6 citations · 11 across the 11 of their papers we have counts for
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…
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…
Geometry of quantum states in random matrix ensembles and the chaos-integrability transition
Ankit Gill, Keun-Young Kim, Kunal Pal +1
We consider the geometry of quantum states associated with random matrix Hamiltonians belonging to ensembles that exhibit an integrable-to-chaotic transition in terms of the neares…
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…
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…
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-…
Statistics and Complexity of Wavefunction Spreading in Quantum Dynamical Systems
Yichao Fu, Keun-Young Kim, Kunal Pal +1
We consider the statistics of the results of a measurement of the spreading operator in the Krylov basis generated by the Hamiltonian of a quantum system starting from a specified…