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 language | English (US) |
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Pages (from-to) | 903-931 |
Number of pages | 29 |
Journal | Communications in Mathematical Physics |
Volume | 347 |
Issue number | 3 |
DOIs | |
State | Published - Nov 1 2016 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics