Numerical study of a recent black-hole lasing experiment

Tettamanti, Manuele; Cacciatori, Sergio L.; Parola, Alberto; Carusotto, Iacopo

doi:10.1209/0295-5075/114/60011

Cited by 38 publications

(82 citation statements)

References 33 publications

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“…This is similar to the pattern we have seen induced by number fluctuations on the WH side of the cavity, but not on the BH side. It should also be noted that the step potential fluctuations introduced in [6] were more than two orders of magnitude larger than in the experiment [8], whereas the number fluctuations we have introduced are comparable to those encountered in BEC experiments. Ref.…”

Section: Comparison With Other Simulated Resultssupporting

confidence: 60%

“…a zero frequency standing wave arises in the cavity, extending from the WH to the BH [6][7][8], as shown in Fig. 1(a-d) and Fig.…”

mentioning

confidence: 91%

“…For a single solution of the GP equation, the correlation function vanishes, but nonvanishing correlation functions displaying a checkerboard feature were found in Refs. [6,8], when including random fluctuations around the initial mean field wave function [6,8] or in the height of the step potential [6]. The latter affects the location of the WH horizon.…”

mentioning

confidence: 99%

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Induced density correlations in a sonic black hole condensate

et al. 2017

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Analog black/white hole pairs, consisting of a region of supersonic flow, have been achieved in a recent experiment by J. Steinhauer using an elongated Bose-Einstein condensate. A growing standing density wave, and a checkerboard feature in the densitydensity correlation function, were observed in the supersonic region. We model the density-density correlation function, taking into account both quantum fluctuations and the shot-to-shot variation of atom number normally present in ultracold-atom experiments. We find that quantum fluctuations alone produce some, but not all, of the features of the correlation function, whereas atom-number fluctuation alone can produce all the observed features, and agreement is best when both are included. In both cases, the density-density correlation is not intrinsic to the fluctuations, but rather is induced by modulation of the standing wave caused by the fluctuations.

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Section: Comparison With Other Simulated Resultssupporting

confidence: 60%

“…a zero frequency standing wave arises in the cavity, extending from the WH to the BH [6][7][8], as shown in Fig. 1(a-d) and Fig.…”

mentioning

confidence: 91%

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Induced density correlations in a sonic black hole condensate

et al. 2017

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“…The previous equation has been shown to describe quite well the effective 1D dynamics of a trapped condensate in a wide range of situations [22,65]. Due to the chosen normalization, n(x, t) = |ψ(x, t)| 2 is the 1D density…”

Section: B Time-dependent Scenariosmentioning

confidence: 90%

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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“…In addition, there should not be substantial differences in the linear regime with respect to the usual flat-profile BHL. Moreover, thinking in a realistic implementation, the computed stationary solutions should still govern the late time dynamics once the system enters into the non-linear regime [27,29] regardless of the specific mechanism giving rise to the initial growth of the instability at short times [32][33][34].…”

Section: General Relation Between Black Holes and Black-hole Lasersmentioning

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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Numerical study of a recent black-hole lasing experiment

Cited by 38 publications

References 33 publications

Induced density correlations in a sonic black hole condensate

Induced density correlations in a sonic black hole condensate

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

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

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