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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
Decay of Determinantal and Pfaffian Correlation Functionals in One-dimensional Lattices
arXiv
Authors: Robert Sims, Simone Warzel
Year
2015
Paper ID
27492
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
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.
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- 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...
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