Stroboscopic Symmetry-Protected Topological Phases

Abstract

Symmetry-protected topological (SPT) phases of matter have been the focus of many recent theoretical investigations, but controlled mechanisms for engineering them have so far been elusive. In this work, we demonstrate that by driving interacting spin systems periodically in time and tuning the available parameters, one can realize lattice models for bosonic SPT phases in the limit where the driving frequency is large. We provide concrete examples of this construction in one and two dimensions, and discuss signatures of these phases in stroboscopic measurements of local observables.

6+6 pages, 4+2 figures; v2 includes revised discussion of measurement protocol; v3 is expanded, with plots from additional numerical simulations including all Magnus corrections; v4 is version accepted to PRB

References in corpus (6)

• Classification of topological insulators and superconductors in three spatial dimensions
• The Magnus expansion and some of its applications
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Observation of topological transitions in interacting quantum circuits
• Rokhsar-Kivelson Models of Bosonic Symmetry-Protected Topological States
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators

Cited by in corpus (40)

• Floquet Time Crystals
• Periodic Table for Floquet Topological Insulators
• Discrete Time Crystals
• Pre-thermal phases of matter protected by time-translation symmetry
• Classification of Interacting Topological Floquet Phases in One Dimension
• Classification of topological phases in periodically driven interacting systems
• Topology and Broken Symmetry in Floquet Systems
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Hilbert-Space Fragmentation from Strict Confinement
• Observation of anomalous π modes in photonic Floquet engineering
• Floquet symmetry-protected topological phases in cold atomic systems
• Observation of a symmetry-protected topological time crystal with superconducting qubits
• Abelian Floquet symmetry-protected topological phases in one dimension
• Heating and many-body resonances in a periodically driven two-band system
• Symmetry constraints on many-body localization
• Many-body localization, symmetry, and topology
• Eigenstate phase transitions and the emergence of universal dynamics in highly excited states
• Floquet Quantum Criticality
• Dynamical engineering of interactions in qudit ensembles
• Floquet Dynamics of Boundary-Driven Systems at Criticality
• Higher Order Bosonic Topological Phases in Spin Models
• Floquet quantum simulation with superconducting qubits
• Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
• Symmetry enhanced boundary qubits at infinite temperature
• Zero refractive index in space-time acoustic metamaterials
• Many-body dynamics and gap opening in interacting periodically driven systems
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Strong zero modes in integrable quantum circuits
• Floquet engineering from long-range to short-range interactions
• High-frequency Expansion for Floquet Prethermal Phases with Emergent Symmetries: Application to Time Crystals and Floquet Engineering
• Dynamically induced many-body localization
• Floquet Supersymmetry
• String order via Floquet interactions in atomic systems
• Floquet topological phase in a generalized PT-symmetric lattice
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Duality defect in a deformed transverse-field Ising model
• Instanton effects in lattice models of bosonic symmetry-protected topological states
• Universality in Non-Equilibrium Quantum Systems
• Floquet engineering of topological phases protected by emergent symmetries under resonant drives
• Strong zero modes in integrable spin-S chains