On propagation of information in quantum many-body systems
Mathematical Physics
2025-02-18 v4 math.MP
Abstract
We prove bounds on the minimal time for quantum messaging, propagation/creation of correlations, and control of states for general lattice quantum many-body systems. The proofs are based on a maximal velocity bound, which states that the many-body evolution stays, up to small leaking probability tails, within a light cone of the support of the initial conditions. This estimate is used to prove the light-cone approximation of dynamics and Lieb-Robinson-type bound, which in turn yield the results above. Our conditions cover long-range interactions. The main results of this paper as well as some key steps of the proofs were first presented in [36].
Keywords
Cite
@article{arxiv.2212.14472,
title = {On propagation of information in quantum many-body systems},
author = {Israel Michael Sigal and Jingxuan Zhang},
journal= {arXiv preprint arXiv:2212.14472},
year = {2025}
}
Comments
updated reference [36], acknowledgement, and affliation for the second author