Fig. 1: Schematics of the non-Abelian topological BOs.
From: Non-Abelian Bloch oscillations in higher-order topological insulators
a The center-of-mass position \(\left\langle {\bf{r}}\right\rangle\) of a gaussian wavepacket experiences a sign-changing Hall drift under the applied force F, while displaying a synchronized beating within two occupied bands. This synchronized effect, represented by the metronome, is topologically protected by the winding number w. b BBH model: a square lattice with π flux and staggered hopping amplitudes J1 and J2. Vertical bonds with arrows correspond to a Peierls phase π in the hopping amplitudes. c Band structure of the model. Each band is twofold degenerate. d Brillouin zones and paths \({\mathcal{C}}\) and \(\bar{{\mathcal{C}}}\) exhibiting topological BOs.
