Nonlinear dynamics in the balanced two-photon Dicke model with qubit dissipation

• URL: http://arxiv.org/abs/2310.20206v1
• Date: Tue, 31 Oct 2023 06:07:13 GMT
• Title: Nonlinear dynamics in the balanced two-photon Dicke model with qubit dissipation
• Authors: Jiahui Li and Stefano Chesi
• Abstract summary: We study the complex nonlinear dynamics of the two-photon Dicke model in the semiclassical limit. In particular, chaos may manifest itself through period-doubling bifurcation, intermittent chaos, or quasi-periodic oscillation.
• Score: 1.3252284857282148
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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