Lieb–Robinson Bounds for the Toda Lattice

被引：0
作者：
Umar Islambekov
Robert Sims
Gerald Teschl
机构：
[1] University of Arizona,Department of Mathematics
[2] University of Vienna,Faculty of Mathematics
[3] International Erwin Schrödinger Institute for Mathematical Physics,undefined
来源：
Journal of Statistical Physics | 2012年 / 148卷
关键词：
Toda lattice; Lieb–Robinson bound;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：440 / 479
页数：39
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