3 papers
hep-th2025
Free Probability approach to spectral and operator statistics in Rosenzweig-Porter random matrix ensembles
Viktor Jahnke, Pratik Nandy, Kuntal Pal +2
Utilizing the framework of free probability, we analyze the spectral and operator statistics of the Rosenzweig-Porter random matrix ensembles, which exhibit a rich phase structure…
hep-th2025
Quantum Signatures of Chaos from Free Probability
Hugo A. Camargo, Yichao Fu, Viktor Jahnke +2
A classical dynamical system can be viewed as a probability space equipped with a measure-preserving time evolution map, admitting a purely algebraic formulation in terms of the al…
hep-th2024
Higher-Order Krylov State Complexity in Random Matrix Quenches
Hugo A. Camargo, Yichao Fu, Viktor Jahnke +2
In quantum many-body systems, time-evolved states typically remain confined to a smaller region of the Hilbert space known as the . The time evolution can…