Lieb-Robinson Bounds for the Toda Lattice

Details Lieb-Robinson Bounds for the Toda Lattice Lieb-Robinson Bounds for the Toda Lattice

2012-04-24

arxiv.org/abs/1204.5278v1

Physics

Mathematical Physics

Scientific paper

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.

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