[La méthode de l’effet tunnel pour les quanta de Hawking dans la gravité analogique]
Le rayonnement analogue de Hawking généré par les horizons acoustiques est désormais un phénomène bien établi, tant sur le plan théorique qu’expérimental. Son universalité, malgré les relations de dispersion modifiées qui caractérisent les modèles analogues, a été essentielle pour faire progresser notre compréhension de la robustesse de ce phénomène contre les modifications ultraviolettes de nos descriptions de l’espace-temps. Cependant, les approches théoriques précédentes, telles que la transformation de Bogoliubov reliant les états asymptotiques, ont quelque peu manqué d’une intuition physique directe concernant l’origine de cette robustesse et ses limites d’applicabilité. Pour remédier à cela, nous revisitons le rayonnement de Hawking analogue en utilisant la méthode de l’effet tunnel. Nous présentons un traitement unifié qui nous permet de considérer des courants avec ou sans horizons acoustiques et avec des relations de dispersion superluminales ou subluminales. Cette approche clarifie le mécanisme fondamental derrière la résilience du rayonnement de Hawking dans ces contextes et explique l’apparition surprenante d’excitations même dans des courants sous-critiques (super-critiques) avec des relations de dispersion subluminales (superluminales).
Analogue Hawking radiation from acoustic horizons is now a well-established phenomenon, both theoretically and experimentally. Its persistence, despite the modified dispersion relations characterising analogue models, has been crucial in advancing our understanding of the robustness of this phenomenon against ultraviolet modifications of our spacetime description. However, previous theoretical approaches, such as the Bogoliubov transformation relating asymptotic states, have somewhat lacked a straightforward physical intuition regarding the origin of this robustness and its limits of applicability. To address this, we revisit analogue Hawking radiation using the tunneling method. We present a unified treatment that allows us to consider flows with and without acoustic horizons and with superluminal or subluminal dispersion relations. This approach clarifies the fundamental mechanism behind the resilience of Hawking radiation in these settings and explains the puzzling occurrence of excitations even in subcritical (supercritical) flows with subluminal (superluminal) dispersion relations.
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Mots-clés : Gravité analogique, Production des particules, Rayonnement de Hawking, Méthode de l’effet tunnel, Relations de dispersion modifiées
Francesco Del Porro 1, 2, 3 ; Stefano Liberati 1, 2, 3 ; Marc Schneider 1, 2, 3
CC-BY 4.0
@article{CRPHYS_2024__25_S2_A13_0,
author = {Francesco Del Porro and Stefano Liberati and Marc Schneider},
title = {Tunneling method for {Hawking} quanta in analogue gravity},
journal = {Comptes Rendus. Physique},
publisher = {Acad\'emie des sciences, Paris},
year = {2024},
doi = {10.5802/crphys.239},
language = {en},
note = {Online first},
}
Francesco Del Porro; Stefano Liberati; Marc Schneider. Tunneling method for Hawking quanta in analogue gravity. Comptes Rendus. Physique, Online first (2024), pp. 1-27. doi : 10.5802/crphys.239.
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