### 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) | 1-29 |

Number of pages | 29 |

Journal | Communications in Mathematical Physics |

DOIs | |

State | Accepted/In press - Mar 25 2016 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Communications in Mathematical Physics*, 1-29. https://doi.org/10.1007/s00220-016-2612-0

**Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices.** / Sims, Robert J; Warzel, Simone.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices

AU - Sims, Robert J

AU - Warzel, Simone

PY - 2016/3/25

Y1 - 2016/3/25

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84961564363&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84961564363&partnerID=8YFLogxK

U2 - 10.1007/s00220-016-2612-0

DO - 10.1007/s00220-016-2612-0

M3 - Article

SP - 1

EP - 29

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

ER -