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Stimulated Hawking effect and quasinormal mode resonance in a polariton simulator of field theory on curved spacetime
[Effet Hawking stimulé et résonance d’un mode quasinormal dans un simulateur polaritonique de théorie des champs en espace courbe]
Comptes Rendus. Physique, Online first (2024), pp. 1-12

The Hawking effect amplifies fluctuations in the vicinity of horizons, both in black holes and in analogue platforms. Here, we consider a polariton simulator and numerically examine the stimulated Hawking effect using a coherent probe incident on the horizon from the exterior. We implement an experimentally realistic effective spacetime that supports a quasinormal mode (QNM) in the vicinity of the horizon. We find that the stimulated Hawking effect manifests as transmission into a negative-energy Bogoliubov channel inside the horizon, consistent with pseudo-unitary Bogoliubov scattering. Moreover, transmission across the horizon peaks at the QNM frequency. The computed spectral signatures provide a practical guide for future experimental investigations of the Hawking effect and its interplay with QNMs, an open question in quantum field theory in curved spacetime.

L’effet Hawking amplifie les fluctuations au voisinage des horizons, aussi bien dans les trous noirs astrophysiques que dans leurs plateformes analogues. Nous considérons ici un simulateur polaritonique et examinons numériquement l’effet de Hawking stimulé par une sonde cohérente incidente sur l’horizon depuis l’extérieur. Nous considérons un espace-temps effectif expérimentalement réaliste qui supporte un mode quasinormal (QNM) au voisinage de l’horizon. Nous montrons que l’effet Hawking stimulé se manifeste par une transmission vers un canal de Bogolioubov d’énergie négative à l’intérieur de l’horizon, conformément à une diffusion de Bogolioubov pseudo-unitaire. De plus, la transmission à travers l’horizon présente un maximum à la fréquence du QNM. Les signatures spectrales calculées fournissent un guide pratique pour de futures investigations expérimentales de l’effet Hawking et de son interaction avec les QNMs, question encore ouverte dans le cadre de la théorie quantique des champs en espace-temps courbe.

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DOI : 10.5802/crphys.278
Keywords: Hawking radiation, analogue gravity, quantum fluids of light, quasinormal modes, numerical simulations
Mots-clés : Effet Hawking, gravité analogue, théorie quantique des champs, polaritons en microcavité semiconductrice, simulation numérique, modes quasinormaux

Mattheus Burkhard  1 , 2   ; Malte Kroj  3   ; Kévin Falque  3   ; Alberto Bramati  3   ; Iacopo Carusotto  1   ; Maxime J. Jacquet  3

1 Pitaevskii BEC Center, CNR-INO and Dipartimento di Fisica, Università di Trento, 38123 Trento, Italy
2 Université Paris Cité, CNRS, Matériaux et Phénomènes Quantiques, 75013 Paris, France
3 Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-Université PSL, Collège de France, Paris 75005, France
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {Stimulated {Hawking} effect and quasinormal mode resonance in a polariton simulator of field theory on curved spacetime},
     journal = {Comptes Rendus. Physique},
     year = {2024},
     publisher = {Acad\'emie des sciences, Paris},
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Mattheus Burkhard; Malte Kroj; Kévin Falque; Alberto Bramati; Iacopo Carusotto; Maxime J. Jacquet. Stimulated Hawking effect and quasinormal mode resonance in a polariton simulator of field theory on curved spacetime. Comptes Rendus. Physique, Online first (2024), pp. 1-12. doi: 10.5802/crphys.278

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