Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice
arXiv:2411.13940 · doi:10.1103/PhysRevA.111.053318
Abstract
Motivated by the recent observation of real-space edge modes with ultracold atoms [Braun et al., Nat. Phys. 20, 1306 (2024)], we investigate the preparation and detection of anomalous counterpropagating edge states -- a defining feature of the anomalous Floquet valley-Hall (AFVH) phase -- in a two-dimensional periodically driven optical Raman lattice. Modeling the atomic cloud with a Gaussian wave packet state, we explore, both analytically and numerically, how the population of edge modes depends on the initial-state parameters. In particular, we reveal that, in addition to the internal spin state, the initial momenta parallel and perpendicular to the boundary play essential roles: they independently control the selective population of edge states across distinct momenta and within separate quasienergy gaps. Furthermore, we examine the wave-packet dynamics of counterpropagating edge states and demonstrate that their characteristic motion is robust against long-range disorder. These results establish a theoretical framework for future experimental explorations of the AFVH phase and topological phenomena associated with its unique edge modes.
arXiv comment15 pages, 11 figures
References in corpus (81)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
- A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Experimental realisation of the topological Haldane model
- Experimental discovery of Weyl semimetal TaAs
- Topological superconductors: a review
- Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
- Topological characterization of periodically-driven quantum systems
- Atomic quantum gases in periodically driven 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
- Exploring the many-body localization transition in two dimensions
- Topological Bands for Ultracold Atoms
- Realization of Two-Dimensional Spin-orbit Coupling for Bose-Einstein Condensates
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Visualizing edge states with an atomic Bose gas in the quantum Hall regime
- Tools for quantum simulation with ultracold atoms in optical lattices
- A Bose-Einstein condensate in a random potential
- Periodic Table for Floquet Topological Insulators
- Realization of an anomalous Floquet topological system with ultracold atoms
- Topological singularities and the general classification of Floquet-Bloch systems
- Topological quantum matter with cold atoms
- Edge states and the bulk-boundary correspondence in Dirac Hamiltonians
- Bulk-boundary correspondence of topological insulators from their Green's functions
- A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
- Realization of 2D Spin-orbit Interaction and Exotic Topological Orders in Cold Atoms
- Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
- Tailoring quantum gases by Floquet engineering
- Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
- Direct imaging of topological edge states in cold-atom systems
- Topological index for periodically driven time-reversal invariant 2D systems
- Manipulating Topological Edge Spins in One-Dimensional Optical Lattice
- Detecting Chiral Edge States in the Hofstadter Optical Lattice
- Observation of symmetry-protected topological band with ultracold fermions
- Dynamical classification of topological quantum phases
- Probing chiral edge dynamics and bulk topology of a synthetic Hall system
- Topological states in two-dimensional optical lattices
- Real-space imaging of a topological protected edge state with ultracold atoms in an amplitude-chirped optical lattice
- High Controllable and Robust 2D Spin-Orbit Coupling for Quantum Gases
- Observation of nodal-line semimetal with ultracold fermions in an optical lattice
- Floquet topological phases protected by time glide symmetry
- Counter-propagating edge modes and topological phases of a kicked quantum Hall system
- Topological Insulators and Metals in Atomic Optical Lattices
- Complex classes of periodically driven topological lattice systems
- Floquet Edge States with Ultracold Atoms
- Realization and detection of non-ergodic critical phases in optical Raman lattice
- Dirac, Rashba and Weyl type spin-orbit couplings: toward experimental realization in ultracold atoms
- A two-leg Su-Schrieffer-Heeger chain with glide reflection symmetry
- Observation of two-dimensional Anderson localisation of ultracold atoms
- Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
- Quantum simulation of exotic PT-invariant topological nodal loop bands with ultracold atoms in an optical lattice
- Dynamical detection of topological charges
- Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
- Tuning anomalous Floquet topological bands with ultracold atoms
- Unified theory to characterize Floquet topological phases by quench dynamics
- Floquet engineering to exotic topological phases in systems of cold atoms
- Ideal Weyl semimetal with 3D spin-orbit coupled ultracold quantum gas
- Real-space detection and manipulation of topological edge modes with ultracold atoms
- Characterizing topological phases by quantum quenches: A general theory
- Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
- Floquet engineering topological Dirac bands
- Generation of higher-order topological insulators using periodic driving
- Counter-propagating edge states in Floquet topological insulating phases
- Chiral Topological Orders in an Optical Raman Lattice
- Chiral magnetic effect in three-dimensional optical lattices
- Nodal Brillouin Zone Boundary from Folding a Chern Insulator
- Unconventional Floquet topological phases from quantum engineering of band inversion surfaces
- Wave packet dynamics and edge transport in anomalous Floquet topological phases
- Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
- Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
- Topological nodal chains in optical lattices
- Topological phases in pseudospin-1 Fermi gases with two-dimensional spin-orbit coupling
- Dissipative two-dimensional Raman lattice
- Topological spin-orbit-coupled fermions beyond rotating wave approximation
- Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach