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 …

A bstract Thermal states of quantum systems with many degrees of freedom are subject to a
bound on the rate of onset of chaos, including a bound on the Lyapunov exponent, λ L≤ …

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 bstract In the weak coupling limit of SUN Yang-Mills theory and the O (N) vector model,
explicit state counting allows us to demonstrate the existence of a partially deconfined …

A bstract We introduce a simple quantum generalization of the spectrum of classical
Lyapunov exponents. We apply it to the SYK and XXZ models, and study the Lyapunov …

A bstract We argue that the confined and deconfined phases in gauge theories are
connected by a partially deconfined phase (ie SU (M) in SU (N), where M< N, is deconfined) …

In this paper, we investigate influences of the charge and angular momentum of a particle
around a charged Einstein–Euler–Heisenberg AdS black hole on a Lyapunov exponent …

A bstract In gauge/gravity duality, matrix degrees of freedom on the gauge theory side play
important roles for the emergent geometry. In this paper, we discuss how the entanglement …

A bstract Based on 4d\(\mathcal {N}\)= 4 SYM on\({\mathbb {R}}^ 1\times {\mathrm {S}}^ 3\), a
gauge theory description of a small black hole in AdS 5× S 5 is proposed. The change of the …

We establish the correspondence between the classical and quantum butterfly effects in
nonlinear vector mechanics with the broken O (N) symmetry. On one hand, we analytically …