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.
{ "_oai": { "updated": "2024-04-19T12:31:39Z", "id": "oai:repo.scoap3.org:81658", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Spain", "value": "Departamento de F\u00edsica de Part\u00edculas, Universidade de Santiago de Compostela, and Instituto Galego de F\u00edsica de Altas Enerx\u00edas (IGFAE), Santiago de Compostela, E-15782, Spain", "organization": "Departamento de F\u00edsica de Part\u00edculas, Universidade de Santiago de Compostela, and Instituto Galego de F\u00edsica de Altas Enerx\u00edas (IGFAE)" } ], "surname": "Mas", "email": "javier.mas@usc.es", "full_name": "Mas, Javier", "given_names": "Javier" }, { "affiliations": [ { "country": "Spain", "value": "Departamento de F\u00edsica de Part\u00edculas, Universidade de Santiago de Compostela, and Instituto Galego de F\u00edsica de Altas Enerx\u00edas (IGFAE), Santiago de Compostela, E-15782, Spain", "organization": "Departamento de F\u00edsica de Part\u00edculas, Universidade de Santiago de Compostela, and Instituto Galego de F\u00edsica de Altas Enerx\u00edas (IGFAE)" } ], "surname": "Mayo", "email": "david.travieso.mayo@usc.es", "full_name": "Mayo, David", "given_names": "David" } ], "titles": [ { "source": "Springer", "title": "Resonant drivings in global AdS" } ], "dois": [ { "value": "10.1007/JHEP11(2023)230" } ], "publication_info": [ { "page_end": "28", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP11(2023)230", "year": 2023, "page_start": "1", "journal_issue": "11" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-04-19T12:31:11.110029", "source": "Springer", "method": "Springer", "submission_number": "89f97e94fe4811eeaf7a62370f8ccf13" }, "page_nr": [ 28 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "81658", "record_creation_date": "2023-12-01T09:30:15.323916", "_files": [ { "checksum": "md5:8b70cf80a6de78dd808c18bdaff3f196", "filetype": "xml", "bucket": "27463002-70a5-4b39-ab54-3b5af14868f0", "version_id": "06dec414-d28f-40ca-acea-df94e66e3fd8", "key": "10.1007/JHEP11(2023)230.xml", "size": 11014 }, { "checksum": "md5:7a38127daeb3954664f05e3e00bb765b", "filetype": "pdf/a", "bucket": "27463002-70a5-4b39-ab54-3b5af14868f0", "version_id": "b61c0650-c3a8-4108-bd28-a15c02cb1915", "key": "10.1007/JHEP11(2023)230_a.pdf", "size": 3750321 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2307.16884" } ], "abstracts": [ { "source": "Springer", "value": "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., \u2329\u03d5\u232a = 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." } ], "imprints": [ { "date": "2023-11-30", "publisher": "Springer" } ] }