Lieb-robinson bounds for harmonic and anharmonic lattice systems

Bruno Nachtergaele, Hillel Raz, Benjamin Schlein, Robert J Sims

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

We prove Lieb-Robinson bounds for systems defined on infinite dimensional Hilbert spaces and described by unbounded Hamiltonians. In particular, we consider harmonic and certain anharmonic lattice systems.

Original languageEnglish (US)
Pages (from-to)1073-1098
Number of pages26
JournalCommunications in Mathematical Physics
Volume286
Issue number3
DOIs
StatePublished - Mar 2009
Externally publishedYes

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Lattice System
Hilbert space
Harmonic
harmonics

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Lieb-robinson bounds for harmonic and anharmonic lattice systems. / Nachtergaele, Bruno; Raz, Hillel; Schlein, Benjamin; Sims, Robert J.

In: Communications in Mathematical Physics, Vol. 286, No. 3, 03.2009, p. 1073-1098.

Research output: Contribution to journalArticle

Nachtergaele, Bruno ; Raz, Hillel ; Schlein, Benjamin ; Sims, Robert J. / Lieb-robinson bounds for harmonic and anharmonic lattice systems. In: Communications in Mathematical Physics. 2009 ; Vol. 286, No. 3. pp. 1073-1098.
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