Lieb-Robinson bounds for classical anharmonic lattice systems
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Lieb-Robinson bounds for classical anharmonic lattice systems

  • Author(s): Raz, Hillel
  • Sims, Robert
  • et al.

Published Web Location

https://arxiv.org/pdf/0902.0025.pdf
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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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