Lieb-Robinson Bounds for the Toda Lattice

Umar Islambekov, Robert J Sims, Gerald Teschl

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)440-479
Number of pages40
JournalJournal of Statistical Physics
Volume148
Issue number3
DOIs
StatePublished - Aug 2012

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Toda Lattice
trucks
Locality
hierarchies
Initial conditions
Harmonic
Entire
Perturbation
harmonics
perturbation
estimates
Estimate
Model
Hierarchy

Keywords

  • Lieb-Robinson bound
  • Toda lattice

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Lieb-Robinson Bounds for the Toda Lattice. / Islambekov, Umar; Sims, Robert J; Teschl, Gerald.

In: Journal of Statistical Physics, Vol. 148, No. 3, 08.2012, p. 440-479.

Research output: Contribution to journalArticle

Islambekov, Umar ; Sims, Robert J ; Teschl, Gerald. / Lieb-Robinson Bounds for the Toda Lattice. In: Journal of Statistical Physics. 2012 ; Vol. 148, No. 3. pp. 440-479.
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