Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices

Robert Sims, Simone Warzel

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

We establish bounds on the decay of time-dependent multipoint correlation functionals of one-dimensional quasi-free fermions in terms of the decay properties of their two-point function. At a technical level, this is done with the help of bounds on certain bordered determinants and pfaffians. These bounds, which we prove, go beyond the well-known Hadamard estimates. Our main application of these results is a proof of strong (exponential) dynamical localization of spin-correlation functions in disordered XY-spin chains.

Original languageEnglish (US)
Pages (from-to)903-931
Number of pages29
JournalCommunications in Mathematical Physics
Volume347
Issue number3
DOIs
StatePublished - Nov 1 2016

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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