11 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…
A phase space approach to the wavefunction spreading and operator growth in the Krylov basis
Kunal Pal, Kuntal Pal, Keun-Young Kim
In the Wigner-Weyl phase space formulation of quantum mechanics, we analyse the problem of the spreading of an initial state or an initial operator under time evolution when descri…
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…
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…
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…