5 papers
Algebraic higher symmetry and categorical symmetry -- a holographic and entanglement view of symmetry
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We introduce the notion of algebraic higher symmetry, which generalizes higher symmetry and is beyond higher group. We show that an algebraic higher symmetry in a bosonic system in…
Measuring the Unique Identifiers of Topological Order Based on Boundary-Bulk Duality and Anyon Condensation
Yong-Ju Hai, Ze Zhang, Hao Zheng +3
A topological order is a new quantum phase that is beyond Landau's symmetry-breaking paradigm. Its defining features include robust degenerate ground states, long-range entanglemen…
Classification of topological phases with finite internal symmetries in all dimensions
Liang Kong, Tian Lan, Xiao-Gang Wen +2
We develop a mathematical theory of symmetry protected trivial (SPT) orders and anomaly-free symmetry enriched topological (SET) orders in all dimensions via two different approach…
Pointed Drinfeld center functor
Liang Kong, Wei Yuan, Hao Zheng
In this work, using the functoriality of Drinfeld center of fusion categories, we generalize an earlier result on the functoriality of full center of simple separable algebras in a…
Genuine Hydrodynamic Analysis to the 1-D QHD system: Existence, Dispersion and Stability
Paolo Antonelli, Pierangelo Marcati, Hao Zheng
In this paper we consider the one dimensional quantum hydrodynamics (QHD) system, with a genuine hydrodynamic approach. The global existence of weak solutions with large data has b…