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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
Stacking and the triviality of invertible phases
Sven Bachmann, Alan Getz, Pieter Naaijkens +1
We study the superselection sectors of two quantum lattice systems stacked onto each other in the operator algebraic framework. We show in particular that all irreducible sectors o…
math-ph2025
Gaussian filters in quantum lattice systems: Applications to spectral flow, local perturbations, clustering, and the quantum Hall effect
Sven Bachmann, Zhiqian, Du +2
We consider the locality and spectral properties of the smearing \[ τ_f(A) = \int_{-\infty}^\infty dt \, f(t) \, τ_t(A) \] when applied to the dynamics of quantum spin system…