2014/08/07 by Marcel Novaes, Novaes, Marcel
Mathematics · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Random Matrices and Applications
paper · pdf · doi:10.48550/arxiv.1408.1669
openalex publication_date 2014/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the statistical properties of the time delay matrix Q in the context of quantum transport through a chaotic cavity, in the absence of time-reversal invariance. First, we approach the problem from the point of view of random matrix theory, and obtain exact results that provide the average value of any polynomial function of Q. We then consider the problem from the point of view of the semiclassical approximation, obtaining the entire perturbation series for some energy-dependent correlation functions. Using these correlation functions, we show agreement between the random matrix and the semiclassical approaches for several statistical properties.