Mathematical Physics
[Submitted on 9 Sep 2021
(v1)
, last revised 15 Jun 2022 (this version, v2)]
Title: On Lieb-Robinson bounds for the Bose-Hubbard model
Title: 关于玻色-哈伯德模型的李-罗宾逊界限
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.
Submission history
From: Jeremy Faupin [view email][v1] Thu, 9 Sep 2021 08:48:06 UTC (19 KB)
[v2] Wed, 15 Jun 2022 12:15:25 UTC (25 KB)
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