On Lieb-Robinson bounds for the Bose-Hubbard model
arXiv:2109.04103 · doi:10.1007/s00220-022-04416-8
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.
29 pages, to appear in CMP
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- On Lieb-Robinson bounds for a class of continuum fermions
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- From Light-Cone to Supersonic Propagation of Correlations by Competing Short- and Long-Range Couplings
- Fractonic Quantum Quench in Dipole-constrained Bosons
- Enhanced Lieb-Robinson bounds for commuting long-range interactions
- Macroscopic Particle Transport in Dissipative Long-Range Bosonic Systems
- Frobenius light cone and the shift unitary
- Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
- Lieb-Robinson bounds with exponential-in-volume tails
- Locality bounds for quantum dynamics at low energy
- Learning and simulating bosonic systems via finite-energy locality