58 citations · 266 across the 18 of their papers we have counts for
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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…