Dispersive Estimates for Harmonic Oscillator Systems
  We consider a large class of harmonic systems, each defined as a quasi-free dynamics on the Weyl algebra over $\ell^2(\mathbb{Z}^d)$. In contrast to recently obtained, short-time locality estimates, known as Lieb-Robinson bounds, we prove a number of long-time dispersive estimates for these models. 
Vita Borovyk and Robert Sims
math-ph math.MP