4 papers
Invariants of Sequential Circuits and Generalized Non-Abelian Statistics
Shintaro Sato, Yoshimasa Hidaka, Ryohei Kobayashi
Non-invertible symmetries in quantum many-body systems generally give rise to sequential unitary circuits that move symmetry defects. In this paper, we investigate invariants defin…
Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models
Po-Shen Hsin, Ryohei Kobayashi
High temperature is usually expected to destroy order: as the Gibbs state approaches the infinite-temperature limit, it becomes an equal-weight ensemble over all states and the sys…
Soft symmetries of topological orders
Ryohei Kobayashi, Maissam Barkeshli
(2+1)D topological orders possess emergent symmetries given by a group , which consists of the braided tensor autoequivalences of the modular tensor catego…
Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance
Po-Shen Hsin, Ryohei Kobayashi, Carolyn Zhang
We investigate fractionalization of non-invertible symmetry in (2+1)D topological orders. We focus on coset non-invertible symmetries obtained by gauging non-normal subgroups of in…