Helical Floquet Channels in 1D Lattices

Abstract

We show how dispersionless channels exhibiting perfect spin-momentum locking can arise in a 1D lattice model. While such spectra are forbidden by fermion doubling in static 1D systems, here we demonstrate their appearance in the stroboscopic dynamics of a periodically driven system. Remarkably, this phenomenon does not rely on any adiabatic assumptions, in contrast to the well known Thouless pump and related models of adiabatic spin pumps. The proposed setup is shown to be experimentally feasible with state of the art techniques used to control ultracold alkaline earth atoms in optical lattices.

Final version

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological characterization of periodically-driven quantum systems
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Exploring Topological Phases With Quantum Walks
• Discrete single-photon quantum walks with tunable decoherence
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Non-Abelian parafermions in time-reversal invariant interacting helical systems
• Edge-state enhanced transport in a 2-dimensional quantum walk
• Driven Quantum Walks

Cited by in corpus (7)

• Topological invariants of Floquet systems: General formulation, special properties, and Floquet topological defects
• Floquet analysis of a quantum system with modulated periodic driving
• Realizing exceptional points by Floquet dissipative couplings in thermal atoms
• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
• Helical transport in coupled resonator waveguides
• Dissipation engineered directional filter for quantum ratchets
• Immutable quantized transport in Floquet chains