Wave packet dynamics and edge transport in anomalous Floquet topological phases

Abstract

The possibility of attaining chiral edge modes under periodic driving has spurred tremendous attention, both theoretically and experimentally, especially in light of anomalous Floquet topological phases that feature vanishing Chern numbers unlike any static counterpart. We here consider a periodically modulated honeycomb lattice and experimentally relevant driving protocols, which allows us to obtain edge modes of various character in a simple model. We calculate the phase diagram over a wide range of parameters and recover an anomalous topological phase with quasienergy gaps harbouring edge states with opposite chirality. Motivated by the advances in single-site control in optical lattices, we investigate wave packet dynamics localized at the edges in distinct Floquet topological regimes that cannot be achieved in equilibrium. We analyse transport properties in edge modes originating from the same bands, but with support at different quasienergies and sublattices as well as possessing different chiralities. We find that an anomalous Floquet topological phase can in general generate more robust chiral edge motion than a Haldane phase. Our results demonstrate that the rich interplay of wave packet dynamics and topological edge states can serve as a versatile tool in ultracold quantum gases in optical lattices.

arXiv comment9+2 pages, 7+3 figures (Accepted version)

References in corpus (46)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Experimental realisation of the topological Haldane model
• Topological quantum chemistry
• Photovoltaic Hall effect in graphene
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Topological characterization of periodically-driven quantum systems
• Atomic quantum gases in periodically driven optical lattices
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological Bands for Ultracold Atoms
• Symmetry-based Indicators of Band Topology in the 230 Space Groups
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• The space group classification of topological band insulators
• Topological classification of crystalline insulators through band structure combinatorics
• Observation of photonic anomalous Floquet Topological Insulators
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Experimental observation of anomalous topological edge modes in a slowly-driven photonic lattice
• Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
• 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
• The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
• Measuring topology by dynamics: Chern number from linking number
• Non-Abelian reciprocal braiding of Weyl points and its manifestation in $\text{ZrTe}$
• Topological Euler class as a dynamical observable in optical lattices
• Observation of non-Abelian topological semimetals and their phase transitions
• Measuring quantized circular dichroism in ultracold topological matter
• Measuring Topological Number of a Chern-Insulator from Quench Dynamics
• Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
• Geometric approach to fragile topology beyond symmetry indicators
• Probing topology by "heating": Quantized circular dichroism in ultracold atoms
• Floquet Edge States with Ultracold Atoms
• Topological Invariants for Quantum Quench Dynamics from Unitary Evolution
• Hopf characterization of two-dimensional Floquet topological insulators
• Tuning anomalous Floquet topological bands with ultracold atoms
• Creating, probing, and manipulating fractionally charged excitations of fractional Chern insulators in optical lattices
• Four-band non-Abelian topological insulator and its experimental realization
• Driving protocol for a Floquet topological phase without static counterpart
• Floquet topological phase transitions in a periodically quenched dimer
• Helical Floquet Channels in 1D Lattices
• Floquet engineering of optical solenoids and quantized charge pumping along tailored paths in two-dimensional Chern insulators
• How to Directly Measure Floquet Topological Invariants in Optical Lattices
• Topological properties of Floquet winding bands in a photonic lattice
• Nested-sphere description of the N-level Chern number and the generalized Bloch hypersphere

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• Floquet topological phase transitions induced by uncorrelated or correlated disorder
• Anomalous multi-gap topological phases in periodically driven quantum rotors
• Anomalous wave-packet transport on boundaries of Floquet topological systems
• Localization and topological signatures under periodic twisting
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice