Higher-order band topology

B ** in a photonic lattice
V Brosco, L Pilozzi, R Fazio, C Conti - Physical Review A, 2021 - APS
Non-Abelian gauge fields emerge naturally in the description of adiabatically evolving
quantum systems having degenerate levels. Here we show that they also play a role in …

Bloch oscillations of driven dissipative solitons in a synthetic dimension

N Englebert, N Goldman, M Erkintalo… - arxiv preprint arxiv …, 2021 - arxiv.org
The engineering of synthetic dimensions allows for the construction of fictitious lattice
structures by coupling the discrete degrees of freedom of a physical system, such as the …

Non-Abelian tensor Berry connections in multiband topological systems

G Palumbo - Physical Review Letters, 2021 - APS
Here, we introduce and apply non-Abelian tensor Berry connections to topological phases in
multiband systems. These gauge connections behave as non-Abelian antisymmetric tensor …

Three-dimensional non-Abelian Bloch oscillations and higher-order topological states

N Pan, T Chen, T Ji, X Tong, X Zhang - Communications Physics, 2023 - nature.com
Recently, higher-order topological insulators (HOTIs) have been introduced, and were
shown to host topological corner states under the theoretical framework of Benalcazar …

Bloch oscillations of Fibonacci anyons

X Zhou, W Zhang, H Yuan, X Zhang - Physical Review B, 2024 - APS
Non-Abelian anyons, which correspond to collective excitations possessing multiple fusion
channels and noncommuting braiding statistics, serve as the fundamental constituents for …