Fariña Biasi, AnxoCarracedo, PabloMas Solé, JavierMusso, DanieleSerantes, Alexandre2020-05-292020-05-292018Biasi, A., Carracedo, P., Mas, J. et al. Floquet scalar dynamics in global AdS. J. High Energ. Phys. 2018, 137 (2018). https://doi.org/10.1007/JHEP04(2018)1371029-8479http://hdl.handle.net/10347/22730We study periodically driven scalar fields and the resulting geometries with global AdS asymptotics. These solutions describe the strongly coupled dynamics of dual finite-size quantum systems under a periodic driving which we interpret as Floquet condensates. They span a continuous two-parameter space that extends the linearized solutions on AdS. We map the regions of stability in the solution space. In a significant portion of the unstable subspace, two very different endpoints are reached depending upon the sign of the perturbation. Collapse into a black hole occurs for one sign. For the opposite sign instead one attains a regular solution with periodic modulation. We also construct quenches where the driving frequency and amplitude are continuously varied. Quasistatic quenches can interpolate between pure AdS and sourced solutions with time periodic vev. By suitably choosing the quasistatic path one can obtain boson stars dual to Floquet condensates at zero driving field. We characterize the adiabaticity of the quenching processes. Besides, we speculate on the possible connections of this framework with time crystals.eng© The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.https://creativecommons.org/licenses/by/4.0/AdS-CFT CorrespondenceGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT)journal article10.1007/JHEP04(2018)137open access