A fundamental question for any PDE is whether it gives rise to a bounded propagation speed. For interacting quantum many-body systems, one faces a linear PDE in extremely large dimension and is tasked with deriving a dimension-independent bound on the propagation speed. For bounded interaction operators, it is well-understood how to achieve this and the resulting bounds are known as Lieb-Robinson bounds. However, for unbounded interaction operators (which arise naturally in physics for particles with bosonic symmetry), the proof techniques break down. We survey recent progress on deriving propagation bounds for unbounded interaction operators through the new analytical ASTLO (adiabatic space time localization observables) method.
Propagation bounds on quantum many-body dynamics
09.05.2025 10:00 - 10:45
Organiser:
R. I. Boţ
Location: