Jan 17 – 19, 2024
Porto - Portugal
Europe/Lisbon timezone

Resonant Drivings in Global AdS

Not scheduled
Porto - Portugal

Porto - Portugal

Faculdade de Ciências da Universidade do Porto Rua do Campo Alegre Porto - Porto - Portugal


David Mayo (IGFAE - Universidade de Santiago de Compostela)


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, periodic solutions that are dual to a scalar field with vanishing v.e.v. 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. 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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