103 citations · 309 across the 11 of their papers we have counts for
11 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 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…
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…
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…
Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos
Hugo A. Camargo, Kyoung-Bum Huh, Viktor Jahnke +3
We explore spread and spectral complexity in quantum systems that exhibit a transition from integrability to chaos, namely the mixed-field Ising model and the next-to-nearest-neigh…
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…
Holography and magnetohydrodynamics with dynamical gauge fields
Yongjun Ahn, Matteo Baggioli, Kyoung-Bum Huh +3
Within the framework of holography, the Einstein-Maxwell action with Dirichlet boundary conditions corresponds to a dual conformal field theory in presence of an external gauge fie…
Upper bound of the charge diffusion constant in holography
Kyoung-Bum Huh, Hyun-Sik Jeong, Keun-Young Kim +1
We investigate the upper bound of charge diffusion constant in holography. For this purpose, we apply the conjectured upper bound proposal related to the equilibration scales ($ω_{…
Diagnosing First and Second Order Phase Transitions with Probes of Quantum Chaos
Kyoung-Bum Huh, Kazuki Ikeda, Viktor Jahnke +1
We explore quantum phase transitions using two probes of quantum chaos: out-of-time-order correlators (OTOCs) and the -parameter obtained from the level spacing statistics. In p…
Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator
Koji Hashimoto, Kyoung-Bum Huh, Keun-Young Kim +1
We provide a detailed examination of a thermal out-of-time-order correlator (OTOC) growing exponentially in time in systems without chaos. The system is a one-dimensional quantum m…