7 papers
Quantized topological invariant of symmetry-projected Gibbs states
Weiguang Cao, Haruki Watanabe
We study Gibbs states projected onto the symmetric sector of contractible one-form symmetries. In a three-dimensional cluster-model interpolation, this projection stabilizes symmet…
Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals
Weiguang Cao, Haruki Watanabe
Do two Hamiltonians related by a non-invertible transformation necessarily share the same finite-temperature phase diagram? For a cluster-model interpolation and its Kennedy…
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…
Noninvertible Symmetry-Enriched Quantum Critical Point
Linhao Li, Rui-Zhen Huang, Weiguang Cao
Noninvertible symmetry generalizes traditional group symmetries, advancing our understanding of quantum matter, especially one-dimensional gapped quantum systems. In critical latti…