An introduction to quantum order, string-net condensation, and emergence of light and fermions

DOI10.1016/j.aop.2004.07.001zbMath1068.81054arXivcond-mat/0406441OpenAlexW3103181305MaRDI QIDQ1772395

Xiao-Gang Wen

Publication date: 18 April 2005

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0406441

zbMATH Keywords

Gauge theoryQuantum ordersString-net condensationTopological order

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02) Quantum optics (81V80) Symmetry breaking in quantum theory (81R40) Many-body theory; quantum Hall effect (81V70) Statistical mechanics of liquids (82D15) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (4)

Trotter errors in digital adiabatic quantum simulation of quantum ℤ2 lattice gauge theory ⋮ Stochastic gravity: theory and applications ⋮ Mapping local Hamiltonians of fermions to local Hamiltonians of spins ⋮ On symmetric representations of 𝑆𝐿₂(ℤ)

Cites Work

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• Ground states of quantum antiferromagnets in two dimensions
• Quantum field theory and the Jones polynomial
• Topological order and conformal quantum critical points
• A modular functor which is universal for quantum computation
• Fault-tolerant quantum computation by anyons
• Field theories with « Superconductor » solutions
• Plasmons, Gauge Invariance, and Mass

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