191 citations · 1.7k across the 93 of their papers we have counts for
6 papers · 1 filter
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…
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 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…
Average mutual information for random fermionic Gaussian quantum states
Lucas Hackl, Mario Kieburg, Joel Maldonado
Studying the typical entanglement entropy of a bipartite system when averaging over different ensembles of pure quantum states has been instrumental in different areas of physics,…
Volume-law entanglement entropy of typical pure quantum states
Eugenio Bianchi, Lucas Hackl, Mario Kieburg +2
The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians has been recently conjectured to be a diagnostic of quantum chaos and integrability.…
The Page Curve for Fermionic Gaussian States
Eugenio Bianchi, Lucas Hackl, Mario Kieburg
In a seminal paper, Page found the exact formula for the average entanglement entropy for a pure random state. We consider the analogous problem for the ensemble of pure fermionic…