Probing Non-Abelian Topology through Quench Dynamics
Abstract
Quench dynamics offer valuable insights to topological matter, wherein the emergent topological phenomena serve as a dynamic probe to the topology of static Hamiltonians. While such a practice has been widely applied to detect the Abelian band topology or the Euler-class topology of band nodes, little is known regarding the quench dynamics of non-Abelian topological insulators in multiband systems, where the intertwining geometry of all eigenstates necessitates the description of noncommutative topological charges. Here we propose a quench protocol for non-Abelian topological insulators, so that the underlying topology can be systematically probed using dynamic signatures. Specifically, we develop a band-projection scheme to extract the gap-resolved topology from dynamic skyrmions in the emergent quasimomentum--time manifolds of the quench processes. These skyrmions are characterized by a series of gap-resolved dynamic Chern numbers, which enable us to reconstruct the full non-Abelian topology of the post-quench Hamiltonian, including the global non-Abelian topological charge and edge-state patterns under the open-boundary condition. Our proposal offers dynamical access to non-Abelian topology in multiband systems, and can be readily implemented using photons or cold atoms.
Related
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- Probing the Fermi Sea Topology in a Quantum Gas
- Resource Assessment of Classical and Quantum Hardware for Post-Quench Dynamics
- String Order in Quench Dynamics as a Probe of Quantum Phase Transitions
- Small-quench Loschmidt dynamics near quantum critical points
BibTeX
@misc{zhang2026probing,
title = {{Probing Non-Abelian Topology through Quench Dynamics}},
author = {Zhenming Zhang and Tianyu Li and Wei Yi},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07456},
eprint = {2611.07456},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07456},
}
RIS
TY - UNPB
TI - Probing Non-Abelian Topology through Quench Dynamics
AU - Zhenming Zhang
AU - Tianyu Li
AU - Wei Yi
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07456
UR - https://arxiv.org/abs/2611.07456
AB - Quench dynamics offer valuable insights to topological matter, wherein the emergent topological phenomena serve as a dynamic probe to the topology of static Hamiltonians. While such a practice has been widely applied to detect the Abelian band topology or the Euler-class topology of band nodes, little is known regarding the quench dynamics of non-Abelian topological insulators in multiband systems, where the intertwining geometry of all eigenstates necessitates the description of noncommutative topological charges. Here we propose a quench protocol for non-Abelian topological insulators, so that the underlying topology can be systematically probed using dynamic signatures. Specifically, we develop a band-projection scheme to extract the gap-resolved topology from dynamic skyrmions in the emergent quasimomentum--time manifolds of the quench processes. These skyrmions are characterized by a series of gap-resolved dynamic Chern numbers, which enable us to reconstruct the full non-Abelian topology of the post-quench Hamiltonian, including the global non-Abelian topological charge and edge-state patterns under the open-boundary condition. Our proposal offers dynamical access to non-Abelian topology in multiband systems, and can be readily implemented using photons or cold atoms.
ER -