1 citations · 1 across the 1 of their papers we have counts for
3 papers
math-ph2018
On the stability of charges in infinite quantum spin systems
Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele
We consider a theory of superselection sectors for infinite quantum spin systems, describing charges that can be approximately localized in cone-like regions. The primary examples…
math-ph2017★ 1 cited
Topologically ordered states in infinite quantum spin systems
Matthew Cha
This dissertation discusses some properties of topologically ordered states as they appear in the setting of infinite quantum spin systems. We begin by studying the set of infinite…
math-ph2016
The complete set of infinite volume ground states for Kitaev's abelian quantum double models
Matthew Cha, Pieter Naaijkens, Bruno Nachtergaele
We study the set of infinite volume ground states of Kitaev's quantum double model on for an arbitrary finite abelian group . It is known that these models have a…