The breaking of quantum double symmetries by defect condensation

DOI10.1016/j.aop.2006.05.010zbMath1326.81102arXivcond-mat/0602115OpenAlexW2089340172MaRDI QIDQ870347

C. J. M. Mathy, F. Alexander Bais

Publication date: 12 March 2007

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

Full work available at URL: https://arxiv.org/abs/cond-mat/0602115

zbMATH Keywords

Hopf algebrasphase transitionsquantum doublesliquid crystalstopological phasesdefect condensates

Mathematics Subject Classification ID

Symmetry breaking in quantum theory (81R40) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items (5)

The breaking of quantum double symmetries by defect condensation ⋮ Nematic phases and the breaking of double symmetries ⋮ Gapped interfaces in Fracton models and foliated fields ⋮ Theory of twist liquids: Gauging an anyonic symmetry ⋮ Anyonic order parameters for discrete gauge theories on the lattice

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The breaking of quantum double symmetries by defect condensation
• Nematic phases and the breaking of double symmetries
• Tensor product representations of the quantum double of a compact group
• Topological field theory and the quantum double of \(\text{SU}(2)\)
• Simulation of topological field theories by quantum computers
• Fault-tolerant quantum computation by anyons
• Quantum Hall states of high symmetry
• Unraveling Spontaneously Broken Abelian Chern-Simons Theories
• Reliable quantum computers
• Internal frame dragging and a global analog of the Aharonov-Bohm effect
• Topological quantum memory
• Quantum groups and non-Abelian braiding in quantum Hall systems

This page was built for publication: The breaking of quantum double symmetries by defect condensation