Abstract The Sachdev–Ye–Kitaev model and two-dimensional dilaton gravity have recently
been attracting increasing attention of the high-energy and condensed-matter physics …

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 …

Controllable arrays of ions and ultracold atoms can simulate complex many-body
phenomena and may provide insights into unsolved problems in modern science. To this …

The idea of the out-of-time-order correlator (OTOC) has recently emerged in the study of
both condensed matter systems and gravitational systems. It not only plays a key role in …

Scrambling is the process by which information stored in local degrees of freedom spreads
over the many-body degrees of freedom of a quantum system, becoming inaccessible to …

We extend the Keldysh technique to enable the computation of out-of-time order correlators
such as< O (t) O ̃ (0) O (t) O ̃ (0)>. We show that the behavior of these correlators is described …

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 …

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 …

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 …

Out-of-time-ordered correlators (OTOC) have been proposed to characterize quantum chaos
in generic systems. However, they can also show interesting behavior in integrable models …