Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
arxiv(2024)
摘要
We propose a feasible scheme to realize a four-band Stiefel-Whitney insultor
(SWI) with spin-orbit coupled ultracold atoms in an optical Raman lattice. Four
selected spin states are coupled by carefully designed Raman lasers, to
generate the desired spin-orbit interactions with spacetime inversion symmetry.
We map out a phase diagram with respect to the experimental parameters, where a
large topological phase region exists. We further present two distinct
detection methods to resolve the non-abelian band topology, in both equilibrium
and dynamical ways. The detection relies on the spin textures extracted from
the time-of-flight imaging, showing the tomographic signatures in the ground
states and long-time averaged patterns on certain submanifold via a
bulk-surface duality. Our work paves a realistic way to explore novel real
topology with quantum matters.
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