10 papers
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…
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…
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…
Quantum Chaos Diagnostics for non-Hermitian Systems from Bi-Lanczos Krylov Dynamics
Matteo Baggioli, Kyoung-Bum Huh, Hyun-Sik Jeong +3
In Hermitian systems, Krylov complexity has emerged as a powerful diagnostic of quantum dynamics, capable of distinguishing chaotic from integrable phases, in agreement with establ…
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…
Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons
Yongjun Ahn, Sašo Grozdanov, Hyun-Sik Jeong +1
We present a systematic analysis of pole-skipping for scalar, Maxwell, and gravitational waves in cosmological spacetimes. Specifically, working in empty de Sitter space and in Sch…