2012/12/04 by I. V. Protopopov, D. B. Gutman, A. D. Mirlin
Mathematics · Physics and Astronomy · #Classification of discontinuities #Conjecture #Correlation function (quantum field theory) #Fermi liquid theory #Fermion #Fermi–Dirac statistics #Fredholm determinant #Function (biology) #Gravitational singularity #Luttinger liquid #Mathematical analysis #Mathematical physics #Mathematics #Non-equilibrium thermodynamics #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Statistical physics #cond-mat.mes-hall #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.110.216404
published as Phys. Rev. Lett. 110, 216404 (2013) · 4 pages + Supplemental material as appendix
arxiv created 2012/12/04 · openalex publication_date 2013/05/22 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.