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 …

We consider growth of local operators under Euclidean time evolution in lattice systems with
local interactions. We derive rigorous bounds on the operator norm growth and then …

Thermalisation in closed quantum systems occurs through a process of dephasing due to
parts of the system outside of the window of observation, gradually revealing the underlying …

For the characterization of the dynamics in quantum many-body systems the question of how
information spreads and becomes distributed over the constituent degrees of freedom is of …

An isolated quantum system in a pure state may be perceived as thermal if only a
substantially small fraction of all degrees of freedom is probed. We propose that in a …

Understanding the footprints of chaos in quantum-many-body systems has been under
debate for a long time. In this work, we study the echo dynamics of the Sherrington …

We numerically investigate the stability of exceptional periodic classical trajectories in rather
generic chaotic many-body systems and explore a possible connection between these …

We study many-body chaos in a (2+ 1) D relativistic scalar field theory at high temperatures
in the classical statistical approximation, which captures the quantum critical regime and the …

Charge-density-wave order in a solid can be temporarily “melted” by a strong laser pulse.
Here, we use the discrete Gross-Pitaevskii equation on a cubic lattice to simulate the …

In non-relativistic quantum theories the Lieb-Robinson bound defines an effective light cone
with exponentially small tails outside of it. In this work we use it to derive a bound for the time …