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

Robert J Sims, Simone Warzel

Research output: Contribution to journalArticle

8 Citations (Scopus)

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)1-29
Number of pages29
JournalCommunications in Mathematical Physics
DOIs
StateAccepted/In press - Mar 25 2016

Fingerprint

Pfaffian
functionals
Decay
decay
determinants
Spin Chains
fermions
Fermions
Correlation Function
Determinant
estimates
Estimate

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices. / Sims, Robert J; Warzel, Simone.

In: Communications in Mathematical Physics, 25.03.2016, p. 1-29.

Research output: Contribution to journalArticle

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