2016/01/31 by Shunji Matsuura, Xueda Wen, Ling-Yan Hung +1 · 1 citation
Mathematics · Physics and Astronomy · #Entropy (arrow of time) #Mathematics #Physics #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Quasiparticle #Squashed entanglement #Symmetry protected topological order #Topological Materials and Phenomena #Topological entropy #Topological entropy in physics #Topological order #Topological quantum number #Topology (electrical circuits) #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevb.93.195113
published as Phys. Rev. B 93, 195113 (2016) · 14 pages, Explanation added in section 3
arxiv created 2016/02/25 · openalex publication_date 2016/05/06 · arxiv updated 2016/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A charged entanglement entropy is a new measure which probes quantum entanglement between different charge sectors. We study symmetry-protected topological (SPT) phases in (2+1)-dimensional space-time by using this charged entanglement entropy. SPT phases are short-range entangled states without topological order and hence cannot be detected by the topological entanglement entropy. We demonstrate that the universal part of the charged entanglement entropy is nonzero for nontrivial SPT phases and therefore it is a useful measure to detect short-range entangled topological phases. We also discuss that the classification of SPT phases based on the charged topological entanglement entropy is related to that of the braiding statistics of quasiparticles.