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Open Quantum Systems Decoherence
Quantum Simulation
Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in mathbb{R}d
arXiv
Authors: Martin Gebert, Bruno Nachtergaele, Jake Reschke, Robert Sims
Year
2019
Paper ID
39540
Status
Preprint
Abstract Read
~2 min
Abstract Words
70
Citations
N/A
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 Schrödinger 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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We introduce a class of UV-regularized two-body interactions for fermions in mathbbR^d and prove a Lieb-Robinson estimate for the dynamics of this class of many-body systems.
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