Out-of-time ordered correlation functions for the localized electrons in the Falicov-Kimball model
arXiv:2508.21388 · doi:10.1103/cpkv-w6m1
Abstract
We provide an exact evaluation of the out-of-time correlation (OTOC) functions for the localized -particle states in the Falicov-Kimball model within dynamical mean-field theory. Different regimes of quantum chaos and quantum scrambling are distinguished by the winding numbers of the block Toeplitz matrices used in the calculation. The similarities of these fermionic OTOCs and their logarithmic derivatives for time evolution with the OTOCs for quantum spin models with disorder are also discussed.
arXiv comment14 pages, 12 figures, to be published in Phys. Rev. B
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