Resonant drivings in global AdS

Abstract We revisit the case of a real scalar field in global AdS4 subject to a periodic driving. We address the issue of adiabatic preparation and deformation of a time-periodic solution dual to a Floquet condensate. Then we carefully study the case of driving close to the normal mode resonant freq...

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Main Authors: Javier Mas, David Travieso Mayo
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2023)230
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author Javier Mas
David Travieso Mayo
author_facet Javier Mas
David Travieso Mayo
author_sort Javier Mas
collection DOAJ
description Abstract We revisit the case of a real scalar field in global AdS4 subject to a periodic driving. We address the issue of adiabatic preparation and deformation of a time-periodic solution dual to a Floquet condensate. Then we carefully study the case of driving close to the normal mode resonant frequencies. We examine different slow protocols that adiabatically change the amplitude and/or the frequency of the driving. Traversing a normal mode frequency has very different results depending upon the sense of the frequency modulation. Generally, in the growing sense, the geometry reaches a periodically-modulated state, whereas in the opposite one, it collapses into a black hole. We study the suppression points. These are periodic solutions that are dual to a scalar field with vanishing v.e.v., 〈ϕ〉 = 0, instead of vanishing source. We also investigate quasi-periodic solutions that are prepared by driving with a combination of two normal resonant frequencies. We observe that, while the driving is on, the non-linear cascading towards higher frequencies is strongly suppressed. However, once the driving is switched off, the cascading takes over again, and in some cases, it eventually brings the solution to a collapse. Finally, we study the driving by a non-coherent thermal ensemble of resonant drivings that model stochastic noise. Our numerical results suggest the existence of stable regular solutions at sufficiently low temperature and a transition to collapse above some threshold.
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spelling doaj.art-5e21b888b74a4ab39e04214621ce166c2024-04-21T11:05:43ZengSpringerOpenJournal of High Energy Physics1029-84792023-11-0120231112810.1007/JHEP11(2023)230Resonant drivings in global AdSJavier Mas0David Travieso Mayo1Departamento de Física de Partículas, Universidade de Santiago de Compostela, and Instituto Galego de Física de Altas Enerxías (IGFAE)Departamento de Física de Partículas, Universidade de Santiago de Compostela, and Instituto Galego de Física de Altas Enerxías (IGFAE)Abstract We revisit the case of a real scalar field in global AdS4 subject to a periodic driving. We address the issue of adiabatic preparation and deformation of a time-periodic solution dual to a Floquet condensate. Then we carefully study the case of driving close to the normal mode resonant frequencies. We examine different slow protocols that adiabatically change the amplitude and/or the frequency of the driving. Traversing a normal mode frequency has very different results depending upon the sense of the frequency modulation. Generally, in the growing sense, the geometry reaches a periodically-modulated state, whereas in the opposite one, it collapses into a black hole. We study the suppression points. These are periodic solutions that are dual to a scalar field with vanishing v.e.v., 〈ϕ〉 = 0, instead of vanishing source. We also investigate quasi-periodic solutions that are prepared by driving with a combination of two normal resonant frequencies. We observe that, while the driving is on, the non-linear cascading towards higher frequencies is strongly suppressed. However, once the driving is switched off, the cascading takes over again, and in some cases, it eventually brings the solution to a collapse. Finally, we study the driving by a non-coherent thermal ensemble of resonant drivings that model stochastic noise. Our numerical results suggest the existence of stable regular solutions at sufficiently low temperature and a transition to collapse above some threshold.https://doi.org/10.1007/JHEP11(2023)230AdS-CFT CorrespondenceGauge-Gravity CorrespondenceHolography and Condensed Matter Physics (AdS/CMT)
spellingShingle Javier Mas
David Travieso Mayo
Resonant drivings in global AdS
Journal of High Energy Physics
AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
title Resonant drivings in global AdS
title_full Resonant drivings in global AdS
title_fullStr Resonant drivings in global AdS
title_full_unstemmed Resonant drivings in global AdS
title_short Resonant drivings in global AdS
title_sort resonant drivings in global ads
topic AdS-CFT Correspondence
Gauge-Gravity Correspondence
Holography and Condensed Matter Physics (AdS/CMT)
url https://doi.org/10.1007/JHEP11(2023)230
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AT davidtraviesomayo resonantdrivingsinglobalads