Resonant analogue configurations in atomic condensates

As a contribution to a memorial volume, we provide a comprehensive discussion of resonant configurations in analogue gravity, focusing on its implementation in atomic condensates and combining review features with original insights and calculations. In particular, we jointly analyze the analogues of...

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Main Authors: Muñoz de Nova, Juan Ramón, Fernández Palacios, Pablo, Alcázar Guerrero, Pedro , Zapata, Ivar, Sols, Fernando
Format: Article
Language:English
Published: Académie des sciences 2025-01-01
Series:Comptes Rendus. Physique
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Online Access:https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.212/
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author Muñoz de Nova, Juan Ramón
Fernández Palacios, Pablo
Alcázar Guerrero, Pedro 
Zapata, Ivar
Sols, Fernando
author_facet Muñoz de Nova, Juan Ramón
Fernández Palacios, Pablo
Alcázar Guerrero, Pedro 
Zapata, Ivar
Sols, Fernando
author_sort Muñoz de Nova, Juan Ramón
collection DOAJ
description As a contribution to a memorial volume, we provide a comprehensive discussion of resonant configurations in analogue gravity, focusing on its implementation in atomic condensates and combining review features with original insights and calculations. In particular, we jointly analyze the analogues of the Andreev and Hawking effects using a microscopic description based on the Bogoliubov approximation. We perform a detailed study of the thermality of the Andreev and Hawking spectra for canonical black-hole solutions, finding that both can be described by a gray-body distribution to a very good approximation. We contemplate several resonant scenarios whose efficiency to enhance anomalous scattering processes is compared to that of non-resonant setups. The presence of quantum signatures in analogue configurations, such as the violation of Cauchy–Schwarz inequalities or entanglement, is analyzed, observing that resonant configurations highly increase the entanglement signal, especially for the Andreev effect. We also discuss how these results have served as inspiration for the rapidly expanding field of quantum information in high-energy colliders. Finally, we study the physics of black-hole lasers as further examples of resonant analogue structures, distinguishing three stages in its time evolution. For short times, we compute the linear and non-linear spectrum for different models. For intermediate times, we generalize the current analysis of the BHL–BCL crossover. For long times, we discuss the emerging concept of spontaneous Floquet state and its potential implications.
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spelling doaj-art-2abfbca759734ffcae12792b10c358a72025-02-07T13:54:01ZengAcadémie des sciencesComptes Rendus. Physique1878-15352025-01-0116310.5802/crphys.21210.5802/crphys.212Resonant analogue configurations in atomic condensatesMuñoz de Nova, Juan Ramón0https://orcid.org/0000-0001-6229-9640Fernández Palacios, Pablo1https://orcid.org/0000-0002-0622-6794Alcázar Guerrero, Pedro 2Zapata, Ivar3Sols, Fernando4https://orcid.org/0000-0002-0947-286XDepartamento de Física de Materiales, Universidad Complutense de Madrid, 28040 Madrid, SpainInstituto de Energía Solar, Universidad Politécnica de Madrid, 28040 Madrid, SpainCatalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and BIST, Campus UAB, Bellaterra, 08193 Barcelona, Spain; Department of Physics, Campus UAB, Bellaterra, 08193 Barcelona, SpainmrHouston Tech Solutions, 28002 Madrid, SpainDepartamento de Física de Materiales, Universidad Complutense de Madrid, 28040 Madrid, SpainAs a contribution to a memorial volume, we provide a comprehensive discussion of resonant configurations in analogue gravity, focusing on its implementation in atomic condensates and combining review features with original insights and calculations. In particular, we jointly analyze the analogues of the Andreev and Hawking effects using a microscopic description based on the Bogoliubov approximation. We perform a detailed study of the thermality of the Andreev and Hawking spectra for canonical black-hole solutions, finding that both can be described by a gray-body distribution to a very good approximation. We contemplate several resonant scenarios whose efficiency to enhance anomalous scattering processes is compared to that of non-resonant setups. The presence of quantum signatures in analogue configurations, such as the violation of Cauchy–Schwarz inequalities or entanglement, is analyzed, observing that resonant configurations highly increase the entanglement signal, especially for the Andreev effect. We also discuss how these results have served as inspiration for the rapidly expanding field of quantum information in high-energy colliders. Finally, we study the physics of black-hole lasers as further examples of resonant analogue structures, distinguishing three stages in its time evolution. For short times, we compute the linear and non-linear spectrum for different models. For intermediate times, we generalize the current analysis of the BHL–BCL crossover. For long times, we discuss the emerging concept of spontaneous Floquet state and its potential implications.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.212/Analog gravityQuantum gasesAndreev processesQuantum informationHigh-energy collidersTime-crystals
spellingShingle Muñoz de Nova, Juan Ramón
Fernández Palacios, Pablo
Alcázar Guerrero, Pedro 
Zapata, Ivar
Sols, Fernando
Resonant analogue configurations in atomic condensates
Comptes Rendus. Physique
Analog gravity
Quantum gases
Andreev processes
Quantum information
High-energy colliders
Time-crystals
title Resonant analogue configurations in atomic condensates
title_full Resonant analogue configurations in atomic condensates
title_fullStr Resonant analogue configurations in atomic condensates
title_full_unstemmed Resonant analogue configurations in atomic condensates
title_short Resonant analogue configurations in atomic condensates
title_sort resonant analogue configurations in atomic condensates
topic Analog gravity
Quantum gases
Andreev processes
Quantum information
High-energy colliders
Time-crystals
url https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.212/
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AT alcazarguerreropedro resonantanalogueconfigurationsinatomiccondensates
AT zapataivar resonantanalogueconfigurationsinatomiccondensates
AT solsfernando resonantanalogueconfigurationsinatomiccondensates