activity
20042026
most citedIntroduction to Random Matrices - Theory and Practice

197 citations · 728 across the 50 of their papers we have counts for

collaborators

50 papers

quant-ph2026

Semiclassical theory of transport

Marcel Novaes

We discuss the semiclassical approximation to transport problems in quantum chaotic systems. The figures of merit are moments of the transmission matrix and of the time delay matri…

quant-ph2023

Entanglement statistics of randomly interacting spins

Paulo Freitas Gomes, Marcel Novaes, Fernando Parisio

We investigate the entanglement in the ground state of systems comprising two and three qubits with random interactions. Since the Hamiltonians also contain deterministic one-body…

quant-ph2023

Time delay statistics for chaotic cavities with absorption

Marcel Novaes

We present a semiclassical approach for time delay statistics in quantum chaotic systems, in the presence of absorption, for broken time-reversal symmetry. We derive three kinds of…

nlin.CD2023

Effect of a tunnel barrier on time delay statistics

Marcel Novaes, Jack Kuipers

We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results…

math-ph2023

Gaussian diagrammatics from Circular Ensembles of random matrices

Marcel Novaes

We uncover a hidden Gaussian ensemble inside each of the three circular ensembles of random matrices, which provide novel diagrammatic rules for the calculation of moments. The mat…

nlin.CD2022★ 3 cited

Semiclassical calculation of time delay statistics in chaotic quantum scattering

Marcel Novaes

We present a semiclassical calculation, based on classical action correlations implemented by means of a matrix integral, of all moments of the Wigner--Smith time delay matrix, …