Generalized Statistics on Lattices

Generalized Statistics on Lattices Kobayashi, Ryohei; Li, Yuyang; Xue, Hanyu; Hsin, Po-Shen; Chen, Yu-An The statistics of particles and extended excitations, such as loops and membranes, are fundamental to modern condensed matter physics, high-energy physics, and quantum information science, yet a comprehensive lattice-level framework for computing them remains elusive. In this work, we develop a universal microscopic method to determine the generalized statistics of Abelian excitations on latt