Title	A Dynamical Toric Code model and Stability of the superselection sectors of two-dimensional quantum lattice models
Creator	Nachtergaele, Bruno
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-06-03T16:30
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. We introduce a Dynamical Toric Code Model and discuss some of its features. (joint work with Matthew Cha, Pieter Naaijkens, and Nicholas Sherman)
Extent	60.0 minutes
Subject	Mathematics; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California Davis
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-12-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0386660
URI	http://hdl.handle.net/2429/72474
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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