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The possibility of attaining chiral edge modes under periodic driving hasspurred tremendous attention, both theoretically and experimentally, especiallyin light of anomalous Floquet topological phases that feature vanishing Chernnumbers unlike any static counterpart. We here consider a periodicallymodulated honeycomb lattice and experimentally relevant driving protocols,which allows us to obtain edge modes of various character in a simple model. Wecalculate the phase diagram over a wide range of parameters and recover ananomalous topological phase with quasienergy gaps harbouring edge states withopposite chirality. Motivated by the advances in single-site control in opticallattices, we investigate wave packet dynamics localized at the edges indistinct Floquet topological regimes that cannot be achieved in equilibrium. Weanalyse transport properties in edge modes originating from the same bands, butwith support at different quasienergies and sublattices as well as possessingdifferent chiralities. We find that an anomalous Floquet topological phase canin general generate more robust chiral edge motion than a Haldane phase. Ourresults demonstrate that the rich interplay of wave packet dynamics andtopological edge states can serve as a versatile tool in ultracold quantumgases in optical lattices.

Wave packet dynamics and edge transport in anomalous Floquet topological phases