We study conservation laws of a general class of quantum many-body systems subjected to
an external time dependent quasi-periodic driving. When the frequency of the driving is …

In this paper we study the Birkhoff coordinates (Cartesian action angle coordinates) of the
Toda lattice with periodic boundary condition in the limit where the number N of the particles …

Abstract We consider the Fermi–Pasta–Ulam–Tsingou (FPUT) chain composed by N ≫ 1
N≫ 1 particles and periodic boundary conditions, and endow the phase space with the …

We study the intermediate scattering function (ISF) of the strongly-nonlinear Fermi–Pasta–
Ulam Model at thermal equilibrium, using both numerical and analytical methods. From the …

We study numerically the process of dynamical thermalization in the Frenkel-Kontorova (FK)
model with weak nonlinearity. The total energy has initially equidistributed among some of …

We present some analytic results aiming at explaining the lack of thermalization observed by
Fermi Pasta and Ulam in their celebrated numerical experiment. In particular we focus on …

It was recently shown that the experimental infrared spectra of ionic crystals at room
temperature are very well reproduced by classical realistic models, and here new results are …

This paper is a continuation of a recent one in which, apparently for the first time, the
existence of polaritons in ionic crystals was proven in a microscopic electrodynamic theory …

We consider a finite but arbitrarily large Klein–Gordon chain, with periodic boundary
conditions. In the limit of small couplings in the nearest neighbor interaction, and small (total …

The year 1953 is pivotal for computational physics: the first application of the Monte-Carlo
method is published and calculations of the so-called Fermi-Pasta-Ulam-Tsingou …