5 papers · 1 filter
Anyons in the -flux phase of fermionic matter coupled to a -gauge field
Sven Bachmann, Leonardo Goller, Marcello Porta
We consider a system of weakly interacting spinful lattice fermions coupled to a dynamical gauge field. Using reflection positivity, we prove that the ground state l…
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,…
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…
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 \[ Ï_f(A) = \int_{-\infty}^\infty dt \, f(t) \, Ï_t(A) \] when applied to the dynamics of quantum spin sys…
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…