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arXiv · 1912.12552

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

Martin Gebert·Bruno Nachtergaele·Jake Reschke·Robert Sims
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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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Martin Gebert, Bruno Nachtergaele, Jake Reschke, Robert Sims. 2019-12-29. Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in $\mathbb{R}^d$. https://doi.org/10.1007/s00023-020-00959-5

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