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math-ph2025
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,…
math-ph2025
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…
math-ph2025
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…