Floquet Scalar Dynamics in Global AdS

Abstract

We 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.

58 pages, 43 figs, several improvements, final version to appear in JHEP

References in corpus (5)

• Absence of Quantum Time Crystals
• Effective holographic theory of charge density waves
• DC resistivity of quantum critical, charge density wave states from gauge-gravity duality
• Collapse and Nonlinear Instability of AdS with Angular Momenta
• Driven Holographic CFTs

Cited by in corpus (19)

• Floquet conformal field theories with generally deformed Hamiltonians
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
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• Holographic Floquet states II: Floquet condensation of vector mesons in nonequilibrium phase diagram
• Out-of-Time-Order correlators in driven conformal field theories
• Self-Similar Solutions to the Compressible Euler Equations and their Instabilities
• Energy extraction from AdS black holes via superradiance
• Simplest phonons and pseudo-phonons in field theory
• The Real-Time Correlation Function of Floquet Conformal Fields
• Charting the AdS Islands of Stability with Multi-oscillators?
• Floquet superconductor in holography
• Probing anomalous driving
• Gravitational wave driving of a gapped holographic system
• Fractons in effective field theories for spontaneously broken translations
• Examining Instabilities Due to Driven Scalars in AdS
• Non-equilibrium dynamics in Holography
• Complexity of Scalar Collapse in Anti-de Sitter Spacetime
• Phase Transitions and Conductivties of Floquet Fluids
• Nonequilibrium steady states in driven holographic Weyl semi-metals