We study synchronization 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 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 synchronization 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 synchronization can appear both for an overall regular and overall chaotic dynamics.

Many-Body Synchronization in a Classical Hamiltonian System / Khasseh, Reyhaneh; Fazio, Rosario; Ruffo, Stefano; Russomanno, Angelo. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 123:18(2019), pp. 1-6. [10.1103/PhysRevLett.123.184301]

Many-Body Synchronization in a Classical Hamiltonian System

Ruffo, Stefano;Russomanno, Angelo
2019

Abstract

We study synchronization 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 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 synchronization 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 synchronization can appear both for an overall regular and overall chaotic dynamics.
123
18
1
6
184301
https://arxiv.org/abs/1906.11262
Khasseh, Reyhaneh; Fazio, Rosario; Ruffo, Stefano; Russomanno, Angelo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/112271
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