BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

A Dynamical Toric Code model and Stability of the superselection sectors of two-dimensional quantum lattice models Nachtergaele, Bruno


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. We introduce a Dynamical Toric Code Model and discuss some of its features. (joint work with Matthew Cha, Pieter Naaijkens, and Nicholas Sherman)

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