Tau-Function Theory of Chaotic Quantum Transport with β = 1, 2, 4

F Mezzadri, NJ Simm - Communications in Mathematical Physics, 2013 - Springer
We study the cumulants and their generating functions of the probability distributions of the
conductance, shot noise and Wigner delay time in ballistic quantum dots. Our approach is …

Recursion scheme for the largest-Wishart–Laguerre eigenvalue and Landauer conductance in quantum transport

PJ Forrester, S Kumar - Journal of Physics A: Mathematical and …, 2019 - iopscience.iop.org
The largest eigenvalue distribution of the Wishart–Laguerre ensemble, indexed by Dyson
parameter and Laguerre parameter a, is fundamental in multivariate statistics and finds …

Generalized random matrix theory: A mathematical probe for complexity

P Shukla - International Journal of Modern Physics B, 2012 - World Scientific
The ubiquitous presence of complexity in nature makes it necessary to seek new
mathematical tools which can probe physical systems beyond linear or perturbative …

The jacobi mimo channel

R Dar, M Feder, M Shtaif - IEEE transactions on information …, 2012 - ieeexplore.ieee.org
This paper presents a new fading model for multi-input multi-output channels: the Jacobi
fading model. It asserts that H, the transfer matrix which couples the mt inputs into mr …

Statistics of conductance and shot noise power in chaotic mesoscopic cavities with one ideal and one nonideal lead

A Dheer, S Kumar - Physica B: Condensed Matter, 2022 - Elsevier
Chaotic mesoscopic cavities with ideal leads have been studied extensively using the
powerful formalism of random matrix theory. Consequently, the statistical behavior of …

Random matrix model for Nakagami–Hoyt fading

S Kumar, A Pandey - IEEE Transactions on Information Theory, 2010 - ieeexplore.ieee.org
Random matrix model for the Nakagami-q (Hoyt) fading in multiple-input multiple-output
(MIMO) communication channels with arbitrary number of transmitting and receiving …

Electronic transport in chaotic mesoscopic cavities: A Kwant and random matrix theory based exploration

RS Chandramouli, RK Srivastav… - Chaos: An Interdisciplinary …, 2020 - pubs.aip.org
We investigate the spectral fluctuations and electronic transport properties of chaotic
mesoscopic cavities using Kwant, an open source Python programming language based …

Crossover ensembles of random matrices and skew-orthogonal polynomials

S Kumar, A Pandey - Annals of Physics, 2011 - Elsevier
In a recent paper (S. Kumar, A. Pandey, Phys. Rev. E, 79, 2009, p. 026211) we considered
Jacobi family (including Laguerre and Gaussian cases) of random matrix ensembles and …

Optical MIMO communication with unequal power allocation to channels

A Laha, S Kumar - Optik, 2021 - Elsevier
Multiple input multiple output (MIMO) approach in fiber optical communication has emerged
as an effective proposition to address the ever increasing demand for information exchange …

Conductance distributions in chaotic mesoscopic cavities

S Kumar, A Pandey - Journal of Physics A: Mathematical and …, 2010 - iopscience.iop.org
We consider the conductance distributions in chaotic mesoscopic cavities for all three
invariant classes of random matrices for the arbitrary number of channels N 1, N 2 in the …