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.

9+2 pages, 7+3 figures (Accepted version)

References in corpus (18)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Photovoltaic Hall effect in graphene
• Topological characterization of periodically-driven quantum systems
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• The space group classification of topological band insulators
• Bulk Topological Invariants in Noninteracting Point Group Symmetric Insulators
• Topological Euler class as a dynamical observable in optical lattices
• Observation of non-Abelian topological semimetals and their phase transitions
• Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit
• Geometric approach to fragile topology beyond symmetry indicators
• Floquet Edge States with Ultracold Atoms
• Tuning anomalous Floquet topological bands with ultracold atoms
• Four-band non-Abelian topological insulator and its experimental realization
• Floquet topological phase transitions in a periodically quenched dimer
• Helical Floquet Channels in 1D 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

Cited by in corpus (8)

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• Real-space detection and manipulation of topological edge modes with ultracold atoms
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• 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