5 papers
Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas
Hugo A. Camargo, Yichao Fu, Keun-Young Kim +1
We propose and test logarithmic Krylov (logK) complexity, an operator growth measure akin to Krylov complexity defined through a replica approach, as a viable probe of early-time o…
Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
Sergio E. Aguilar-Gutierrez, Hugo A. Camargo, Viktor Jahnke +2
Motivated by bulk reconstruction of smeared boundary operators, we study the Krylov complexity of local and non-local primary CFT operators from the local bulk-to-bulk propagat…
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…
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…
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…