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) | 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
Decay of Determinantal and Pfaffian Correlation Functionals in One-Dimensional Lattices. / Sims, Robert J; Warzel, Simone.
In: Communications in Mathematical Physics, 25.03.2016, p. 1-29.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 -