Quantum 2025 – scientific programme
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TUE: Tuesday Contributed Sessions
TUE 10: Foundational / Mathematical Aspects – Rigorous Results
TUE 10.7: Talk
Tuesday, September 9, 2025, 15:45–16:00, ZHG103
Particle propagation bounds for bosonic lattice systems with long range interactions — •Carla Rubiliani1, Marius Lemm1, and Jingxuan Zhang2 — 1University of Tübingen, Germany — 2Tsinghua University, China
We study the quantum time evolution of a system of bosons on a lattice generated by a long-range Hamiltonian with power-law decaying terms. We establish the first thermodynamically stable particle propagation bound in this setting, thus showing the finiteness of the speed of boson transport across the lattice. The main novelty in our proof is a multi-scale adaptation of the adiabatic space-time localisation observable method, which allows removing the dependence of the error term from far-away particles. Following this strategy, we were also able to control higher moments of the number operator. This opens the door to proving the first thermodynamically stable Lieb-Robinson bounds for bosonic systems with long-range hopping. This talk is based on arxiv:2310.14896
Keywords: Bosonic lattice systems; Lieb Robinson bound; Quantum many body dynamics; Bosonic transport; Quantum light cones