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Floquet engineering topological Dirac bands

Quantum Gases 2022-08-31 v1 Quantum Physics

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.

Keywords

Cite

@article{arxiv.2202.05033,
  title  = {Floquet engineering topological Dirac bands},
  author = {Mingwu Lu and G. H. Reid and A. R. Fritsch and A. M. Piñeiro and I. B. Spielman},
  journal= {arXiv preprint arXiv:2202.05033},
  year   = {2022}
}
R2 v1 2026-06-24T09:30:05.794Z