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Exact out-of-time-ordered correlation functions for an interacting lattice fermion model

  • Tsuji, Naoto RIKEN Center for Emergent Matter Science (CEMS), Wako, Japan
  • Werner, Philipp Department of Physics, University of Fribourg, Switzerland
  • Ueda, Masahito RIKEN Center for Emergent Matter Science (CEMS), Wako, Japan - Department of Physics, University of Tokyo, Hongo, Japan
Published in:
  • Physical Review A. - 2017, vol. 95, no. 1, p. 011601
English Exact solutions for local equilibrium and nonequilibrium out-of-time-ordered correlation (OTOC) functions are obtained for a lattice fermion model with on-site interactions, namely, the Falicov-Kimball (FK) model, in the large dimensional and thermodynamic limit. Our approach is based on the nonequilibrium dynamical mean-field theory generalized to an extended Kadanoff-Baym contour. We find that the density-density OTOC is most enhanced at intermediate coupling around the metal-insulator phase transition. In the high-temperature limit, the OTOC remains nontrivially finite and interaction dependent, even though dynamical charge correlations probed by an ordinary response function are completely suppressed. We propose an experiment to measure OTOCs of fermionic lattice systems including the FK and Hubbard models in ultracold atomic systems.
Faculté des sciences et de médecine
Département de Physique
  • English
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