[Rayonnement de Hawking par l’horizon analogue de spin dans un condensat de Bose–Einstein à deux composantes]
Nous étudions théoriquement l’émission de Hawking stimulée et spontanée à partir d’un horizon analogue pour les modes de spin dans un condensat de Bose–Einstein à deux composants, avec et sans couplage cohérent entre les deux composants. Nous mettons en évidence les avantages conceptuels et pratiques que ces systèmes offrent pour l’observation expérimentale du phénomène, à savoir la possibilité d’avoir des excitations élémentaires massives et l’accessibilité expérimentale des différentes quadratures des excitations de spin. Plus specifiquement, nous allons au-delà des régimes relativistes précédemment abordés dans la littérature, et identifions des observables qui montrent une signature du processus de Hawking, ainsi que des caractéristiques supplémentaires associées à la nature massive des modes, telles que des ondulations. Les calculs semi-analytiques des propriétés de reflexion et transmission de l’horizon et des fonctions de corrélation à deux points du rayonnement émis dans un cadre stationnaire idéal sont confirmés par des simulations numériques dépendantes du temps basées sur les théories de Gross–Pitaevskii et de Bogoliubov.
We theoretically study stimulated and spontaneous Hawking emission from an analog horizon for spin modes in a two-component Bose–Einstein condensate, both with and without a coherent coupling between the two components. We highlight the conceptual and practical advantages that these systems offer to the experimental observation of the phenomenon, namely the possibility of working with massive elementary excitations and the experimental accessibility of the different quadratures of the spin excitations. In particular, we go beyond the relativistic regimes previously addressed in the literature, and identify various observables that show a signature of the Hawking process, as well as additional features associated with the massive nature of the modes, such as undulations. Semi-analytical calculations of the scattering properties of the horizon and of two-point correlation functions of the emitted radiation in an ideal stationary setup are supported by time-dependent numerical simulations based on Gross–Pitaevskii and Bogoliubov theory.
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Mots-clés : Rayonnement de Hawking, Gravité analogue, Condensats de Bose–Einstein à deux composantes
Anna Berti 1 ; Lennart Fernandes 2, 3 ; Salvatore Butera 4 ; Alessio Recati 1 ; Michiel Wouters 3 ; Iacopo Carusotto 1
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@article{CRPHYS_2024__25_S2_A12_0,
author = {Anna Berti and Lennart Fernandes and Salvatore Butera and Alessio ~Recati and Michiel Wouters and Iacopo Carusotto},
title = {Analog {Hawking} radiation from a spin-sonic horizon in a two-component {Bose{\textendash}Einstein} condensate},
journal = {Comptes Rendus. Physique},
publisher = {Acad\'emie des sciences, Paris},
year = {2024},
doi = {10.5802/crphys.226},
language = {en},
note = {Online first},
}
TY - JOUR AU - Anna Berti AU - Lennart Fernandes AU - Salvatore Butera AU - Alessio Recati AU - Michiel Wouters AU - Iacopo Carusotto TI - Analog Hawking radiation from a spin-sonic horizon in a two-component Bose–Einstein condensate JO - Comptes Rendus. Physique PY - 2024 PB - Académie des sciences, Paris N1 - Online first DO - 10.5802/crphys.226 LA - en ID - CRPHYS_2024__25_S2_A12_0 ER -
%0 Journal Article %A Anna Berti %A Lennart Fernandes %A Salvatore Butera %A Alessio Recati %A Michiel Wouters %A Iacopo Carusotto %T Analog Hawking radiation from a spin-sonic horizon in a two-component Bose–Einstein condensate %J Comptes Rendus. Physique %D 2024 %I Académie des sciences, Paris %Z Online first %R 10.5802/crphys.226 %G en %F CRPHYS_2024__25_S2_A12_0
Anna Berti; Lennart Fernandes; Salvatore Butera; Alessio Recati; Michiel Wouters; Iacopo Carusotto. Analog Hawking radiation from a spin-sonic horizon in a two-component Bose–Einstein condensate. Comptes Rendus. Physique, Online first (2024), pp. 1-36. doi : 10.5802/crphys.226.
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