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

Understand

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.