On the microscopic propagation speed of long-range quantum many-body systems
Mathematical Physics
2023-11-15 v2 math.MP
Quantum Physics
Abstract
We consider the time-dependent Schr\"odinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maximal speed of particle transport in these systems that is thermodynamically stable and holds all the way down to microscopic length scales. For this, we develop a novel multiscale rendition of the ASTLO (adiabatic spacetime localization observables) method. Our result opens the door to deriving the first thermodynamically stable Lieb-Robinson bounds on general local operators for these long-range interacting bosonic systems.
Keywords
Cite
@article{arxiv.2310.14896,
title = {On the microscopic propagation speed of long-range quantum many-body systems},
author = {Marius Lemm and Carla Rubiliani and Jingxuan Zhang},
journal= {arXiv preprint arXiv:2310.14896},
year = {2023}
}
Comments
28 pages, 5 figures; v1->v2: relaxed decay assumption in main result