Krylov complexity in saddle-dominated scrambling
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 …
(OTOC) is believed to be the hallmark of quantum chaos. However, on several occasions, it …
Out-of-time-order correlators and quantum chaos
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 …
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
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 …
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
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 …
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
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 …
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 …
holography. We discuss the characterization of quantum chaos based on the late time …
Bridging entanglement dynamics and chaos in semiclassical systems
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 …
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
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 …
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 …
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
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 …
physics and in particular they provide a way of quantifying information scrambling in …