Quantum entanglement in analogue Hawking radiation: When is the final state nonseparable?

Busch, Xavier; Renaud, Philippe

doi:10.1103/physrevd.89.105024

Cited by 57 publications

(100 citation statements)

References 40 publications

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“…The Hawking spectrum |S ud2 | 2 shows a peaked structure, with a decaying envelope similar to that of non-resonant spectra, which are known to be approximated quite well in a wide range of frequencies by a Planck distribution [18,27,52,56] …”

Section: A Ideal Optical Latticementioning

confidence: 99%

“…However, due to the non-perfect stationarity of the GP wave function, the corresponding relative quasi-particle current for the quasi-stationary BdG modes is also inhomogeneous, which implies that the corresponding S-matrix is not pseudo-unitary. Nevertheless, since the region near ω = 0 is not interesting for the observation of the spontaneous Hawking effect [16,18,53], for practical purposes we can restrict the computations to the range ω > ω Λ , ω Λ being a numerically enforced cut-off of order ω Λ ∼ 10 −2 µ 0 ≫ σ(t) so condition (19) is fulfilled and the stationary BdG approximation (20) is expected to be valid.…”

Section: Quasi-stationary Scattering Modelmentioning

confidence: 99%

“…The role of the particle-antiparticle pair emitted at the horizon is here played by the spontaneous entangled emission of phonons into the subsonic and supersonic regions [9][10][11][12][13][14][15][16][17][18][19]. Indeed, sonic event horizons have already been experimentally produced by accelerating a condensate [20].…”

Section: Introductionmentioning

confidence: 99%

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Quantum Transport in the Black‐Hole Configuration of an Atom Condensate Outcoupled Through an Optical Lattice

2017

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The outcoupling of a Bose-Einstein condensate through an optical lattice provides an interesting scenario to study quantum transport phenomena or the analog Hawking effect as the system can reach a quasi-stationary black-hole configuration. We devote this work to characterize the quantum transport properties of quasi-particles on top of this black-hole configuration by computing the corresponding scattering matrix. We find that most of the features can be understood in terms of the usual Schrödinger scattering. In particular, a transmission band appears in the spectrum, with the normal-normal transmission dominating over the anomalous-normal one. We show that this picture still holds in a realistic experimental situation where the actual Gaussian envelope of the optical lattice is considered. A peaked resonant structure is displayed near the upper end of the transmission band, which suggests that the proposed setup is a good candidate to provide a clear signal of spontaneous Hawking radiation.

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Section: A Ideal Optical Latticementioning

confidence: 99%

Section: Quasi-stationary Scattering Modelmentioning

confidence: 99%

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Quantum Transport in the Black‐Hole Configuration of an Atom Condensate Outcoupled Through an Optical Lattice

2017

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“…It is not clear that we can infer robustness under dissipation from robustness under dispersion, since dissipation alters the past propagation of the outgoing modes even more drastically, and we might therefore expect that the deviations due to dissipation could differ considerably from those due to dispersion. Indeed, in a recent theoretical study of a modulated Dynamical Casimir Effect [23], it was found that a relatively small rate of dissipation can have a significant effect on the properties of the emitted radiation, in particular on the entanglement of the pairs produced, i.e., on the nonseparable character of their state, which is the property that allows us to distinguish the stimulated (classical) effect from the spontaneous effect due to vacuum fluctuations [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Hawking radiation in the presence of high-momentum dissipation

Robertson

Renaud

2015

Phys. Rev. D

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We study the Hawking radiation in field theories which break Lorentz invariance via dissipative effects above a certain energy scale. We assume that the additional degrees of freedom which cause dissipation are Gaussian and freely falling. The asymptotic spectrum and the correlations are extracted from the anticommutator of the radiation field. The singular behavior of the Green function found for relativistic fields as one point crosses the horizon is completely suppressed by dissipation. Yet, when the dissipative frequency scale is much larger than the surface gravity of the black hole, we show that the asymptotic observables acquire their standard (relativistic) vacuum expectation values. We explicitly compute the effects of dissipation on the spectrum and on the nonseparable character of the correlations when varying the dissipative scale, the extension of the near-horizon geometry, and the temperature of the environment.

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“…The solution of the previous indefinite integral is given in terms of elliptic functions. The resulting phase of the wave function is computed from Equation (19), obtaining:…”

Section: Solutions Of the Homogeneous Gross-pitaevskii Equationmentioning

confidence: 99%

Non-Linear Stationary Solutions in Realistic Models for Analog Black-Hole Lasers

Nova¹,

Muñoz²

2017

Universe

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From both a theoretical and an experimental point of view, Bose-Einstein condensates are good candidates for studying gravitational analogues of black holes and black-hole lasers. In particular, a recent experiment has shown that a black-hole laser configuration can be created in the laboratory. However, the most considered theoretical models for analog black-hole lasers are quite difficult to implement experimentally. In order to fill this gap, we devote this work to present more realistic models for black-hole lasers. For that purpose, we first prove that, by symmetrically extending every black-hole configuration, one can obtain a black-hole laser configuration with an arbitrarily large supersonic region. Based on this result, we propose the use of an attractive square well and a double delta-barrier, which can be implemented using standard experimental tools, for studying black-hole lasers. We also compute the different stationary states of these setups, identifying the true ground state of the system and discussing the relation between the obtained solutions and the appearance of dynamical instabilities.

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Quantum entanglement in analogue Hawking radiation: When is the final state nonseparable?

Cited by 57 publications

References 40 publications

Quantum Transport in the Black‐Hole Configuration of an Atom Condensate Outcoupled Through an Optical Lattice

Quantum Transport in the Black‐Hole Configuration of an Atom Condensate Outcoupled Through an Optical Lattice

Hawking radiation in the presence of high-momentum dissipation

Non-Linear Stationary Solutions in Realistic Models for Analog Black-Hole Lasers

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