2023/10/31 by Jiahui Li, Li, Jiahui, Stefano Chesi +1
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Neural Networks and Reservoir Computing #Spectroscopy and Quantum Chemical Studies
paper · pdf · doi:10.48550/arxiv.2310.20206
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.