Joint moments of proper delay times
Angel M. Mart\'inez-Arg\"uello, Mois\'es Mart\'inez-Mares, and Julio, C. Garc\'ia
TL;DR
This paper computes negative moments of the Laguerre distribution for different symmetries, providing essential statistical tools for analyzing transport properties in chaotic quantum systems.
Contribution
It introduces calculations of negative moments of the Laguerre distribution for orthogonal, unitary, and symplectic symmetries, advancing the understanding of delay times in chaotic cavities.
Findings
Derived explicit formulas for negative moments across symmetry classes
Facilitated analysis of fluctuations in quantum transport properties
Enhanced statistical modeling of delay times in chaotic systems
Abstract
We calculate negative moments of the -dimensional Laguerre distribution for the orthogonal, unitary, and symplectic symmetries. These moments correspond to those of the proper delay times, which are needed to determine the statistical fluctuations of several transport properties through classically chaotic cavities, like quantum dots and microwave cavities with ideal coupling.
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