Experimental measurement of Chern-Simons invariant using Bloch state tomography in ultracold atoms, suggesting validation of theoretical models.
The authors experimentally measure the Chern-Simons invariant by quenching a two-dimensional optical Raman lattice with 1/2 spin in ultracold atoms, using Bloch state tomography to extract the Berry curvature and Berry connection. By integrating their product, they obtain Chern-Simons invariants near ±{}1 and 0, matching theoretical predictions.
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Yi et al. (2025) studied this question.
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