activity
20232026
most citedKrylov complexity of density matrix operators

58 citations · 246 across the 15 of their papers we have counts for

collaborators

15 papers

hep-th2026

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…

hep-th2026

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…

hep-th2026

Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons

José M. Begines, Suman Das, Hyun-Sik Jeong +1

Originally proposed by 't Hooft, the brick wall model has recently reemerged as a useful framework for probing quantum aspects of horizon physics, particularly in the context of ho…

hep-th2025★ 7 cited

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…

hep-th2025

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…

hep-th2025

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…