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Symmetry protected topological orders and the group cohomology of their symmetry group

- Xie Chen, Z. Gu, Zhengxin Liu, X. Wen
- Physics
- 23 June 2011

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the… Expand

Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order

Two gapped quantum ground states in the same phase are connected by an adiabatic evolution which gives rise to a local unitary transformation that maps between the states. On the other hand, gapped… Expand

Classification of gapped symmetric phases in one-dimensional spin systems

Quantum many-body systems divide into a variety of phases with very different physical properties. The questions of what kinds of phases exist and how to identify them seem hard, especially for… Expand

Quantum Information Meets Quantum Matter

- B. Zeng, Xie Chen, Duanlu Zhou, X. Wen
- Physics, EducationQuantum Science and Technology
- 11 August 2015

This is the draft version of a textbook, which aims to introduce the quantum information science viewpoints on condensed matter physics to graduate students in physics (or interested researchers). We… Expand

Non-Abelian Topological Order on the Surface of a 3D Topological Superconductor from an Exactly Solved Model

- L. Fidkowski, Xie Chen, A. Vishwanath
- Physics, Mathematics
- 24 May 2013

Three dimensional topological superconductors (TScs) protected by time reversal (T) symmetry are characterized by gapless Majorana cones on their surface. Free fermion phases with this symmetry… Expand

Fracton Models on General Three-Dimensional Manifolds

- Wilbur E. Shirley, K. Slagle, Zhenghan Wang, Xie Chen
- MathematicsPhysical Review X
- 16 December 2017

Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in three spatial dimensions, contain some 'topological' features: they support fractional bulk excitations… Expand

Symmetry-Protected Topological Orders in Interacting Bosonic Systems

- Xie Chen, Z. Gu, Zhengxin Liu, X. Wen
- PhysicsScience
- 21 December 2012

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Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations

- Xie Chen, Zhengxin Liu, X. Wen
- Physics, Mathematics
- 23 June 2011

Topological insulators in free fermion systems have been well characterized and classified. However, it is not clear in strongly interacting boson or fermion systems what symmetry-protected… Expand

Complete classification of one-dimensional gapped quantum phases in interacting spin systems

Quantum phases with different orders exist with or without breaking the symmetry of the system. Recently, a classification of gapped quantum phases which do not break time reversal, parity or on-site… Expand

Symmetry-protected topological phases from decorated domain walls.

- Xie Chen, Yuan-Ming Lu, A. Vishwanath
- PhysicsNature communications
- 18 March 2013

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