Figure 4
From: Synthetic Gauge Structures in Real Space in a Ring lattice

The final state at completion of time evolution. (a) Magnitude and (b) phase of the final states for the three cases considered: (I) Abelian \(\varphi =\alpha =0\) (blue), (II) quasi-Abelian \(\varphi \ne 0\), α = 0 (red) (III) non-Abelian \(\varphi \ne 0\), \(\alpha \ne 0\) (green). For (II) and (III) the magnitude vanishes in well A while for (I), in wells A, B and D, hence in (b) the phase is masked in those wells as irrelevant. The phase difference of π between wells B and C for cases (II) and (III) highlights agreement with the analytical structure of the dark states.