4 papers · 1 filter
A scheme for topological phases of the Weyl -algebra
Giuseppe De Nittis, Santiago G. Rendel
In this work, we introduce a classification scheme for topological phases of matter based on the topology of the space of pure states of a model -algebra. Under it, topologica…
Hilbert Grassmannians as classifying spaces
Giuseppe De Nittis, Kiyonori Gomi, Santiago G. Rendel
In this short work we prove that the Hilbert Grassmannians endowed with the weak topology are models for the classifying spaces of the unitary groups. As application of this result…
Higher Abelian Quantum Double Models
Jorge Acuña Flores, Jorge Acuña Flores, Giuseppe De Nittis +1
This paper develops a rigorous -algebraic framework for higher abelian quantum double models, generalizing Kitaev's construction to simplicial complexes of arbitrary finite di…
Lieb-Robinson bounds in the continuum via localized frames
Sven Bachmann, Giuseppe De Nittis
We study the dynamics of interacting fermions in the continuum. Our approach uses the concept of lattice-localized frames, which we introduce here. We first prove a Lieb-Robinson b…