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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Acknowledgments
We would like to thank Anxo Biasi and Alexandre Serantes for useful exchange and conversations.
This work was supported by Xunta de Galicia (Centro Singular de Investigación de Galicia accreditation 2019-2022 and grant ED431C-2021/14), the María de Maeztu Units of Excellence program under project CEX2020-001035-M, the Spanish Research State Agency under grant PID2020-114157GB-I00, and by the European Union FEDER. The work of DTM has been supported by the Xunta de Galicia action ‘Axudas de apoio á etapa predoutoral’ under the grant ED481A-2020/106.
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Mas, J., Mayo, D.T. Resonant drivings in global AdS. J. High Energ. Phys. 2023, 230 (2023). https://doi.org/10.1007/JHEP11(2023)230
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DOI: https://doi.org/10.1007/JHEP11(2023)230