Uniquely identifying topological order based on boundary-bulk duality and anyon condensation.

ABSTRACT: Topological order is a new quantum phase that is beyond Landau's symmetry-breaking paradigm. Its defining features include robust degenerate ground states, long-range entanglement and anyons. It was known that R and F matrices, which characterize the fusion-braiding properties of anyons, can be used to uniquely identify topological order. In this article, we explore an essential question: how can the R and F matrices be experimentally measured? We show that the braidings, i.e. the R matrices, can be completely determined by the half braidings of boundary excitations due to the boundary-bulk duality and the anyon condensation. The F matrices can also be measured by comparing the quantum states involving the fusion of three anyons in two different or

SUBMITTER: Hai YJ 

PROVIDER: S-EPMC10007699 | biostudies-literature | 2023 Mar

REPOSITORIES: biostudies-literature