Related Experiment Video
Updated: May 10, 2026

1,3,5-Triphenylbenzene and Corannulene as Electron Receptors for Lithium Solvated Electron Solutions
Published on: October 10, 2016
Correlations in nonequilibrium Luttinger liquid and singular Fredholm determinants
I V Protopopov1, D B Gutman, A D Mirlin
1Institut für Nanotechnologie, Karlsruhe Institute of Technology, 76021 Karlsruhe, Germany.
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.
More Related Videos
Related Concept Videos
Debye–Huckel–Onsager Conductance Equation
Ladder Diagrams: Complexation Equilibria
The formation constant, K1, for the formation of Cd(NH3)2+ complex from cadmium and ammonia is 3.55 × 102. Log K1 (i.e. pNH3) is 2.55, and...
Nonideal Two-Component Liquid Solutions
Dimensionless Groups in Fluid Mechanics
Ostwald’s Dilution Law
First Law: Particles in One-dimensional Equilibrium

