Related papers: Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in $\mathbb{R}^d$

Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in $\mathbb{R}^d$

URL: http://arxiv.org/abs/1912.12552v2
Date: Wed, 8 Jan 2020 02:18:29 GMT
Title: Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in $\mathbb{R}^d$
Authors: Martin Gebert, Bruno Nachtergaele, Jake Reschke, Robert Sims
Abstract summary: We introduce a class of UV-regularized two-body interactions for fermions in $mathbbRd$ and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. We also prove a propagation bound of Lieb-Robinson type for Schr"odinger operators.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We introduce a class of UV-regularized two-body interactions for fermions in $\mathbb{R}^d$ and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems. As a step toward this result, we also prove a propagation bound of Lieb-Robinson type for Schr\"odinger operators. We apply the propagation bound to prove the existence of infinite-volume dynamics as a strongly continuous group of automorphisms on the CAR algebra.

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