Spielman, I.
, Salces, F.
, Yue, Y.
, Perry, A.
and Sugawa, S.
(2018),
Second Chern number of a quantum-simulated non-Abelian Yang monopole, Science
(Accessed May 1, 2025)
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Second Chern number of a quantum-simulated non-Abelian Yang monopole
Published
Author(s)
, , , Abigail Perry, Seiji Sugawa
Abstract
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.Citation
Science
Pub Type
Journals
Keywords
Magnetic monopole, Yang-Mills field theory, Bose-Einstein condensate
Citation
Issues
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Created June 29, 2018, Updated October 24, 2018