Many-body synchronisation in a classical Hamiltonian system
Abstract
We study synchronisation between periodically driven, interacting classical spins undergoing a Hamiltonian dynamics. In the thermodynamic limit there is a transition between a regime where all the spins oscillate synchronously for an infinite time with a period twice as the driving period (synchronized regime) and a regime where the oscillations die after a finite transient (chaotic regime). We emphasize the peculiarity of our result, having been synchronisation observed so far only in driven-dissipative systems. We discuss how our findings can be interpreted as a period-doubling time crystal and we show that synchronisation can appear both for an overall regular and an overall chaotic dynamics.
Cite
@article{arxiv.1906.11262,
title = {Many-body synchronisation in a classical Hamiltonian system},
author = {Reyhaneh Khasseh and Rosario Fazio and Stefano Ruffo and Angelo Russomanno},
journal= {arXiv preprint arXiv:1906.11262},
year = {2019}
}
Comments
5 pages, 4 figures + Supplementary (2 pages, 2 figures). Version published in PRL