Experimental observation of dynamical bulk-surface correspondence for topological phases

Abstract

We experimentally demonstrate a dynamical classification approach for investigation of topological quantum phases using a solid-state spin system through nitrogen-vacancy (NV) center in diamond. Similar to the bulkboundary correspondence in real space at equilibrium, we observe a dynamical bulk-surface correspondence in the momentum space from a dynamical quench process. An emergent dynamical topological invariant is precisely measured in experiment by imaging the dynamical spin-textures on the recently defined band-inversion surfaces, with high topological numbers being implemented. Importantly, the dynamical classification approach is shown to be independent of quench ways and robust to the decoherence effects, offering a novel and practical strategy for dynamical topology characterization, especially for high dimensional gapped topological phases.

6 pages, 4 figures

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Cited by in corpus (26)

• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Unified theory to characterize Floquet topological phases by quench dynamics
• Quantum simulation for three-dimensional chiral topological insulator
• Universal competitive spectral scaling from the critical non-Hermitian skin effect
• Experimental Detection of the Quantum Phases of a Three-Dimensional Topological Insulator on a Spin Quantum Simulator
• Simulation of Higher-Order Topological Phases and Related Topological Phase Transitions in a Superconducting Qubit
• Characterizing topological phases by quantum quenches: A general theory
• Direct dynamical characterization of higher-order topological insulators with nested band inversion surfaces
• Quantum dynamical characterization and simulation of topological phases with high-order band inversion surfaces
• Topological holographic quench dynamics in a synthetic dimension
• Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain
• Emergent topology under slow non-adiabatic quantum dynamics
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Dynamically characterizing topological phases by high-order topological charges
• Emergent topology and symmetry-breaking order in correlated quench dynamics
• Stability of dynamical topology against dynamical noise in quantum quenches
• Generic theory of characterizing topological phases under quantum slow dynamics
• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Dynamical characterization of $Z_2$ Floquet topological phases via quantum quenches
• Dynamical detection of mean-field topological phases in an interacting Chern insulator
• Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
• Dynamical characterization of topological phases beyond the minimal models
• Investigating the quench dynamics of the bound states in a spin-orbital coupling system using a trapped ion
• Loop unitary and phase band topological invariant in generic multi-band Chern insulators
• Quantum Supercritical Crossover with Dynamical Singularity
• Full investigation of nonadiabatic dynamical characterization in arbitrary quenching process