Nonlinear dynamics in the balanced two-photon Dicke model with qubit dissipation
Abstract
We study the complex nonlinear dynamics of the two-photon Dicke model in the semiclassical limit by considering cavity and qubit dissipation. In addition to the normal and super-radiant phases, another phase that contains abundant chaos-related phenomena is found under balanced rotating and counter-rotating couplings. In particular, chaos may manifest itself through period-doubling bifurcation, intermittent chaos, or quasi-periodic oscillation, depending on the value of qubit frequency. Transition mechanisms that exist in these three distinct routes are investigated through the system's long-time evolution and bifurcation diagram. Additionally, we provide a comprehensive phase diagram detailing both the existence of stable fixed points and the aforementioned chaos-related dynamics.
Cite
@article{arxiv.2310.20206,
title = {Nonlinear dynamics in the balanced two-photon Dicke model with qubit dissipation},
author = {Jiahui Li and Stefano Chesi},
journal= {arXiv preprint arXiv:2310.20206},
year = {2023}
}
Comments
9 pages, 6 figures