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Open Quantum Systems Decoherence
Quantum Simulation
On Lieb-Robinson bounds for the Bose-Hubbard model
arXiv
Authors: Jérémy Faupin, Marius Lemm, Israel Michael Sigal
Year
2021
Paper ID
61694
Status
Preprint
Abstract Read
~2 min
Abstract Words
69
Citations
N/A
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 Schrödinger operators and scattering theory in non-relativistic QED.
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- 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...
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