Quantum Signature of Analog Hawking Radiation in Momentum Space

Boiron, Denis; Fabbri, Alessandro; Larré, Pierre-Élie; Pavloff, Nicolas; Westbrook, Christoph I; Ziń, P.

doi:10.1103/physrevlett.115.025301

Cited by 52 publications

(62 citation statements)

References 54 publications

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“…The interested reader will find in Appendix A a description of the full evolution of the system (both early-and latetime behavior) in terms of g 2 (k) (see Eq. (A.1)), which is the observable commonly used after TOF experiments [9,46,47]. Figure 7 shows the atom number spectrum (as well asη k of Eq.…”

Section: Late-time Behaviormentioning

confidence: 99%

Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates

2018

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We present a numerical study of the dynamical effects following a sudden change of the transverse trapping frequency in an elongated Bose-Einstein condensate, which induces periodic oscillations of the radial density. At early times, we observe an exponential growth of the number of resonant longitudinal phonons, in agreement with the predictions of the Bogoliubov-de Gennes treatment. We then observe an ordered sequence of phenomena induced by the nonlinearities of the system. The first is a loss of the nonseparability of the resonant phonon pairs. This is followed by the saturation of the exponential growth and a strong depletion of condensed atoms. Notably, these effects are well-described by effective 1D dynamics, and are hardly affected by the damping of the radial oscillations. Finally, the atomic spectrum becomes broad, featureless and almost incoherent, in agreement with experimental results. The link between this sequence of events and the preheating scenario in inflationary cosmology is striking, as is the similarity of techniques used to study them. arXiv:1802.00739v2 [cond-mat.quant-gas] 3 Sep 2018

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Section: Late-time Behaviormentioning

confidence: 99%

Nonlinearities induced by parametric resonance in effectively 1D atomic Bose condensates

2018

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“…A recent work has studied the measurement of quartic CS violations [47] using phonon evaporation, following a related work on the dynamical Casimir effect [48]. On the other hand, the detection of entanglement using the GPH criterion was analyzed in [23] using density fluctuations or the optomechanical detection of phonons.…”

Section: Gaussianmentioning

confidence: 99%

Entanglement and violation of classical inequalities in the Hawking radiation of flowing atom condensates

2015

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We consider a sonic black-hole scenario where an atom condensate flows through a subsonicsupersonic interface. We discuss several criteria that reveal the existence of non-classical correlations resulting from the quantum character of the spontaneous Hawking radiation (HR). We unify previous general work as applied to HR analogs. We investigate the measurability of the various indicators and conclude that, within a class of detection schemes, only the violation of quadratic Cauchy-Schwarz inequalities can be discerned. We show numerical results that further support the viability of measuring deep quantum correlations in concrete scenarios.

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“…The first known as analog gravity exploits the similarity between Navier-Stocks and Einstein-Hilbert equations to engineer the motion of classical and quantum fluids in artificial space-times (see [62][63][64] for a review). In particular the Unruh effect and the Hawking radiation were studied with phononic quasiparticles in a Bose-Einstein condensate [65][66][67][68][69][70][71][72][73][74][75][76][77], photons [78][79][80][81] and even classical surface waves on moving water [82,83] (for very recent ultracold atom experimental analogues of the cosmological expansion see [84,85]).…”

Section: Introductionmentioning

confidence: 99%