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

作者:Sims Robert*; Warzel Simone
来源:Communications in Mathematical Physics, 2016, 347(3): 903-931.
DOI:10.1007/s00220-016-2612-0

摘要

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.

  • 出版日期2016-11