Lieb-Robinson Bounds for the Toda Lattice
Mathematical Physics
2012-08-24 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
We establish locality estimates, known as Lieb-Robinson bounds, for the Toda lattice. In contrast to harmonic models, the Lieb-Robinson velocity for these systems do depend on the initial condition. Our results also apply to the entire Toda as well as the Kac-van Moerbeke hierarchy. Under suitable assumptions, our methods also yield a finite velocity for certain perturbations of these systems.
Keywords
Cite
@article{arxiv.1204.5278,
title = {Lieb-Robinson Bounds for the Toda Lattice},
author = {Umar Islambekov and Robert Sims and Gerald Teschl},
journal= {arXiv preprint arXiv:1204.5278},
year = {2012}
}