Krylov complexity in saddle-dominated scrambling

B Bhattacharjee, X Cao, P Nandy, T Pathak - Journal of High Energy …, 2022 - Springer
A bstract In semi-classical systems, the exponential growth of the out-of-time-order correlator
(OTOC) is believed to be the hallmark of quantum chaos. However, on several occasions, it …

Out-of-time-order correlators and quantum chaos

I García-Mata, RA Jalabert, DA Wisniacki - arxiv preprint arxiv:2209.07965, 2022 - arxiv.org
Quantum Chaos has originally emerged as the field which studies how the properties of
classical chaotic systems arise in their quantum counterparts. The growing interest in …

Exponential growth of out-of-time-order correlator without chaos: inverted harmonic oscillator

K Hashimoto, KB Huh, KY Kim, R Watanabe - Journal of High Energy …, 2020 - Springer
A bstract 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 …

Positive quantum Lyapunov exponents in experimental systems with a regular classical limit

S Pilatowsky-Cameo, J Chávez-Carlos… - Physical Review E, 2020 - APS
Quantum chaos refers to signatures of classical chaos found in the quantum domain.
Recently, it has become common to equate the exponential behavior of out-of-time order …

Quantum and classical Lyapunov exponents in atom-field interaction systems

J Chávez-Carlos, B López-del-Carpio… - Physical review …, 2019 - APS
The exponential growth of the out-of-time-ordered correlator (OTOC) has been proposed as
a quantum signature of classical chaos. The growth rate is expected to coincide with the …

Recent developments in the holographic description of quantum chaos

V Jahnke - Advances in High Energy Physics, 2019 - Wiley Online Library
We review recent developments encompassing the description of quantum chaos in
holography. We discuss the characterization of quantum chaos based on the late time …

Bridging entanglement dynamics and chaos in semiclassical systems

A Lerose, S Pappalardi - Physical Review A, 2020 - APS
It is widely recognized that entanglement generation and dynamical chaos are intimately
related in semiclassical models via the process of decoherence. In this paper, we propose a …

Out-of-time-order correlations and Floquet dynamical quantum phase transition

S Zamani, R Jafari, A Langari - Physical Review B, 2022 - APS
Out-of-time-order correlators (OTOCs) progressively play an important role in different fields
of physics, particularly in the nonequilibrium quantum many-body systems. In this paper, we …

Out-of-time-order correlator in coupled harmonic oscillators

T Akutagawa, K Hashimoto, T Sasaki… - Journal of High Energy …, 2020 - Springer
A bstract Exponential growth of thermal out-of-time-order correlator (OTOC) is an indicator of
a possible gravity dual, and a simple toy quantum model showing the growth is being looked …

Probing an excited-state quantum phase transition in a quantum many-body system via an out-of-time-order correlator

Q Wang, F Pérez-Bernal - Physical Review A, 2019 - APS
Out-of-time-order correlators (OTOCs) play an increasingly important role in different fields of
physics and in particular they provide a way of quantifying information scrambling in …