Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems

Hillel Raz, Robert J Sims

Research output: Contribution to journalArticle

10 Citations (Scopus)

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 2009

Fingerprint

Lattice System
estimating
Weyl Function
Group Velocity
estimates
Harmonic Oscillator
Locality
group velocity
Estimate
harmonic oscillators
Initial conditions
Perturbation
perturbation
Interaction
Range of data
Demonstrate
interactions
Class

Keywords

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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems. / Raz, Hillel; Sims, Robert J.

In: Journal of Statistical Physics, Vol. 137, No. 1, 10.2009, p. 79-108.

Research output: Contribution to journalArticle

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