Nonlinear classical dissipative systems present a rich phenomenology in their "route to chaos", including period-doubling, i.e. the system evolves with a period which is twice that of the driving. However, typically the attractor of a periodically driven quantum open system evolves with a period which exactly matches that of the driving. Here we analyze a manybody open quantum system whose classical correspondent presents period-doubling. We show that by analysing the spectrum of the periodic propagator and by studying the dynamical correlations, it is possible to show the occurrence of period-doubling in the quantum (period-1) steady state. We also discuss that such systems are natural candidates for clean Floquet time crystals.
@article{arxiv.1708.09070,
title = {Period-doubling in period-$1$ steady states},
author = {Reuben R. W. Wang and Bo Xing and Gabriel G. Carlo and Dario Poletti},
journal= {arXiv preprint arXiv:1708.09070},
year = {2018}
}