Second Chern number of a quantum-simulated non-Abelian Yang monopole
Ian B. Spielman, Francisco Salces Carcoba, Yuchen Yue, Abigail Perry, Seiji Sugawa
Topological order is often quantified in terms of Chern numbers, each of which classifies a topological singularity. Here, inspired by concepts from high-energy physics, we use quantum simulation based on the spin degrees of freedom of atomic Bose-Einstein condensates to characterize a singularity present in five-dimensional non-Abelian gauge theoriesa Yang monopole. We quantify the monopole in terms of Chern numbers measured on enclosing manifolds: Whereas the well-known first Chern number vanishes, the second Chern number does not. By displacing the manifold, we induce and observe a topological transition, where the topology of the manifold changes to a trivial state.
Magnetic monopole, Yang-Mills field theory, Bose-Einstein condensate
, Salces, F.
, Yue, Y.
, Perry, A.
and Sugawa, S.
Second Chern number of a quantum-simulated non-Abelian Yang monopole, Science
(Accessed August 10, 2022)