Séminaire de Physique Mathématique

Stability of the Superselection Sectors of Two-Dimensional Quantum Lattice Models

by Nachtergaele Bruno (University of California Davis & IHES)

Europe/Paris
Amphithéâtre Léon Motchane (I.H.E.S.)

Amphithéâtre Léon Motchane

I.H.E.S.

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

Kitaev's quantum double models provide a rich class of examples of two-dimensional lattice systems with topological order in the ground states and a spectrum described by anyonic elementary excitations. The infinite volume ground states of the abelian quantum double models come in a number of equivalence classes called superselection sectors. We prove that the superselection structure remains unchanged under uniformly small perturbations of the Hamiltonians. (joint work with Matthew Cha and Pieter Naaijkens)

Organized by

Slava Rychkov

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