title: Correlations in nonequilibrium Luttinger liquid and singular Fredholm determinants.
abstract: We study interaction-induced correlations in Luttinger liquid with multiple Fermi edges. Many-particle correlation functions are expressed in terms of Fredholm determinants det(1+ÂB[over ^]), where A(ε) and B(t) have multiple discontinuities in energy and time spaces. We propose a general asymptotic formula for this class of determinants and provide analytical and numerical support to this conjecture. This allows us to establish nonequilibrium Fermi-edge singularities of many-particle correlation functions. As an example, we calculate a two-particle distribution function characterizing genuinely nonequilibrium quantum correlations between left- and right-moving fermions that have left the interaction region.
authors.affiliation: Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany.
authors.forename: I V
authors.initials: IV
authors.lastname: Protopopov
authors.forename: D B
authors.initials: DB
authors.lastname: Gutman
authors.forename: A D
authors.initials: AD
authors.lastname: Mirlin