Semiclassical roots of universality in many-body quantum chaos

K Richter, JD Urbina, S Tomsovic - Journal of Physics A …, 2022 - iopscience.iop.org
Quantum chaos of many-body (MB) systems has been swiftly developing into a vibrant
research area at the interface between various disciplines, ranging from statistical physics to …

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 …

Moments of the transmission eigenvalues, proper delay times and random matrix theory II

F Mezzadri, NJ Simm - Journal of mathematical physics, 2012 - pubs.aip.org
We systematically study the first three terms in the asymptotic expansions of the moments of
the transmission eigenvalues and proper delay times as the number of quantum channels n …

Efficient semiclassical approach for time delays

J Kuipers, DV Savin, M Sieber - New Journal of Physics, 2014 - iopscience.iop.org
The Wigner time delay, defined by the energy derivative of the total scattering phase shift, is
an important spectral measure of an open quantum system characterizing the duration of the …

Universality in chaotic quantum transport: The concordance between random-matrix and semiclassical theories

G Berkolaiko, J Kuipers - Physical Review E—Statistical, Nonlinear, and Soft …, 2012 - APS
Electronic transport through chaotic quantum dots exhibits universal, system-independent
properties, consistent with random-matrix theory. The quantum transport can also be rooted …

Combinatorial theory of the semiclassical evaluation of transport moments. I. Equivalence with the random matrix approach

G Berkolaiko, J Kuipers - Journal of Mathematical Physics, 2013 - pubs.aip.org
To study electronic transport through chaotic quantum dots, there are two main theoretical
approaches. One involves substituting the quantum system with a random scattering matrix …

Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation

M Novaes - Journal of Mathematical Physics, 2015 - pubs.aip.org
We consider S-matrix correlation functions for a chaotic cavity having M open channels, in
the absence of time-reversal invariance. Relying on a semiclassical approximation, we …

A semiclassical matrix model for quantum chaotic transport

M Novaes - Journal of Physics A: Mathematical and Theoretical, 2013 - iopscience.iop.org
We propose a matrix model which embodies the semiclassical approach to the problem of
quantum transport in chaotic systems. Specifically, a matrix integral is presented whose …

Transport moments beyond the leading order

G Berkolaiko, J Kuipers - New Journal of Physics, 2011 - iopscience.iop.org
For chaotic cavities with scattering leads attached, transport properties can be approximated
in terms of the classical trajectories that enter and exit the system. With a semiclassical …

Combinatorial theory of the semiclassical evaluation of transport moments II: Algorithmic approach for moment generating functions

G Berkolaiko, J Kuipers - Journal of Mathematical Physics, 2013 - pubs.aip.org
Electronic transport through chaotic quantum dots exhibits universal behaviour which can be
understood through the semiclassical approximation. Within the approximation, calculation …