58 citations · 214 across the 17 of their papers we have counts for
17 papers
Unfolded Krylov complexity: universal chaotic dynamics without false positives
Johanna Erdmenger, Kyoung-Bum Huh, Hyun-Sik Jeong +1
A central challenge in diagnosing quantum chaos is to distinguish genuine many-body scrambling from kinematic effects of the spectrum. Krylov state complexity, or spread complexity…
Quantum Chaos and Spread of States in Krylov Subspace: A Topical Review
Hyun-Sik Jeong, Juan F. Pedraza
Krylov state complexity, or spread complexity, has emerged as a sharp and versatile diagnostic of quantum chaos, information spreading, and many-body dynamics. Built from the Lancz…
Recursion Coefficients and Krylov Dynamics in Polynomial Random Matrix Models
Juan F. Pedraza, Le-Chen Qu
We study the recursion coefficients of orthogonal polynomials and their associated Krylov dynamics in random matrix models with high-degree and possibly asymmetric polynomial poten…
Quantum chaos and late-time equipartition of symmetry-resolved Krylov complexity
Jayashish Das, Suman Das, Juan F. Pedraza +1
We study symmetry-resolved Krylov complexity in finite-dimensional chaotic quantum many-body systems. When both the Hamiltonian and the initial operator commute with a conserved ch…
Explicit Connections Between Krylov and Nielsen Complexity
Ben Craps, Gabriele Pascuzzi, Juan F. Pedraza +2
We establish a direct correspondence between Krylov and Nielsen complexity by choosing the Krylov basis to be part of the elementary gate set of Nielsen geometry and selecting a Ni…
Toward Krylov-based holography in double-scaled SYK
Yichao Fu, Hyun-Sik Jeong, Keun-Young Kim +1
Building on the duality between Krylov complexity and geodesic length in Jackiw-Teitelboim and sine-dilaton gravity, we develop a precise holographic dictionary for quantities in t…