141 citations · 236 across the 20 of their papers we have counts for
37 papers
Quantum chaotic systems: a random-matrix approach
Mario Kieburg
We review the ideas of how random matrix theory has to be properly applied to quantum physics; particularly we focus on how the spectrum has to be properly prepared and the random…
Derivative relations for determinants, Pfaffians and characteristic polynomials in random matrix theory
Gernot Akemann, Georg Angermann, Mario Kieburg +1
Explicit expressions are proven for derivatives of the ratio of a determinant or Pfaffian determinant and a Vandermonde determinant. Such ratios appear for example in general group…
Random matrix prediction of average entanglement entropy in non-Abelian symmetry sectors
Anwesha Chakraborty, Lucas Hackl, Mario Kieburg
We study the average bipartite entanglement entropy of Haar-random pure states in quantum many-body systems with global symmetry, constrained to fixed total spin $…
Average Winding Number for Determinantal Curves associated with 2-Matrix Models in the Class AIII
Mathieu Yahiaoui, Mario Kieburg
To classify one-dimensional disordered quantum systems with chiral symmetry, we analyse the winding number of the determinant of a parametrized non-Hermitian random matrix field ov…
Average entanglement entropy of a small subsystem in a constrained pure Gaussian state ensemble
Erik Aurell, Lucas Hackl, Mario Kieburg
We consider ensembles of pure Gaussian states parametrized by single-mode marginals and (optionally) specific mode-mode correlations. Such ensembles provide a model for the final s…
Universality of Top Rank Statistics for Brownian Reshuffling
Zdzislaw Burda, Mario Kieburg
We study the dynamical aspects of the top rank statistics of particles, performing Brownian motions on a half-line, which are ranked by their distance from the origin. For this pur…