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- Title
Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices.
- Authors
Sims, Robert; Warzel, Simone
- 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.
- Subjects
DETERMINANTAL rings; PFAFFIAN systems; DIMENSIONAL analysis; FUNCTIONAL analysis; LATTICE field theory
- Publication
Communications in Mathematical Physics, 2016, Vol 347, Issue 3, p903
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-016-2612-0