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arXiv · 1509.00450

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

Robert Sims·Simone Warzel
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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.

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Robert Sims, Simone Warzel. 2015-09-01. Decay of Determinantal and Pfaffian Correlation Functionals in One-dimensional Lattices. https://doi.org/10.1007/s00220-016-2612-0

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