One-dimensional chains are used as a fundamental model of condensed matter, and have
constituted the starting point for key developments in nonlinear physics and complex …

In the past decades, it was recognized that quantum chaos, which is essential for the
emergence of statistical mechanics and thermodynamics, manifests itself in the effective …

We reveal a continuous dynamical heating transition between a prethermal and an infinite-
temperature stage in a clean, chaotic periodically driven classical spin chain. The transition …

A nonlinear chain with sixth-order polynomial on-site potential is used to analyze the
evolution of the total-to-kinetic-energy ratio during development of modulational instability of …

We consider the original β-Fermi-Pasta-Ulam-Tsingou system; numerical simulations and
theoretical arguments suggest that, for a finite number of masses, a statistical equilibrium …

Modulation instability, breather formation, and the Fermi–Pasta–Ulam–Tsingou recurrence
(FPUT) phenomena are studied in this article. Physically, such nonlinear systems arise …

The microcanonical Gross-Pitaevskii (also known as the semiclassical Bose-Hubbard)
lattice model dynamics is characterized by a pair of energy and norm densities. The grand …

Whether Anderson localization is robust against many-body interactions and, closely
related, whether a disordered many-body system can be thermalized are long outstanding …

We study the slow relaxation of isolated quasi-integrable systems, focusing on the classical
problem of Fermi-Pasta-Ulam-Tsingou (FPU) chain. It is well known that the initial energy …

Models of classical Josephson junction chains turn integrable in the limit of large energy
densities or small Josephson energies. Close to these limits the Josephson coupling …