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arXiv · 0902.0025

Lieb-Robinson bounds for classical anharmonic lattice systems

Hillel Raz·Robert Sims
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Abstract

We prove locality estimates, in the form of Lieb-Robinson bounds, for classical oscillator systems defined on a lattice. Our results hold for the harmonic system and a variety of anharmonic perturbations with long range interactions. The anharmonic estimates are applicable to a special class of observables, the Weyl functions, and the bounds which follow are not only independent of the volume but also the initial condition.

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Hillel Raz, Robert Sims. 2009-01-30. Lieb-Robinson bounds for classical anharmonic lattice systems. https://doi.org/10.1007/s10955-009-9839-5

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