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- Xiao-Gang Wen

BMO Financial Group Isaac Newton Chair in Theoretical Physics (Visiting)

Area of Research:

Email: xwen@perimeterinstitute.ca

Phone: x8573

Xiao-Gang Wen is the BMO Financial Group Isaac Newton Chair in Theoretical Physics at Perimeter Institute. He received his Ph.D from Princeton University in 1987. Wen became a five-year member of IAS at Princeton in 1989 and joint MIT in 1991. Wen is a Cecil and Ida Green professor of Physics at MIT, and a Distinguished Moore Scholar at Caltech.

Wen's expertise is in condensed matter theory of strongly correlated electronic systems. He introduced the notion of topological order (1989) and quantum order (2002), to describe a new class of matter states. This opens up a new research direction in condensed matter physics. He found that states with topological order contain non-trivial boundary excitations and developed chiral Luttinger theory for the boundary states (1990). The boundary states can become ideal conduction channel which may leads to device application of topological phases. He proposed the simplest topological order -- Z2 topological order (1990), which turns out to be the topological order in the toric code. He also proposed a special class of topological order: non-Abelian quantum Hall states. They contain emergent particles with non-Abelian statistics which generalizes the well known Bose and Fermi statistics. Non-Abelian particles may allow us to perform fault tolerant quantum computations. With Levin, he found that string-net condensations can give rise to a large class of topological orders (2005). In particular, string-net condensation provides a unified origin of photons, electrons, and other elementary particles (2003). It unifies two fundamental phenomena: gauge interactions and Fermi statistics. He pointed out that topological order is nothing but the pattern of long range entanglements. This led to a notion of symmetry protected topological (SPT) order (short-range entangled states with symmetry) and its description by group cohomology of the symmetry group (2011). The notion of SPT order generalizes the notion of topological insulator to interacting cases. He also proposed the SU(2) gauge theory of high temperature superconductors (1996).

University of Waterloo. [Potential PhD students should apply to the Physics Department at the University of Waterloo. Students interested in pursuing studies for an MSc should apply to Perimeter's

Xiao-Gang Wen's research field is condensed matter theory. He has been working on strongly correlated electronic systems, which include:

Theory of Highly Entangled Quantum Systems (such as the theory of topological/quantum order)

Mathematical Foundation of Many-body Entanglements (tensor category theory and group cohomology theory)

Theory of High Temperature Superconductors

Origin and Unification of Elementary Particles (such as light and electrons)

Theory of Quantum Hall Effect and Non-Abelian Statistics

- Jia-Wei Mei, Xiao-Gang Wen Design local spin models for Gutzwiller-projected parton wave functions arXiv: 1407.0869
- Liang Kong, Xiao-Gang Wen Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions arXiv: 1405.5858
- Heidar Moradi, Xiao-Gang Wen Universal Topological Data for Gapped Quantum Liquids in Three Dimensions and Fusion Algebra for Non-Abelian String Excitations arXiv: 1404.4618
- Huan He, Heidar Moradi, Xiao-Gang Wen Modular Matrices as Topological Order Parameter by Gauge Symmetry Preserved Tensor Renormalization Approach arXiv: 1401.5557
- Ling-Yan Hung, Xiao-Gang Wen Universal symmetry-protected topological invariants for symmetry-protected topological states Phys. Rev. B 89, 075121 (2014) arXiv: 1311.5539
- Tian Lan, Xiao-Gang Wen Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models arXiv: 1311.1784
- Zheng-Cheng Gu, Zhenghan Wang, Xiao-Gang Wen Lattice Model for Fermionic Toric Code Phys. Rev. B 90, 085140 (2014) arXiv: 1309.7032
- Bosonic Anomaly, Induced Fractional Quantum Number and Degenerate Zero Modes - the anomalous edge physics of Symmetry Protected Topological States, Juven Wang, Luiz H. Santos, Xiao-Gang Wen, arXiv: 1403.5256

- Topological order and tensor category Les Houches
- Topological order and tensor category ESI, Vienna
- Gauge and gauge-gravity mixed anomalies and SPT order Tsinghua, Beijing
- Topological order and SPT order in frustrated magnets Cambridge Univ, Cambridge
- Gauge and gauge-gravity mixed anomalies and SPT order Dresden
- Highly entangled quantum matter and SPT states Benasque, Spain
- Gapped quantum matter, many-body quantum entanglement, and (symmetry-protected) topological orders The Euler International Mathematical Institute St Petersburg
- Highly entangled quantum materials and Superconductivity induced by pure Coulomb interaction and orbital T-breaking Eurasia-Pacific Conference 2013 on Strongly Correlated Electrons, S. Korea
- Long-range entangled quantum matter and a unification of force, matter, and information Weihai, China
- SPT orders, gauge anomalies, and a lattice definition of anomaly-free chiral theories IAS Tsinghua Univ. Beijing
- The world of long-range entanglement -- A unification of many research fields: condensed matter, particle physics, string theory, quantum information, mathematical physics, quantum foundation, ... DRSTP, Holland
- Superconductivity induced by pure Coulomb interaction and T-breaking Beijing forum on high Tc superconductivity. Teng-Chong, China
- SPT orders, gauge anomalies, and a lattice definition of anomaly-free chiral theories Simons Center for Geometry and Physics, Stoney Brook
- The mathematical languages for patterns of quantum entanglement AMS meeting, Boston
- The mathematical languages for patterns of quantum entanglement Math Dept., Toronto Univ.
- PIRSA:14010108, Emergence and Entanglement: A New World of Condensed Matter Physics, 2014-01-30, PI Day 2014
- PIRSA:13110045, 13/14 PSI - Condensed Matter - Lecture 15, 2013-11-29, 13/14 PSI - Condensed Matter
- PIRSA:13110044, 13/14 PSI - Condensed Matter - Lecture 14, 2013-11-28, 13/14 PSI - Condensed Matter
- PIRSA:13110043, 13/14 PSI - Condensed Matter - Lecture 13, 2013-11-27, 13/14 PSI - Condensed Matter
- PIRSA:13110042, 13/14 PSI - Condensed Matter - Lecture 12, 2013-11-26, 13/14 PSI - Condensed Matter
- PIRSA:13110041, 13/14 PSI - Condensed Matter - Lecture 11, 2013-11-25, 13/14 PSI - Condensed Matter
- PIRSA:13110094, the physical meaning of tensor category and its application to condensed matter, 2013-11-25, Condensed Matter
- PIRSA:13110038, 13/14 PSI - Condensed Matter - Lecture 10, 2013-11-22, 13/14 PSI - Condensed Matter
- PIRSA:13110037, 13/14 PSI - Condensed Matter - Lecture 9, 2013-11-21, 13/14 PSI - Condensed Matter
- PIRSA:13110036, 13/14 PSI - Condensed Matter - Lecture 8, 2013-11-20, 13/14 PSI - Condensed Matter
- PIRSA:13110035, 13/14 PSI - Condensed Matter - Lecture 7, 2013-11-19, 13/14 PSI - Condensed Matter
- PIRSA:13110034, 13/14 PSI - Condensed Matter - Lecture 6, 2013-11-18, 13/14 PSI - Condensed Matter
- PIRSA:13110031, 13/14 PSI - Condensed Matter - Lecture 5, 2013-11-15, 13/14 PSI - Condensed Matter
- PIRSA:13110030, 13/14 PSI - Condensed Matter - Lecture 4, 2013-11-14, 13/14 PSI - Condensed Matter
- PIRSA:13110029, 13/14 PSI - Condensed Matter - Lecture 3, 2013-11-13, 13/14 PSI - Condensed Matter
- PIRSA:13110028, 13/14 PSI - Condensed Matter - Lecture 2, 2013-11-12, 13/14 PSI - Condensed Matter
- PIRSA:13110027, 13/14 PSI - Condensed Matter - Lecture 1, 2013-11-11, 13/14 PSI - Condensed Matter
- PIRSA:13110079, Discussion, 2013-11-08, PI-UIUC 2013
- PIRSA:13040061, 12/13 PSI - Explorations in Condensed Matter Lecture 15, 2013-04-26, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040060, 12/13 PSI - Explorations in Condensed Matter Lecture 14, 2013-04-25, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040059, 12/13 PSI - Explorations in Condensed Matter Lecture 13, 2013-04-24, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040058, 12/13 PSI - Explorations in Condensed Matter Lecture 12, 2013-04-23, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040057, 12/13 PSI - Explorations in Condensed Matter Lecture 11, 2013-04-22, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040054, 12/13 PSI - Explorations in Condensed Matter Lecture 10, 2013-04-19, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040053, 12/13 PSI - Explorations in Condensed Matter Lecture 9, 2013-04-18, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040052, 12/13 PSI - Explorations in Condensed Matter Lecture 8, 2013-04-17, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040051, 12/13 PSI - Explorations in Condensed Matter Lecture 7, 2013-04-16, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040050, 12/13 PSI - Explorations in Condensed Matter Lecture 6, 2013-04-15, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040047, 12/13 PSI - Explorations in Condensed Matter Lecture 5, 2013-04-12, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040046, 12/13 PSI - Explorations in Condensed Matter Lecture 4, 2013-04-11, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040045, 12/13 PSI - Explorations in Condensed Matter Lecture 3, 2013-04-10, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040044, 12/13 PSI - Explorations in Condensed Matter Lecture 2, 2013-04-09, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:13040043, 12/13 PSI - Explorations in Condensed Matter Lecture 1, 2013-04-08, 12/13 PSI - Explorations in Condensed Matter
- PIRSA:12100132, An Informal Discussion About Topological Gauge Theory, part 2, 2012-10-30, Condensed Matter
- PIRSA:12100129, An informal discussion about topological gauge theory, 2012-10-23, Condensed Matter
- PIRSA:12030121, Topological Phases of Matter and Patterns of Quantum Entanglements, 2012-03-27, Condensed Matter
- PIRSA:10050076, Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order, 2010-05-27, Emergence and Entanglement - 2010
- PIRSA:10010067, Condensed Matter Review (PHYS 637) - Lecture 15, 2010-01-22, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010066, Condensed Matter Review (PHYS 637) - Lecture 14, 2010-01-21, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010065, Condensed Matter Review (PHYS 637) - Lecture 13, 2010-01-20, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010064, Condensed Matter Review (PHYS 637) - Lecture 12, 2010-01-19, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010063, Condensed Matter Review (PHYS 637) - Lecture 11, 2010-01-18, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010041, Condensed Matter Review (PHYS 637) - Lecture 10, 2010-01-15, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010060, Condensed Matter Review (PHYS 637) - Lecture 9, 2010-01-15, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010059, Condensed Matter Review (PHYS 637) - Lecture 8, 2010-01-14, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010058, Condensed Matter Review (PHYS 637) - Lecture 7, 2010-01-13, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010057, Condensed Matter Review (PHYS 637) - Lecture 6, 2010-01-12, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010056, Condensed Matter Review (PHYS 637) - Lecture 5, 2010-01-11, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010053, Condensed Matter Review (PHYS 637) - Lecture 4, 2010-01-08, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010052, Condensed Matter Review (PHYS 637) - Lecture 3, 2010-01-07, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010051, Condensed Matter Review (PHYS 637) - Lecture 2, 2010-01-06, 09/10 PSI - Condensed Matter (Review)
- PIRSA:10010050, Condensed Matter Review (PHYS 637) - Lecture 1, 2010-01-05, 09/10 PSI - Condensed Matter (Review)
- PIRSA:08110003, The emergence of photons, electrons, and gravitons from quantum qbit systems, 2008-11-12, Colloquium
- PIRSA:05110013, An origin of light and electrons -- a unification of gauge interaction and Fermi statistics , 2005-11-18, Emergence of Spacetime Workshop - 2005

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