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arXiv · 2109.04103

On Lieb-Robinson bounds for the Bose-Hubbard model

Jérémy Faupin·Marius Lemm·Israel Michael Sigal
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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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Jérémy Faupin, Marius Lemm, Israel Michael Sigal. 2021-09-09. On Lieb-Robinson bounds for the Bose-Hubbard model. https://doi.org/10.1007/s00220-022-04416-8

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