2021/02/28 by Parsa Bonderson
Mathematics · Physics and Astronomy · #Combinatorics #Invariant (physics) #Mathematics #Order (exchange) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum many-body systems #Quantum mechanics #Symmetry protected topological order #Tensor (intrinsic definition) #Theoretical physics #Topological Materials and Phenomena #Topological algebra #Topological entropy in physics #Topological order #Topological quantum number #Topological ring #Topological space #Topological vector space #Topology (electrical circuits) #Unitary state #cond-mat.mes-hall #cond-mat.str-el #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physrevresearch.3.033110
published as Phys. Rev. Research 3, 033110 (2021) · 32 pages, 10 figures; v2: minor corrections and updates
arxiv created 2021/08/02 · openalex publication_date 2021/08/02 · arxiv updated 2021/08/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The topological order of a (2+1)D topological phase of matter is characterized by its chiral central charge and a unitary modular tensor category that describes the universal fusion and braiding properties of its anyonic quasiparticles. I discuss the topologically invariant quantities associated with these and identify ones that are useful for determining the topological order. I propose a variety of physical experiments that probe these quantities and detail the relation of the measured data to the topological invariants.