Microscopic definitions of anyon data
Kyle Kawagoe, Michael Levin
Abstract
The algebraic theory of anyons is one of the most powerful tools for studying two-dimensional interacting topological phases of matter. However, despite its success, this formalism is lacking an important conceptual ingredient: concrete, microscopic definitions of the different pieces of `anyon data' that characterize anyon excitations. This paper fills the gap by providing precise operational definitions of every piece of anyon data.
Topics & Concepts
AnyonTopological quantum computerFormalism (music)Theoretical physicsPhysicsAlgebraic numberComputer scienceTheoretical computer scienceMathematicsQuantum mechanicsQuantumArtMusicalVisual artsMathematical analysisQuantum many-body systemsCold Atom Physics and Bose-Einstein CondensatesPhysics of Superconductivity and Magnetism