1999/09/03 by M. Titov, Mikhail Titov, Yan V. Fyodorov +1 · 4 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevb.61.r2444
published as Phys. Rev. B, 61 (2000) R2444 · 4 pages, 2 figures, RevTeX, added reference, corrected misprint
arxiv created 1999/09/03 · openalex publication_date 2000/01/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The frequency dependent time-delay correlation function K(\ensuremathΩ) is studied analytically for a particle reflected from a finite one-dimensional (1D) disordered system. In the long sample limit, K(\ensuremathΩ) can be used to extract the resonance width distribution \ensuremathρ(\ensuremathΓ). Both quantities are found to decay algebraically as \ensuremathΓ^\ensuremath-\ensuremathν, and \ensuremathΩ^\ensuremath-\ensuremathν, \ensuremathν\ensuremath≃1.25 in a large range of arguments. Numerical calculations for the resonance width distribution in the 1D non-Hermitian tight-binding model agree reasonably with the analytical formulas.