Floquet Dynamics of Boundary-Driven Systems at Criticality

Abstract

A quantum critical system described at low energy by a conformal field theory (CFT) and subjected to a time-periodic boundary drive displays multiple dynamical regimes depending on the drive frequency. We compute the behavior of quantities including the entanglement entropy and Loschmidt echo, confirming analytic predictions from field theory by exact numerics on the transverse field Ising model, and demonstrate universality by adding non-integrable perturbations. The dynamics naturally separate into three regimes: a slow-driving limit, which has an interpretation as multiple quantum quenches with amplitude corrections from CFT; a fast-driving limit, in which the system behaves as though subject to a single quantum quench; and a crossover regime displaying heating. The universal Floquet dynamics in all regimes can be understood using a combination of boundary CFT and Kibble-Zurek scaling arguments.

5 + 6 pages, 4 figures; published version

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• A flow equation approach to periodically driven quantum systems
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• Exact solution of time-dependent Lindblad equations with closed algebras
• Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
• The fine structure of heating in a quasiperiodically driven critical quantum system
• Universal Dynamics of Stochastically Driven Quantum Impurities
• Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories (II): Furstenberg's Theorem and Exceptions to Heating Phases
• Perfect spin filter by periodic drive of a ferromagnetic quantum barrier
• Floquet Scalar Dynamics in Global AdS
• Scrambling and Recovery of Quantum Information in Inhomogeneous Quenches in Two-dimensional Conformal Field Theories
• Dynamical properties of a driven dissipative dimerized $S=1/2$ chain
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Inhomogeneous quenches as state preparation in two-dimensional conformal field theories
• Analogue of Hamilton-Jacobi theory for the time-evolution operator
• Topological edge states at Floquet quantum criticality
• Dissipation-induced topological phase transition and periodic-driving-induced photonic topological state transfer in a small optomechanical lattice
• Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap
• Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
• Dynamical Ginzburg criterion for the quantum-classical crossover of the Kibble-Zurek mechanism
• Counting edge modes via dynamics of boundary spin impurities
• Explosive particle creation by instantaneous change of boundary condition
• Separation of the Kibble-Zurek Mechanism from Quantum Criticality
• Integrable Floquet QFT: Elasticity and factorization under periodic driving
• Scaling of Loschmidt echo in boundary driven critical Z-3 Potts model
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• Universality in Non-Equilibrium Quantum Systems
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain
• Floquet Recurrences in the Double Kicked Top
• Coexistence of different scaling laws for the entanglement entropy in a periodically driven system