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Lieb-Robinson Bounds for the Toda Lattice

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.

preprint2012arXivOpen access
Umar IslambekovRobert SimsGerald Teschl
math-phmath.MPnlin.SI
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Umar IslambekovRobert SimsGerald Teschl

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