156 citations · 1.3k across the 31 of their papers we have counts for
16 papers · 1 filter
Quantum Current and Holographic Categorical Symmetry
Tian Lan, Jing-Ren Zhou
We establish the formulation for quantum current. Given a symmetry group , let be its representation category. Physically, symmetry charges are obj…
A lattice realization of general three-dimensional topological order
Wenjie Xi, Ya-Lei Lu, Tian Lan +1
Topological orders are a class of phases of matter that beyond the Landau symmetry breaking paradigm. The two (spatial) dimensional (2d) topological orders have been thoroughly stu…
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…
Gapped domain walls between 2+1D topologically ordered states
Tian Lan, Xueda Wen, Liang Kong +1
The 2+1D topological order can be characterized by the mapping-class-group representations for Riemann surfaces of genus-1, genus-2, etc. In this paper, we use those representation…
Matrix formulation for non-Abelian families
Tian Lan
We generalize the matrix formulation to non-trivial non-Abelian families of 2+1D topological orders. Given a topological order , any topological order in the same n…
Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries and in any dimensions
Tian Lan, Chenchang Zhu, Xiao-Gang Wen
We use higher dimensional bosonization and fermion decoration to construct exactly soluble interacting fermion models to realize fermionic symmetry protected trivial (SPT) orders (…