5 papers
Lattice non-invertible symmetry from non-commuting transfer matrices
Eric Vernier, Yuan Miao, Masahito Yamazaki
Conventional quantum integrability is encoded in a commuting algebra of transfer matrices. By contrast, several models possess additional non-commuting conserved charges with impor…
Exact Quantum Many-Body Scars in 2D Quantum Gauge Models
Yuan Miao, Linhao Li, Hosho Katsura +1
Quantum many-body scars (QMBS) serve as important examples of ergodicity-breaking phenomena in quantum many-body systems. Despite recent extensive studies, exact QMBS are rare in d…
Duality viewpoint of noninvertible symmetry protected topological phases
Weiguang Cao, Masahito Yamazaki, Linhao Li
Recent advancements in generalized symmetries have drawn significant attention to gapped phases of matter exhibiting novel symmetries, such as noninvertible symmetries. By leveragi…
Global symmetries of quantum lattice models under non-invertible dualities
Weiguang Cao, Yuan Miao, Masahito Yamazaki
Non-invertible dualities/symmetries have become an important tool in the study of quantum field theories and quantum lattice models in recent years. One of the most studied example…
Generating Lattice Non-invertible Symmetries
Weiguang Cao, Linhao Li, Masahito Yamazaki
Lattice non-invertible symmetries have rich fusion structures and play important roles in understanding various exotic topological phases. In this paper, we explore methods to gene…