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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