On the microscopic propagation speed of long-range quantum many-body systems

Marius Lemm, Carla Rubiliani, Jingxuan Zhang

Published 2023-10-23Version 1

We consider the time-dependent Schr\"odinger equation on bosonic Fock space that is generated 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 method (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.