Time delay statistics for finite number of channels in all symmetry classes. (1st July 2022)

• Record Type: Journal Article
• Authors: Novaes, Marcel
• Is Part Of: Europhysics letters. Volume 139:Number 2(2022)
• Publication Date: 2022-07-01
• Subjects: Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/ac806f
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: Within a random matrix theory approach, we obtain spectral statistics of the Wigner time delay matrix Q, for arbitrary channels number M and for all symmetry classes, in fact for the general Dyson parameter β . We also put forth two conjectures: one is related to the large- M expansion of joint cumulants of traces of powers of Q, which generalizes and implies a previous conjecture of Cunden, Mezzadri, Vivo and Simm; the other concerns the tail of the distribution of traces of powers of Q .