Observing topological charges and dynamical bulk-surface correspondence with ultracold atoms

Abstract

In quenching a topological phase across phase transition, the dynamical bulk-surface correspondence emerges that the bulk topology of $d$-dimensional ($d$D) phase relates to the nontrivial pattern of quench dynamics emerging on $(d-1)$D subspace, called band inversion surfaces (BISs) in momentum space. Here we report the first experimental observation of the dynamical bulk-surface correspondence through measuring the topological charges in a 2D quantum anomalous Hall model realized in an optical Raman lattice. The system can be quenched with respect to every spin axis by suddenly varying the two-photon detuning or phases of the Raman couplings, in which the topological charges and BISs are measured dynamically by the time-averaged spin textures. We observe that the total charges in the region enclosed by BISs define a dynamical topological invariant, which equals the Chern index of the post-quench band. The topological charges relate to an emergent dynamical field which exhibits nontrivial topology on BIS, rendering the dynamical bulk-surface correspondence. This study opens a new avenue to explore topological phases dynamically.

arXiv comment5 pages, 4 figures for main text; 8 pages, 5 figures for supplementary material

References in corpus (30)

• Topological Insulators
• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Experimental realisation of the topological Haldane model
• Experimental discovery of Weyl semimetal TaAs
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Direct Measurement of the Zak phase in Topological Bloch Bands
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Topological Flat Band Models and Fractional Chern Insulators
• Experimental reconstruction of the Berry curvature in a topological Bloch band
• Observation of a dynamical topological phase transition
• Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
• Measuring topology by dynamics: Chern number from linking number
• Uncover Topology by Quantum Quench Dynamics
• Measuring Topological Number of a Chern-Insulator from Quench Dynamics
• Observation of symmetry-protected topological band with ultracold fermions
• Dynamical classification of topological quantum phases
• High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
• Dynamical Buildup of a Quantized Hall Response from Non-Topological States
• Detecting Topological Phases in Cold Atoms
• Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms
• Persistent Hall response in a quantum quench
• Dynamical detection of topological charges
• Measuring Hopf links and Hopf invariants in a quenched topological Raman lattice
• Observation of the Hopf Links and Hopf Fibration in a 2D topological Raman Lattice

Cited by in corpus (49)

• Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
• Non-Hermitian Floquet topological superconductors with multiple Majorana edge modes
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Tuning anomalous Floquet topological bands with ultracold atoms
• Quantum simulation for three-dimensional chiral topological insulator
• Unified theory to characterize Floquet topological phases by quench dynamics
• 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
• Extracting the Quantum Geometric Tensor of an Optical Raman Lattice by Bloch State Tomography
• 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
• Nonanalyticity of circuit complexity across topological phase transitions
• Quantum dynamical characterization and simulation of topological phases with high-order band inversion surfaces
• Topological holographic quench dynamics in a synthetic dimension
• Topological classification of Higher-order topological phases with nested band inversion surfaces
• Universal topological quench dynamics: Altland-Zirnbauer tenfold classes
• Preparing Atomic Topological Quantum Matter by Adiabatic Nonunitary Dynamics
• Emergent topology under slow non-adiabatic quantum dynamics
• Symmetry-Preserving Quadratic Lindbladian and Dissipation Driven Topological Transitions in Gaussian States
• Linking invariant for the quench dynamics of a two-dimensional two-band Chern insulator
• Experimental quantum simulation of non-Hermitian dynamical topological states using stochastic Schrödinger equation
• Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
• Dynamically characterizing topological phases by high-order topological charges
• Experimental realization of a fermionic spin-momentum lattice
• Emergent topology and symmetry-breaking order in correlated quench dynamics
• Floquet topological phases with large winding number
• Topological properties of a periodically driven Creutz ladder
• Stability of dynamical topology against dynamical noise in quantum quenches
• Generic theory of characterizing topological phases under quantum slow dynamics
• Dissipative two-dimensional Raman lattice
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Topological spin-orbit-coupled fermions beyond rotating wave approximation
• Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics
• Topological optical Raman superlattices
• Chiral Raman coupling for spin-orbit coupling in ultracold atomic gases
• 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 $Z_2$ Floquet topological phases via quantum quenches
• 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
• Measuring topological invariants of even-dimensional line-gapped non-Hermitian systems through quench dynamics
• Proposal for realizing unpaired Weyl points in a three-dimensional periodically driven optical Raman lattice
• Full investigation of nonadiabatic dynamical characterization in arbitrary quenching process
• From orthogonal link to phase vortex in generalized dynamical Hopf insulators
• Orbital Optical Raman Lattice
• Non-Markovianity Benefits Quantum Dynamics Simulation
• Ultracold atomic lattice systems for simulating topological phases: A review
• Semimetals without correspondence between the topological charge of nodal line/surface and Fermi arc