A lattice model for condensation in Levin-Wen systems
Jessica Siegel Christian, David Green, Peter Huston, David Penneys
Abstract
A bstract Levin-Wen string-net models provide a construction of (2+1)D topologically ordered phases of matter with anyonic localized excitations described by the Drinfeld center of a unitary fusion category. Anyon condensation is a mechanism for phase transitions between (2+1)D topologically ordered phases. We construct an extension of Levin-Wen models in which tuning a parameter implements anyon condensation. We also describe the classification of anyons in Levin-Wen models via representation theory of the tube algebra, and use a variant of the tube algebra to classify low-energy localized excitations in the condensed phase.
Topics & Concepts
AnyonTopological quantum computerPhysicsCondensationTheoretical physicsLattice (music)Toric codeUnitary statePhase transitionQuantum mechanicsMathematical physicsQuantumThermodynamicsTopological orderLawPolitical scienceAcousticsQuantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesTheoretical and Computational Physics