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) |
|---|---|
| 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
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Sims, R., & Warzel, S. (2016). Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices. Communications in Mathematical Physics, 347(3), 903-931. https://doi.org/10.1007/s00220-016-2612-0