On Lieb-Robinson bounds for the Bose-Hubbard model

• URL: http://arxiv.org/abs/2109.04103v2
• Date: Wed, 15 Jun 2022 12:15:25 GMT
• Title: On Lieb-Robinson bounds for the Bose-Hubbard model
• Authors: J\'er\'emy Faupin, Marius Lemm and Israel Michael Sigal
• Abstract summary: We consider the dynamics of the Bose-Hubbard model on general lattices. We obtain a maximal velocity bound for particle transport through an initially empty region.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We consider the dynamics of the Bose-Hubbard model on general lattices and prove a Lieb-Robinson bound for observables whose supports are separated by an initially almost particle-free region. We further obtain a maximal velocity bound for particle transport through an initially empty region which also applies to long-range hopping. Our techniques originate in the proofs of maximal velocity bounds for Schr\"odinger operators and scattering theory in non-relativistic QED.

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