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 …

A bstract The out-of-time-order correlator (OTOC) is considered as a measure of quantum
chaos. We formulate how to calculate the OTOC for quantum mechanics with a general …

We study scrambling, an avatar of chaos, in a weakly interacting metal in the presence of
random potential disorder. It is well known that charge and heat spread via diffusion in such …

Two topics, evolving rapidly in separate fields, were combined recently: the out-of-time-
ordered correlator (OTOC) signals quantum-information scrambling in many-body systems …

The growth of commutators of initially commuting local operators diagnoses the onset of
chaos in quantum many-body systems. We compute such commutators of local field …

The dynamics of quantum systems unfolds within a subspace of the state space or operator
space, known as the Krylov space. This review presents the use of Krylov subspace …

Most experimental protocols for measuring scrambling require time evolution with a
Hamiltonian and with the Hamiltonian's negative counterpart (backward time evolution) …

In recent years, there has been intense attention on the constraints posed by quantum
mechanics on the dynamics of the correlation at low temperatures, triggered by the …

We discuss the generalized quantum Lyapunov exponents L q, defined from the growth rate
of the powers of the square commutator. They may be related to an appropriately defined …

The out-of-time-ordered correlators (OTOCs) have been proposed and widely used recently
as a tool to define and describe many-body quantum chaos. Here, we develop the Keldysh …