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Second Chern number of a quantum-simulated non-Abelian Yang monopole.

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 theories-a 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.

SUBMITTER: Sugawa S

PROVIDER: S-EPMC6561486 | biostudies-literature | 2018 Jun

REPOSITORIES: biostudies-literature

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Second Chern number of a quantum-simulated non-Abelian Yang monopole.

Sugawa Seiji S Salces-Carcoba Francisco F Perry Abigail R AR Yue Yuchen Y Spielman I B IB

Science (New York, N.Y.) 20180601 6396

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 theories-a Yang monopole. We quantify the monopole in terms of Chern numbers measured on enclosing manifolds: Whereas the well-known first Chern number van ...[more]

PMID: 29954972

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