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math-ph2023
On the microscopic propagation speed of long-range quantum many-body systems
Marius Lemm, Carla Rubiliani, Jingxuan Zhang
We consider the time-dependent Schrödinger equation that is generated on the bosonic Fock space by a long-range quantum many-body Hamiltonian. We derive the first bound on the maxi…
math-ph2023
Information propagation in long-range quantum many-body systems
Marius Lemm, Carla Rubiliani, Israel Michael Sigal +1
We study general lattice bosons with long-range hopping and long-range interactions decaying as with . We find a linear light cone for the informatio…