On Lieb–Robinson Bounds for a Class of Continuum Fermions
Benjamin Hinrichs,
Marius Lemm,
Oliver Siebert
Abstract:We consider the quantum dynamics of a many-fermion system in $${{\mathbb {R}}}^d$$
R
d
with an ultraviolet regularized pair interaction as previously studied in Gebert et al. (Ann Henri Poincaré 21(11):3609–3637, 2020). We provide a Lieb–Robinson bound under substantially relaxed assumptions on the potentials. We also improve the associated one-body Lieb–Robinson bound on $$L^2$$
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