Observation of Floquet topological phases with large Chern numbers

Abstract

One of the most intriguing advantage of Floquet engineering is to generate new phases with large topological invariants. In this work, we experimentally simulate a periodically quenched generalized Haldane model on an NV center in diamond, and observe its Floquet Chern insulator phases with Chern numbers $C=1,2,4$ by imaging the static and dynamic spin textures in momentum space. Our work reveals the power of Floquet driving in transforming system's topology and generating large Chern number phases. It further establishes a unique experimental scheme to detect Floquet topological phases in two and higher spatial dimensions.

11 pages, figure 1-4, figure s1-s2

References in corpus (9)

• Photovoltaic Hall effect in graphene
• Dynamic polarization of single nuclear spins by optical pumping of NV color centers in diamond at room temperature
• Measurement of a topological edge invariant in a microwave network
• Quantized Adiabatic Transport in Momentum Space
• Distant-Neighbor Hopping in Graphene and Haldane Models
• Single Spin Magnetic Resonance
• Aspects of Floquet Bands and Topological Phase Transitions in a Continuously Driven Superlattice
• Floquet edge states in a harmonically driven integer quantum Hall system
• A computational study of two-terminal transport of Floquet quantum Hall insulators

Cited by in corpus (20)

• Non-Hermitian Floquet Topological Matter -- A Review
• Topological Floquet engineering using two frequencies in two dimensions
• Floquet topological superconductors with many Majorana edge modes: topological invariants, entanglement spectrum and bulk-edge correspondence
• Entanglement spectrum and entropy in Floquet topological matter
• Topological edge states at Floquet quantum criticality
• Engineering second-order nodal-line semimetals by breaking $\mathcal{P}\mathcal{T}$ symmetry and periodic driving
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Topological properties of a periodically driven Creutz ladder
• Topological characterization of a non-Hermitian ladder via Floquet non-Bloch theory
• Electron-spin double resonance of nitrogen-vacancy centers in diamond under strong driving field
• Four-dimensional Floquet topological insulator with an emergent second Chern number
• Single and multi-frequency driving protocols in a Rashba nanowire proximitized to an s-wave superconductor
• Floquet non-Abelian topological charges and edge states
• Floquet topological phases with time-reversal and space inversion symmetries and dynamical detection of topological charges
• Quantum geometry and geometric entanglement entropy of one-dimensional Floquet topological matter
• Floquet Möbius topological insulators
• Emergent topological phases and coexistence of gapless and spectral-localized Floquet quantum spin Hall states via electron-phonon interaction
• Floquet Non-Bloch Formalism for a Non-Hermitian Ladder: From Theoretical Framework to Topolectrical Circuits
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Breakdown of the symmetry constraint in a Floquet topological insulator