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Open Quantum Systems Decoherence Quantum Simulation

Lieb-Robinson bounds for Bose-Hubbard Hamiltonians: A review with a simplified proof

arXiv

Authors: Marius Lemm, Carla Rubiliani

Year

2026

Paper ID

39100

Status

Preprint

Abstract Read

~2 min

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Abstract

We review recent progress on state-dependent Lieb-Robinson bounds for Bose-Hubbard Hamiltonians. In particular, Kuwahara, Vu, and Saito established that, for general bounded-density initial states, the Lieb-Robinson velocity is bounded by t^d-1 for large times, where d denotes the lattice dimension. We present a shorter proof of the weaker, but still polynomial velocity bound t^d+ε.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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We review recent progress on state-dependent Lieb-Robinson bounds for Bose-Hubbard Hamiltonians.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2603.26209 [2] arXiv https://arxiv.org/abs/2603.26209 [3] Publisher https://arxiv.org/abs/2603.26209

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