“Symmetry protected topological phases from decorated domain walls” “Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator”
Xie Chen, Lukasz Fidkowski, Ashvin Vishwanath
Phys. Rev. B 89, 165132 (2014)
A proposal that the 2D surface of 3D topological insulators can be gapped without breaking symmetry due to strong interaction and results in exotic topological properties on the surface.
“Symmetry Protected Topological Orders in Interacting Bosonic Systems”
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen
Science 338, 1604 (2012)
A systematic construction of bosonic SPT phases with any internal symmetry and in any dimension.
“Symmetry protected topological orders and the group cohomology of their symmetry group”
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen
Phys. Rev. B 87, 155114 (2011)
A systematic construction of bosonic SPT phases with any internal symmetry and in any dimension.
“Two-dimensional symmetry protected topological orders and their protected gapless edge excitations”
Xie Chen, Zheng-Xin Liu, Xiao-Gang Wen
Phys. Rev. B 84, 235141 (2011)
Construction of nontrivial 2D SPT model with Z_2 symmetry. The non trivialness of the boundary is proven using the matrix product operator formalism.
“Classification of Gapped Symmetric Phases in One-dimensional Spin Systems”
“Bosonic topological crystalline insulators and anomalous symmetry fractionalization via the flux-fusion anomaly test”
Michael Hermele , Xie Chen
arXiv:1508.00573, (2015)
The flux fusion anomaly test and its application to 2D topological phases with spatial symmetry.
“Anomalous Symmetry Fractionalization and Surface Topological Order”
Xie Chen, Fiona J. Burnell, Ashvin Vishwanath, Lukasz Fidkowski
arXiv:1403.6491, (accepted by Phys. Rev. X)
A general method for detecting anomalies in 2D symmetry fractionalization patterns with discrete unitary internal symmetries. The procedure is demonstrated explicitly using the projective semion model.
“'Gauging' time reversal symmetry in tensor network states”
Xie Chen, Ashvin Vishwanath
arXiv:1401.3736, (2014)
Introduce the notion of ‘gauging’ time reversal symmetry in the tensor network formalism and demonstrate how it can be used to detect topological order.
“Tensor Product Representation of Topological Ordered Phase: Necessary Symmetry Conditions”
Xie Chen, Bei Zeng, Zheng-Cheng Gu, Isaac L. Chuang, Xiao-Gang Wen
Phys. Rev. B 82, 165119 (2010)
Study the stability in the tensor network representation of Z_2 topological order and find a necessary symmetry condition.
“Classification of Gapped Symmetric Phases in One-dimensional Spin Systems”
“Local Unitary Transformation, Long-Range Quantum Entanglement, Wave Function Renormalization, and Topological Order”
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen
Phys. Rev. B 82, 155138 (2010)
Define long / short range entanglement and propose their detection from wave function renormalization.
“Quantum circuit complexity of one-dimensional topological phases”
Yi-Chen Huang, Xie Chen
Physical Review B 91, 195143 (2015)
Proving that one dimensional (symmetric) topological phases require a (symmetric) quantum circuit of at least linear depth to be generated.
“Gapped Two-body Hamiltonian whose Unique Ground State is Universal for One-way Quantum Computation”
Xie Chen, Bei Zeng, Zhengcheng Gu, Beni Yoshida, Isaac L. Chuang
Phys. Rev. Lett. 102, 220501 (2009)
A two-body Hamiltonian resource state for measurement based quantum computation.