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Hyun-Sik Jeong

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Preprint Sep 2026

Onset of random-matrix statistics in the Yukawa-Sachdev-Ye-Kitaev model: Spectral correlations and Krylov complexity

The Yukawa-Sachdev-Ye-Kitaev (YSYK) model, a solvable model of non-Fermi liquids with a proposed cavity-QED realization, couples $N$ complex fermions to $M$ bosons of frequency $\omega_0$ through random Yukawa couplings of strength $g$, and its dynamics depends only on $R\equiv\omega_0/g^{2/3}$. For $R\ll1$ the bosons...

Si-Zheng Cao, Hyun-Sik Jeong, Yi-Li Wang · 0 citations
Preprint Sep 2026

Unfolded Krylov complexity: universal chaotic dynamics without false positives

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, has emerged as a powerful diagnostic, with its characteristic growth, peak, and relaxation often taken as signatures of chaos. However, pr...

Johanna Erdmenger, Kyoung-Bum Huh, Hyun-Sik Jeong et al. · 2 citations · ⚡1
Review Aug 2026

Quantum Chaos and Spread of States in Krylov Subspace: A Topical Review

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 Lanczos algorithm and grounded in the optimal-basis theorem, Krylov complexity thereby provides a robust spectroscopic window into quantum dynami...

Hyun-Sik Jeong, Juan F. Pedraza · 2 citations

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