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Towards analogue black hole merger
[Vers une fusion d’analogues de trous noirs]
Comptes Rendus. Physique, Online first (2024), pp. 1-16.

Nous étudions les effets des pertes dépendantes du vecteur d’onde sur les condensats de polaritons. Nous démontrons qu’à cause de ces pertes, un vortex unique devient le centre d’un flux convergent, ce qui permet de le décrire par une métrique de Kerr analogue à celle d’un trou noir, avec une origine évoluant dynamiquement. Pour une paire de vortex, nous trouvons un analogue de la 3ème loi de Kepler et estimons le taux d’émission des ondes gravitationnelles. Nous simulons un analogue de la phase d’inspiral se produisant lors d’une fusion de trous noirs. Notre travail suggère donc que les condensats de polaritons avec des vortex quantiques permettent de simuler une métrique dynamique entièrement auto-consistante, ce qui pourra permettre d’étudier de larges classes de problèmes.

We study the effects of the wavevector-dependent losses on polariton condensates. We demonstrate that because of these losses, a single vortex becomes a center of a convergent flow, which allows describing it by an analogue Kerr black hole metric with a dynamically evolving origin. For a pair of vortices, we find an analogue of the 3rd Kepler’s law and estimate the emission rate of the gravitational waves. We simulate an analogue of the inspiral phase of a black hole merger. Our work therefore suggests that polariton condensates with quantum vortices represent a setting with a fully self-consistent dynamical metric for broad analogue studies.

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DOI : 10.5802/crphys.178

Dmitry Solnyshkov 1, 2 ; Ismaël Septembre 1 ; Guillaume Malpuech 1

1 Institut Pascal, PHOTON-N2, Université Clermont Auvergne, CNRS, Clermont INP, F-63000 Clermont-Ferrand, France.
2 Institut Universitaire de France (IUF), F-75231 Paris, France.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Towards analogue black hole merger},
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Dmitry Solnyshkov; Ismaël Septembre; Guillaume Malpuech. Towards analogue black hole merger. Comptes Rendus. Physique, Online first (2024), pp. 1-16. doi : 10.5802/crphys.178.

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