论文标题
耗散性各向异性双光子Dicke模型的非线性动力学
Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model
论文作者
论文摘要
我们研究了具有耗散性骨化场的各向异性两光子Dicke模型的半经典极限，并描述了其丰富的非线性动力学。除了正常和“超级式”阶段外，局部固定点的存在反映了封闭系统汉密尔顿的光谱崩溃。通过超级和正常固定点的HOPF分叉，在某些参数区域形成了极限周期。我们还确定了由各向异性和混乱动力学区域诱导的极叶翼过渡，该区域从一组倍增分叉的级联出现。在混乱的地区，发生对称吸引子的碰撞和碎片化。在整个相图中，我们发现了几个相共存的示例，从而将相空间分割为不同的吸引盆地。
We study the semiclassical limit of the anisotropic two-photon Dicke model with a dissipative bosonic field and describe its rich nonlinear dynamics. Besides normal and 'superradiant'-like phases, the presence of localized fixed points reflects the spectral collapse of the closed-system Hamiltonian. Through Hopf bifurcations of superradiant and normal fixed points, limit cycles are formed in certain regions of parameters. We also identify a pole-flip transition induced by anisotropy and a region of chaotic dynamics, which appears from a cascade of period-doubling bifurcations. In the chaotic region, collision and fragmentation of symmetric attractors take place. Throughout the phase diagram we find several examples of phase coexistence, leading to the segmentation of phase space into distinct basins of attraction.
