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

We supplement the determinantal and Pfaffian bounds of [4] for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time correlations. Our proof uses the analyticity of correlation functions via the Hadamard three-line theorem. We show that the dynamical localization for the one-particle system yields the dynamical localization for the many-point fermionic correlation functions, with respect to the Hausdorff distance in the determinantal case. In [4], a stronger notion of decay for many-particle configurations was used but only at dimension one and for real times. Considering determinantal and pfaffian correlation functionals for complex times is important in the study of weakly interacting fermions.

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Decay of Complex-Time Determinantal and Pfaffian Correlation Functionals in Lattices

Aza

Bru

Pedra

2018

Commun. Math. Phys.

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

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Decay of Complex-Time Determinantal and Pfaffian Correlation Functionals in Lattices

Decay of Complex-Time Determinantal and Pfaffian Correlation Functionals in Lattices

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