Lieb-Robinson bounds and the exponential clustering theorem

Bruno Nachtergaele, Robert Sims

Research output: Contribution to journalArticlepeer-review

193 Scopus citations

Abstract

We give a Lieb-Robinson bound for the group velocity of a large class of discrete quantum systems which can be used to prove that a non-vanishing spectral gap implies exponential clustering in the ground state of such systems.

Original languageEnglish (US)
Pages (from-to)119-130
Number of pages12
JournalCommunications in Mathematical Physics
Volume265
Issue number1
DOIs
StatePublished - Jul 2006
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint

Dive into the research topics of 'Lieb-Robinson bounds and the exponential clustering theorem'. Together they form a unique fingerprint.

Cite this