Noise resilience of two-dimensional Floquet topological phases

Abstract

We study the effect of noise on two-dimensional periodically driven topological phases, focusing on two examples: the anomalous Floquet-Anderson phase and the disordered Floquet-Chern phase. Both phases show an unexpected robustness against timing noise. The noise-induced decay of initially populated topological edge modes occurs in two stages: At short times, thermalization among edge modes leads to exponential decay. This is followed by slow algebraic decay $\sim n^{-1/2}$ with the number of Floquet cycles $n$. The exponent of $1/2$ is characteristic for one-dimensional diffusion, here occurring along the direction perpendicular to the edge. In contrast, localized modes in the bulk exhibit faster decay, $\sim n^{-1}$, corresponding to two-dimensional diffusion. We demonstrate these behaviors through full-scale numerical simulations and support our conclusions using analytical results based upon a phenomenological model. Our findings indicate that two-dimensional Floquet topological phases are ideal candidates for potential applications of Floquet topology, given the unavoidable presence of both quenched disorder and decoherence in experiments.

arXiv comment12 pages, 7 figures

References in corpus (64)

• Photonic Floquet Topological Insulators
• Experimental realisation of the topological Haldane model
• Floquet Topological Insulator in Semiconductor Quantum Wells
• Photovoltaic Hall effect in graphene
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Observation of Floquet-Bloch states on the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Observation of a Discrete Time Crystal
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
• Observation of photonic anomalous Floquet Topological Insulators
• Long-time behavior of periodically driven isolated interacting lattice systems
• Floquet topological insulators
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Exponentially slow heating in periodically driven many-body systems
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
• Periodically driven ergodic and many-body localized quantum systems
• Realization of an anomalous Floquet topological system with ultracold atoms
• Periodically Driving a Many-Body Localized Quantum System
• Topological singularities and the general classification of Floquet-Bloch systems
• Photoinduced transition between conventional and topological insulators in two-dimensional electronic systems
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Chiral symmetry and bulk--boundary correspondence in periodically driven one-dimensional systems
• Floquet Fractional Chern Insulator in Doped Graphene
• Disorder-induced Floquet Topological Insulators
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• Transport signatures of Floquet Majorana fermions in driven topological superconductors
• Effective Theory of Floquet Topological Transitions
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• A theory of many-body localization in periodically driven systems
• The insulator/Chern-insulator transition in the Haldane model
• Modulated Floquet Topological Insulators
• Topological index for periodically driven time-reversal invariant 2D systems
• Topological Floquet Spectrum in Three Dimensions via a Two-Photon Resonance
• Prethermal Floquet Steady States and Instabilities in the Periodically Driven, Weakly Interacting Bose-Hubbard Model
• Abelian Floquet symmetry-protected topological phases in one dimension
• Counter-propagating edge modes and topological phases of a kicked quantum Hall system
• Scattering matrix invariants of Floquet topological insulators
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Quantized magnetization density in periodically driven systems
• Optical Control of Topological Quantum Transport in Semiconductors
• Experimental observation of Anderson localization in laser-kicked molecular rotors
• Dynamic defects in photonic Floquet topological insulators
• Time-induced second-order topological superconductors
• Non-exponential decoherence and subdiffusion in atom-optics kicked rotor
• Observation of Robust Quantum Resonance Peaks in an Atom Optics Kicked Rotor with Amplitude Noise
• Quantized large-bias current in the anomalous Floquet-Anderson insulator
• Edge and bulk localization of Floquet topological superconductors
• Localization counteracts decoherence in noisy Floquet topological chains
• Phase Noise in the Delta Kicked Rotor: From Quantum to Classical
• Control of quantum localization and classical diffusion in laser-kicked molecular rotors
• Probing non-equilibrium topological order on a quantum processor
• Statistical periodicity in driven quantum systems: General formalism and application to noisy Floquet topological chains
• Anomalous topological edge modes in a periodically-driven trimer lattice
• Dynamical transitions in aperiodically kicked tight-binding models
• Simulating Floquet topological phases in static systems
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization