7 papers
Density of states of quantum systems from free probability theory: a brief overview
Keun-Young Kim, Kuntal Pal
We provide a brief overview of approaches for calculating the density of states of quantum systems and random matrix Hamiltonians using the tools of free probability theory. For a…
Islands and traversable wormholes
Ricardo Espíndola, Viktor Jahnke, Keun-Young Kim
We study information recovery in black hole evaporation using traversable wormhole protocols in AdS Jackiw-Teitelboim gravity with matter fields coupled to an external bath. By…
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…
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…
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…
Wedge Holographic Complexity in Karch-Randall Braneworld
Yichao Fu, Keun-Young Kim
We investigate holographic complexities in the context of wedge holography, focusing specifically on black string geometry in AdS. The wedge spacetime is bounded by two end-of-…