199 citations · 2.9k across the 99 of their papers we have counts for
7 papers · 1 filter
Determinantal structure and bulk universality of conditional overlaps in the complex Ginibre ensemble
Gernot Akemann, Roger Tribe, Athanasios Tsareas +1
In these proceedings we summarise how the determinantal structure for the conditional overlaps among left and right eigenvectors emerges in the complex Ginibre ensemble at finite m…
Universal eigenvector correlations in quaternionic Ginibre ensembles
Gernot Akemann, Yanik-Pascal Förster, Mario Kieburg
Non-Hermitian random matrices enjoy non-trivial correlations in the statistics of their eigenvectors. We study the overlap among left and right eigenvectors in Ginibre ensembles wi…
Universal Signature from Integrability to Chaos in Dissipative Open Quantum Systems
Gernot Akemann, Mario Kieburg, Adam Mielke +1
We study the transition between integrable and chaotic behaviour in dissipative open quantum systems, exemplified by a boundary driven quantum spin-chain. The repulsion between the…
Gegenbauer and other planar orthogonal polynomials on an ellipse in the complex plane
G. Akemann, T. Nagao, I. Parra +1
We show that several families of classical orthogonal polynomials on the real line are also orthogonal on the interior of an ellipse in the complex plane, subject to a weighted pla…
Families of two-dimensional Coulomb gases on an ellipse: correlation functions and universality
Taro Nagao, Gernot Akemann, Mario Kieburg +1
We investigate a one-parameter family of Coulomb gases in two dimensions, which are confined to an ellipse, due to a hard wall constraint, and are subject to an additional external…
On the determinantal structure of conditional overlaps for the complex Ginibre ensemble
Gernot Akemann, Roger Tribe, Athanasios Tsareas +1
We continue the study of joint statistics of eigenvectors and eigenvalues initiated in the seminal papers of Chalker and Mehlig. The principal object of our investigation is the ex…