Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems

Hillel Raz, Robert Sims

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We estimate the Lieb-Robsinon velocity, also known as the group velocity, for a system of harmonic oscillators and a variety of anharmonic perturbations with mainly short-range interactions. Such bounds demonstrate a quasi-locality of the dynamics in the sense that the support of the time evolution of a local observable remains essentially local. Our 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.

Original languageEnglish (US)
Pages (from-to)79-108
Number of pages30
JournalJournal of Statistical Physics
Volume137
Issue number1
DOIs
StatePublished - Oct 1 2009

Keywords

  • Anharmonic
  • Classical dynamics
  • Group velocity
  • Lieb-Robinson
  • Locality bounds

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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