Black hole radiation in Bose-Einstein condensates

We study the phonon fluxes emitted when the condensate velocity crosses the speed of sound, i.e., in backgrounds which are analogue to that of a black hole. We focus on elongated one dimensional condensates, and on stationary flows. Our theoretical analysis and numerical results are based on the Bogoliubov-de~Gennes equation without any further approximation. The spectral properties of the fluxes and of the long distance density-density correlations are obtained, with and without an initial temperature. In realistic conditions, we show that the condensate temperature dominates the fluxes, and thus hides the presence of the spontaneous emission (the Hawking effect). We also explain why the temperature amplifies the long distance correlations which are ntrinsic to this effect. This confirms that the correlations pattern offers a neat signature of the Hawking effect. Optimal conditions to observe the pattern are discussed. Applications to flows associated with white holes are briefly considered.

References(39)

Figures(22)

Experimental black hole evaporation

W.G. Unruh
(
- British Columbia U.
)

- Phys.Rev.Lett. 46 (1981) 1351-1353
•
DOI:
- 10.1103/PhysRevLett.46.1351

Black hole evaporation and ultrashort distances

Theodore Jacobson
(
- Maryland U.
)

- Phys.Rev.D 44 (1991) 1731-1739
•
DOI:
- 10.1103/PhysRevD.44.1731

Sonic analog of black holes and the effects of high frequencies on black hole evaporation

W.G. Unruh
(
- British Columbia U.
)

- Phys.Rev.D 51 (1995) 2827-2838
•
e-Print:
- gr-qc/9409008
•
DOI:
- 10.1103/PhysRevD.51.2827

Hawking radiation without transPlanckian frequencies

R. Brout
(
- Brussels U.
)
,
S. Massar
(
- Brussels U.
)
,
R. Parentani
(
- Ecole Normale Superieure
)
,
P. Spindel
(
- UMH, Mons
)

- Phys.Rev.D 52 (1995) 4559-4568
•
e-Print:
- hep-th/9506121
•
DOI:
- 10.1103/PhysRevD.52.4559

Hawking spectrum and high frequency dispersion

Steven Corley
(
- Utrecht U. and
- Maryland U.
)
,
Ted Jacobson
(
- Utrecht U. and
- Maryland U.
)

- Phys.Rev.D 54 (1996) 1568-1586
•
e-Print:
- hep-th/9601073
•
DOI:
- 10.1103/PhysRevD.54.1568

Analogue gravity

Carlos Barcelo
(
- IAA, Granada
)
,
Stefano Liberati
(
- INFN, Trieste and
- SISSA, Trieste
)
,
Matt Visser
(
- Victoria U., Wellington
)

- Living Rev.Rel. 8 (2005) 12,
- Living Rev.Rel. 14 (2011) 3
•
e-Print:
- gr-qc/0505065
•
DOI:
- 10.12942/lrr-2005-12

Black holes in Bose-Einstein condensates

L.J. Garay
(
- Innsbruck U. and
- Madrid, IMAFF
)
,
J.R. Anglin
(
- Innsbruck U. and
- Harvard U.
)
,
J.I. Cirac
(
- Innsbruck U.
)
,
P. Zoller
(
- Innsbruck U.
)

- Phys.Rev.Lett. 85 (2000) 4643-4647
•
e-Print:
- gr-qc/0002015
•
DOI:
- 10.1103/PhysRevLett.85.4643

Non-local density correlations as signal of Hawking radiation in BEC acoustic black holes

Roberto Balbinot
(
- Bologna U. and
- INFN, Bologna
)
,
Alessandro Fabbri
(
- Valencia U. and
- Valencia U., IFIC
)
,
Serena Fagnocchi
(
- Enrico Fermi Ctr., Rome and
- Bologna U. and
- INFN, Bologna
)
,
Alessio Recati
(
- INFM, Trento
)
,
Iacopo Carusotto
(
- INFM, Trento
)

- Phys.Rev.A 78 (2008) 021603
•
e-Print:
- 0711.4520
•
DOI:
- 10.1103/PhysRevA.78.021603

Numerical observation of Hawking radiation from acoustic black holes in atomic BECs

Iacopo Carusotto
(
- INFM, Trento and
- Trento U.
)
,
Serena Fagnocchi
(
- Enrico Fermi Ctr., Rome and
- Bologna U. and
- INFN, Bologna
)
,
Alessio Recati
(
- INFM, Trento and
- Trento U.
)
,
Roberto Balbinot
(
- Bologna U. and
- INFN, Bologna
)
,
Alessandro Fabbri
(
- Valencia U. and
- Valencia U., IFIC
)

- New J.Phys. 10 (2008) 103001
•
e-Print:
- 0803.0507
•
DOI:
- 10.1088/1367-2630/10/10/103001

Theory of Bose-Einstein condensation in trapped gases

Franco Dalfovo
(
- Trento U. and
- Unlisted
)
,
Stefano Giorgini
(
- Trento U. and
- Unlisted
)
,
Lev P. Pitaevskii
(
- Trento U. and
- Unlisted and
- Technion and
- Moscow, Inst. Phys. Problems
)
,
Sandro Stringari
(
- Trento U. and
- Unlisted
)

- Rev.Mod.Phys. 71 (1999) 463-512
•
e-Print:
- cond-mat/9806038
•
DOI:
- 10.1103/RevModPhys.71.463

Phonon background versus analogue Hawking radiation in Bose-Einstein condensates

S. Wuster
(
- Dresden, Max Planck Inst.
)

- Phys.Rev.A 78 (2008) 021601
•
e-Print:
- 0805.1358
•
DOI:
- 10.1103/PhysRevA.78.021601

Hawking radiation from acoustic black holes, short distance and back-reaction effects

R. Balbinot
(
- Bologna U. and
- INFN, Bologna
)
,
A. Fabbri
(
- Valencia U. and
- Valencia U., IFIC
)
,
S. Fagnocchi
(
- Enrico Fermi Ctr., Rome and
- Bologna U. and
- INFN, Bologna
)
,
R. Parentani
(
- Orsay, LPT
)

- Riv.Nuovo Cim. 28 (2005) 3, 1-55
•
e-Print:
- gr-qc/0601079
•
DOI:
- 10.1393/ncr/i2006-10001-9

Black/White hole radiation from dispersive theories

Jean Macher
(
- Orsay, LPT
)
,
Renaud Parentani
(
- Orsay, LPT
)

- Phys.Rev.D 79 (2009) 124008
•
e-Print:
- 0903.2224
•
DOI:
- 10.1103/PhysRevD.79.124008

Analogue model of a FRW universe in Bose-Einstein condensates: Application of the classical field method

Piyush Jain
(
- Victoria U., Wellington
)
,
Silke Weinfurtner
(
- Victoria U., Wellington
)
,
Matt Visser
(
- Victoria U., Wellington
)
,
C.W. Gardiner
(
- Otago U.
)

- Phys.Rev.A 76 (2007) 033616
•
e-Print:
- 0705.2077
•
DOI:
- 10.1103/PhysRevA.76.033616

Cosmological particle production in emergent rainbow spacetimes

Silke Weinfurtner
(
- British Columbia U. and
- Victoria U., Wellington
)
,
Piyush Jain
(
- Victoria U., Wellington and
- Otago U.
)
,
Matt Visser
(
- Victoria U., Wellington
)
,
C.W. Gardiner
(
- Otago U.
)

- Class.Quant.Grav. 26 (2009) 065012
•
e-Print:
- 0801.2673
•
DOI:
- 10.1088/0264-9381/26/6/065012

Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions

Viatcheslav F. Mukhanov
(
- Brown U. and
- Moscow, INR
)
,
H.A. Feldman
(
- Canadian Inst. Theor. Astrophys.
)
,
Robert H. Brandenberger
(
- Brown U.
)

- Phys.Rept. 215 (1992) 203-333
•
DOI:
- 10.1016/0370-1573(92)90044-Z

Density correlations and dynamical Casimir emission of Bogoliubov phonons in modulated atomic Bose-Einstein condensates

Iacopo Carusotto
(
- INFM, Trento and
- Trento U.
)
,
Roberto Balbinot
(
- Bologna U. and
- INFN, Bologna
)
,
Alessandro Fabbri
(
- Valencia U. and
- Valencia U., IFIC
)
,
Alessio Recati
(
- INFM, Trento and
- Trento U. and
- Munich, Tech. U.
)

- Eur.Phys.J.D 56 (2010) 391-404
•
e-Print:
- 0907.2314
•
DOI:
- 10.1140/epjd/e2009-00314-3

- Riv.Nuovo Cim. 28 1

A Primer for black hole quantum physics

R. Brout
(
- Brussels U.
)
,
S. Massar
(
- Brussels U.
)
,
R. Parentani
(
- Ecole Normale Superieure
)
,
Ph. Spindel
(
- UMH, Mons
)

- Phys.Rept. 260 (1995) 329-454
•
e-Print:
- 0710.4345
•
DOI:
- 10.1016/0370-1573(95)00008-5

Black hole lasers

Steven Corley
(
- Alberta U.
)
,
Ted Jacobson
(
- Maryland U.
)

- Phys.Rev.D 59 (1999) 124011
•
e-Print:
- hep-th/9806203
•
DOI:
- 10.1103/PhysRevD.59.124011

From vacuum fluctuations to radiation. 2. Black holes

S. Massar
(
- Tel Aviv U.
)
,
R. Parentani
(
- Tours U.
)

- Phys.Rev.D 54 (1996) 7444-7458
•
DOI:
- 10.1103/PhysRevD.54.7444

Stimulated Emission Effects in Particle Creation Near Black Holes

Robert M. Wald
(
- Chicago U., EFI
)

- Phys.Rev.D 13 (1976) 3176-3182
•
DOI:
- 10.1103/PhysRevD.13.3176

REFLECTIONS ON MOVING MIRRORS

- Phys.Rev.D 36 (1987) 2327-2335
•
DOI:
- 10.1103/PhysRevD.36.2327

The Lifetime of a Black Hole

- Phys.Rev.D 36 (1987) 2336
•
DOI:
- 10.1103/PhysRevD.36.2336

Black Hole Lasers Revisited

- Quantum Analogues: From Phase Transitions to Black Holes and Cosmology, ed. by William G. Unruh and Ralf Schutzhold (Springer, Berlin, 2007)
•
e-Print:
- 0803.0669

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