5 papers
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…
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…