Chaos and $\mathcal{PT}$-symmetry breaking transitions in a driven, nonlinear dimer with balanced gain and loss
Abstract
Dynamics of a simple system, such as a two-state (dimer) model, are dramatically changed in the presence of interactions and external driving, and the resultant unitary dynamics show both regular and chaotic regions. We investigate the non-unitary dynamics of such a dimer in the presence of balanced gain and loss for the two states, i.e. a symmetric dimer. We find that at low and high driving frequencies, the -symmetric dimer motion continues to be regular, and the system is in the -symmetric state. On that other hand, for intermediate driving frequency, the system shows chaotic motion, and is usually in the -symmetry broken state. Our results elucidate the interplay between the -symmetry breaking transitions and regular-chaotic transitions in an experimentally accessible toy model.
Keywords
Cite
@article{arxiv.1807.00761,
title = {Chaos and $\mathcal{PT}$-symmetry breaking transitions in a driven, nonlinear dimer with balanced gain and loss},
author = {Shiguang Rong and Qiongtao Xie and Yogesh N. Joglekar},
journal= {arXiv preprint arXiv:1807.00761},
year = {2018}
}
Comments
8 pages, 6 figures