58 citations · 266 across the 18 of their papers we have counts for
18 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…
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…
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…
Singular Value Decomposition and Its Blind Spot for Quantum Chaos in Non-Hermitian Sachdev-Ye-Kitaev Models
Matteo Baggioli, Kyoung-Bum Huh, Hyun-Sik Jeong +3
The study of chaos and complexity in non-Hermitian quantum systems poses significant challenges due to the emergence of complex eigenvalues in their spectra. Recently, the singular…
Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity
Hyun-Sik Jeong, Arnab Kundu, Juan F. Pedraza
We investigate quantum chaotic features of the brickwall model, which is obtained by introducing a stretched horizon - a Dirichlet wall placed outside the event horizon - within th…
Krylov Complexity in Mixed Phase Space
Kyoung-Bum Huh, Hyun-Sik Jeong, Leopoldo A. Pando Zayas +1
We investigate the Krylov complexity of thermofield double states in systems with mixed phase space, uncovering a direct correlation with the Brody distribution, which interpolates…
Fuzzy Spheres in Stringy Matrix Models: Quantifying Chaos in a Mixed Phase Space
Paolo Amore, Leopoldo A. Pando Zayas, Juan F. Pedraza +2
We consider a truncation of the BMN matrix model to a configuration of two fuzzy spheres, described by two coupled non-linear oscillators dependent on the mass parameter . The c…
Kasner interiors from analytic hairy black holes
Daniel Areán, Hyun-Sik Jeong, Juan F. Pedraza +1
We conduct an exhaustive study of the interior geometry of a family of asymptotically AdS hairy black holes in an analytically controllable setup. The black holes are exact…
Krylov complexity as an order parameter for quantum chaotic-integrable transitions
Matteo Baggioli, Kyoung-Bum Huh, Hyun-Sik Jeong +2
Krylov complexity has recently emerged as a new paradigm to characterize quantum chaos in many-body systems. However, which features of Krylov complexity are prerogative of quantum…
Krylov complexity of density matrix operators
Pawel Caputa, Hyun-Sik Jeong, Sinong Liu +2
Quantifying complexity in quantum systems has witnessed a surge of interest in recent years, with Krylov-based measures such as Krylov complexity () and Spread complexity ($C_…
Spread complexity in saddle-dominated scrambling
Kyoung-Bum Huh, Hyun-Sik Jeong, Juan F. Pedraza
Recently, the concept of spread complexity, Krylov complexity for states, has been introduced as a measure of the complexity and chaoticity of quantum systems. In this paper, we st…
Gauge dependence of the AdS instability problem
Fotios V. Dimitrakopoulos, Ben Freivogel, Juan F. Pedraza +1
Previous work on the AdS instability problem within the two-time framework (TTF) has found an "oscillating singularity" whose presence depends on the gauge choice. We give a physic…
Holographic Lessons for Quark Dynamics
Mariano Chernicoff, J. Antonio Garcia, Alberto Guijosa +1
We give a brief overview of recent results obtained through the gauge/gravity correspondence, concerning the propagation of a heavy quark in strongly-coupled conformal field theori…