Wednesday, April 25, 2012

1204.5278 (Umar Islambekov et al.)

Lieb-Robinson Bounds for the Toda Lattice    [PDF]

Umar Islambekov, Robert Sims, Gerald Teschl
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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