2016/10/19 by Naoto Tsuji, Philipp Werner, Masahito Ueda · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Correlation function (quantum field theory) #Fermion #Hubbard model #Lattice (music) #Non-equilibrium thermodynamics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Statistical physics #Thermodynamic limit #cond-mat.quant-gas #cond-mat.stat-mech #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physreva.95.011601
published as Phys. Rev. A 95, 011601(R) (2017)
arxiv created 2016/10/19 · openalex publication_date 2017/01/03 · arxiv updated 2017/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.