Departing from Thermality of Analogue Hawking Radiation in a Bose-Einstein Condensate

Isoard, Mathieu; Pavloff, Nicolas

doi:10.1103/physrevlett.124.060401

Cited by 58 publications

(48 citation statements)

References 55 publications

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“…As in the astrophysical case [3], the paired spontaneous emission in analogues results from mixing of field modes of positive and negative Klein-Gordon norm at the horizon [1]. Thus, pairs from horizons have been extensively studied for fluid systems, in which their nonseparability in various dispersive regimes has been investigated [16][17][18][19][20][21], and are considered an unmistakable signature of the Hawking effect [22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Analytical description of quantum emission in optical analogs to gravity

Jacquet

König

2020

Phys. Rev. A

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We consider a moving refractive index perturbation in an optical medium as an optical analogue to waves under the influence of gravity. We describe the dielectric medium by the Lagrangian of the Hopfield model. We supplement the field theory in curved spacetime for this model to solve the scattering problem for all modes and frequencies analytically. Because of dispersion, the kinematic scenario of the field modes may contain optical event horizons for some frequencies. We calculate the spectra of spontaneous emission in the frame co-moving with the perturbation and in the laboratory frame. We also calculate the spectrally-resolved photon number correlations in either frame. The emitted multimode field comes in different types depending on the presence of horizons. We show that these types are robust against changes in the system parameters and thus are genuine features of optical and non-optical analogues. These methods and findings pave the way to new observations of analogue gravity in dispersive systems.

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Section: Introductionmentioning

confidence: 99%

Analytical description of quantum emission in optical analogs to gravity

Jacquet

König

2020

Phys. Rev. A

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“…In the moving frame -in which the fluid is at rest -the dispersion relation is of the generic form [9,37,63]…”

Section: A Dispersion and Spacetime Flow In A Becmentioning

confidence: 99%

“…After e.g. [33,37,64], we call these modes 'u|out' and 'u|in', respectively. In the low-potential (high flow velocity) region, the number of modes varies as a function of frequency.…”

Section: A Dispersion and Spacetime Flow In A Becmentioning

confidence: 99%

“…For those systems featuring a static horizon, the classical frequency shifting of waves at the horizon has been the traditional benchmark to demonstrate analogue gravity physics, although scattering of waves that could not be associated with a horizon has also been observed [6,11,13,23,24]. Correlated pairs of particles from horizons are considered an unmistakable signature of the quantum Hawking effect [26,27], and have therefore been extensively studied for fluid systems, in which their entanglement in various dispersive regimes has been investigated [28][29][30][31][32][33][34][35][36][37]. However, these studies have not contrasted horizon and horizonless spontaneous emission, and neither has this been done in other analogue systems and with many modes.…”

Section: Introductionmentioning

confidence: 99%

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The influence of spacetime curvature on quantum emission in optical analogues to gravity

Jacquet

Koenig

2020

SciPost Phys. Core

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Quantum fluctuations on curved spacetimes cause the emission of pairs of particles from the quantum vacuum, as in the Hawking effect from black holes. We use an optical analogue to gravity to investigate the influence of the curvature on quantum emission. Due to dispersion, the spacetime curvature varies with frequency here. We analytically calculate for all frequencies the particle flux, correlations and entanglement. We find that horizons increase the flux with a characteristic spectral shape. The photon number correlations transition from multi- to two-mode, with close to maximal entanglement. The quantum state is a diagnostic for the mode conversion in laboratory tests of quantum field theory on curved spacetimes.

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“…These are called evanescent modes, [ 33,36 ] and although their norm is zero, it is important to include them in scattering calculations, as in ref. [37]. These additional solutions describe exponentially growing or decreasing modes, as their τ‐dependence in Equation (24) is given by

{normale}^{- i ω τ} = {normale}^{- i (ω_{R} + i ω_{I}) τ} = {normale}^{ω_{I} τ} {normale}^{- i ω_{R} τ}

…”

Section: Instabilitiesmentioning

confidence: 99%

Instabilities in an Optical Black‐Hole Laser

Rincon‐Estrada

Bermúdez

2020

Annalen der Physik

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The Hamiltonian of optical fields in a nonlinear dispersive fiber is studied. Quantum field fluctuations are spontaneously created close to an optical event horizon through the analog Hawking effect. The simplest model is considered for an optical black‐hole laser, where the Hawking radiation is produced and amplified inside a cavity formed by two horizons: a black hole and a white hole. It is found that resonant Hawking radiation originates from a discrete set of instabilities and tunnels out of the horizons. Finally, the numerical results are compared with the resonance and instability conditions and a phenomenological model is developed to give a clear physical picture.

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Departing from Thermality of Analogue Hawking Radiation in a Bose-Einstein Condensate

Cited by 58 publications

References 55 publications

Analytical description of quantum emission in optical analogs to gravity

Analytical description of quantum emission in optical analogs to gravity

The influence of spacetime curvature on quantum emission in optical analogues to gravity

Instabilities in an Optical Black‐Hole Laser

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