Floquet engineering topological Dirac bands

Abstract

We experimentally realized a time-periodically modulated 1D lattice for ultracold atoms featuring a pair of linear bands, each associated with a Floquet winding number: a topological invariant. These bands are spin-momentum locked and almost perfectly linear everywhere in the Brillouin zone (BZ), making this system a near-ideal realization of the 1D Dirac Hamiltonian. We characterized the Floquet winding number using a form of quantum state tomography, covering the BZ and following the micromotion through one Floquet period. Lastly, we altered the modulation timing to lift the topological protection, opening a gap at the Dirac point that grew in proportion to the deviation from the topological configuration.

References in corpus (5)

• Topological characterization of periodically-driven quantum systems
• Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
• Helical Floquet Channels in 1D Lattices
• Flux lattices reformulated
• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space

Cited by in corpus (11)

• Quantum phases in spin-orbit-coupled Floquet spinor Bose gases
• Electron Scattering at a Potential Temporal Step Discontinuity
• Chiral polaron formation on the edge of topological quantum matter
• Observation of dynamical topology in 1D
• The Streda Formula for Floquet Systems: Topological Invariants and Quantized Anomalies from Cesaro Summation
• Dynamical nonlinear optical response in time-periodic quantum systems
• Quasiperiodic Floquet-Gibbs states in Rydberg atomic systems
• Band-edge superfluid of Bose-Einstein condensates in the spin-orbit-coupled Zeeman lattice
• Geometric Quantum Gates of Non-closed Paths Under Counterdiabatic Driving
• Ultracold atomic lattice systems for simulating topological phases: A review
• Preparation and observation of anomalous counterpropagating edge states in a periodically driven optical Raman lattice