6 papers
The Lieb-Robinson condition and the Fréchet topology
Sven Bachmann, Giuseppe De Nittis, Julián Gómez
We define various notions of locality for *-automorphisms of the algebra of observables for an infinitely extended quantum spin system and study their relationship. In particular,…
Topological description of pure invariant states of the Weyl -algebra
Giuseppe De Nittis, Santiago G. Rendel
In this work we study the topology of certain families of states of the Weyl -algebra with finite degrees of freedom. We focus on families of pure states characterized by symm…
Topological phases of non-interacting systems: A general approach based on states
Giuseppe De Nittis
In this work we provide a classification scheme for topological phases of certain systems whose observable algebra is described by a trivial -bundles. The classification is ba…
Explicit Spectral Analysis for Operators Representing the unitary group and its Lie algebra through the Metaplectic Representation and Weyl Quantization
Fabián Belmonte, Giuseppe de Nittis
In this article we compute and analyze the spectrum of operators defined by the metaplectic representation on the unitary group or operators defined by the corr…
Quantization of edge currents along magnetic interfaces: A K-theory approach
Giuseppe De Nittis, Esteban Gutiérrez
The purpose of this paper is to investigate the propagation of topological currents along magnetic interfaces (also known as magnetic walls) of a two-dimensional material. We consi…
Equivalence of Electric, Magnetic and Electromagnetic Chern Numbers for Topological Photonic Crystals
Giuseppe De Nittis, Max Lein
Haldane predicted an analog of the Integer Quantum Hall Effect in gyrotropic photonic crystals, where the net number of electromagnetic edge modes moving left-to-right is given by…