holes |
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Abstract |
The Unruh vacuum is widely used as a quantum state to describe black hole evaporation since, near the horizon, it reproduces the physical state of a quantum field, the so-called “in-vacuum”, in the case where a black hole is formed by gravitational collapse. We examine the relation between these two quantum states in the background spacetime of a Reissner-Nordstrom black hole (both extremal and not), highlighting the similarities and striking differences. |
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Address |
[Balbinot, Roberto] Univ Bologna, Dipartimento Fis, Via Irnerio 46, I-40126 Bologna, Italy, Email: roberto.balbinot@unibo.it; |
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Mdpi |
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Notes |
WOS:001151025300001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5914 |
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Author |
Balbinot, R.; Fabbri, A. |

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Title |
The Hawking Effect in the Particles-Partners Correlations |
Type |
Journal Article |
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Year |
2023 |
Publication |
Physics |
Abbreviated Journal |
Physics |
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Volume |
5 |
Issue |
4 |
Pages |
968-982 |
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Keywords |
quantum fields in curved space; black holes; Hawking radiation; correlations across the horizon |
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Abstract |
We analyze the correlations functions across the horizon in Hawking black hole radiation to reveal the correlations between Hawking particles and their partners. The effects of the underlying space-time on this are shown in various examples ranging from acoustic black holes to regular black holes. |
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Address |
[Balbinot, Roberto] Univ Bologna, Dipartimento Fis, Via Irnerio 46, I-40126 Bologna, Italy, Email: roberto.balbinot@unibo.it; |
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Mdpi |
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English |
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Notes |
WOS:001130983900001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5858 |
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| Permanent link to this record |
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Author |
Balbinot, R.; Fabbri, A. |

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Title |
Quantum energy momentum tensor and equal time correlations in a Reissner-Nordström black hole |
Type |
Journal Article |
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Year |
2023 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
108 |
Issue |
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Pages |
045004 - 9pp |
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Abstract |
We consider a Reissner-Nordström black hole formed by the collapse of a charged null shell. The renormalized expectation values of the energy-momentum tensor operator for a massless scalar field propagating in the two-dimensional section of this spacetime are given. We then analyze the across-the-horizon correlations of the related energy density operator for free-falling observers to reveal the correlations between the Hawking particles and their interior partners. |
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Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
6093 |
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Author |
Balbinot, R.; Fabbri, A. |

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Title |
Quantum correlations across the horizon in acoustic and gravitational black holes |
Type |
Journal Article |
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Year |
2022 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
105 |
Issue |
4 |
Pages |
045010 - 20pp |
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Keywords |
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Abstract |
We investigate, within the framework of quantum field theory in curved space, the correlations across the horizon of a black hole in order to highlight the particle-partner pair creation mechanism at the origin of Hawking radiation. The analysis concerns both acoustic black holes, formed by Bose-Einstein condensates, and gravitational black holes. More precisely, we have considered a typical acoustic black hole metric with two asymptotic homogeneous regions and the Schwarzschild metric as describing a gravitational black hole. By considering equal-time correlation functions, we find a striking disagreement between the two cases: the expected characteristic peak centered along the trajectories of the Hawking particles and their partners seems to appear only for the acoustic black hole and not for the gravitational Schwarzschild one. The reason for that is the existence of a quantum atmosphere displaced from the horizon as the locus of origin of Hawking radiation together, and this is the crucial aspect, with the presence of a central singularity in the gravitational case swallowing everything is trapped inside the horizon. Correlations, however, are not absent in the gravitational case; to see them, one simply has to consider correlation functions at unequal times, which indeed display the expected peak. |
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Address |
[Balbinot, Roberto] Univ Bologna, Dipartimento Fis, Bologna, Italy, Email: balbinot@bo.infn.it; |
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Publisher |
Amer Physical Soc |
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English |
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ISSN |
2470-0010 |
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Notes |
WOS:000761172600005 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5156 |
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| Permanent link to this record |
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Author |
Dudley, R.A.; Fabbri, A.; Anderson, P.R.; Balbinot, R. |

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Title |
Correlations between a Hawking particle and its partner in a 1+1D Bose-Einstein condensate analog black hole |
Type |
Journal Article |
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Year |
2020 |
Publication |
Physical Review D |
Abbreviated Journal |
Phys. Rev. D |
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Volume |
102 |
Issue |
10 |
Pages |
105005 - 12pp |
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Keywords |
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Abstract |
The Fourier transform of the density-density correlation function in a Bose-Einstein condensate (BEC) analog black hole is a useful tool to investigate correlations between the Hawking particles and their partners. It can be expressed in terms of <(out)(a) over cap (ext)(up) (out)(a) over cap (int)(up)> where (out)(a) over cap (ext)(up) is the annihilation operator for the Hawking particle and (out)(a) over cap (int)(up) is the corresponding one for the partner. This basic quantity is calculated for three different models for the BEC flow. It is shown that in each model the inclusion of the effective potential in the mode equations makes a significant difference. Furthermore, particle production induced by this effective potential in the interior of the black hole is studied for each model and shown to be nonthermal. An interesting peak that is related to the particle production and is present in some models is discussed. |
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Address |
[Dudley, Richard A.; Anderson, Paul R.] Wake Forest Univ, Dept Phys, Winston Salem, NC 27109 USA, Email: dudlra13@wfu.edu; |
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Amer Physical Soc |
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English |
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ISSN |
2470-0010 |
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Notes |
WOS:000584963300005 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4590 |
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| Permanent link to this record |
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Author |
Fabbri, A.; Balbinot, R. |

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Title |
Ramp-up of Hawking Radiation in Bose-Einstein-Condensate Analog Black Holes |
Type |
Journal Article |
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Year |
2021 |
Publication |
Physical Review Letters |
Abbreviated Journal |
Phys. Rev. Lett. |
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Volume |
126 |
Issue |
11 |
Pages |
111301 - 6pp |
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Keywords |
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Abstract |
Inspired by a recent experiment by Steinhauer and co-workers, we present a simple model which describes the formation of an acoustic black hole in a Bose-Einstein condensate, allowing an analytical computation of the evolution in time of the corresponding density-density correlator. We show the emergence of analog Hawking radiation out of a “quantum atmosphere” region significantly displaced from the horizon. This is quantitatively studied both at T = 0 and even in the presence of an initial temperature T, as is always the case experimentally. |
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Address |
[Fabbri, Alessandro] Ctr Mixto Univ Valencia, CSIC, Dept Fis Teor, C Dr Moliner 50, Burjassot 46100, Spain, Email: afabbri@ific.uv.es; |
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Publisher |
Amer Physical Soc |
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English |
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0031-9007 |
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Notes |
WOS:000652825400006 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4842 |
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