论文标题
在二元玻色网冷凝物界面上的参数激发的星形图案
Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
论文作者
论文摘要
在不混溶的二元bose-Einstein冷凝物中，通过平均场和浮点分析研究了Faraday-Wave样的参数不稳定性。冷凝物在二维谐波陷阱中形成所谓的\ textit {球壳}结构。为了触发动力学，核心冷凝物的散射长度在时间上定期调节。我们揭示了在动力学中，界面对振荡模式的形成变得不稳定。该界面在亚跑道上振荡，表现出$ m $倍的旋转对称性，可以通过操纵调制的幅度和频率来控制，该对称性可以控制。使用Floquet分析，我们能够预测混合物的生成的界面张力，并得出出现的新兴模式的固有频率的分散关系。由$^{87} $ rb-$^{85} $ rb原子组成的异核系统可用于实现现象的实验，但我们的结果与所采用的原子物种的细节{以及应用驱动器的参数。
A Faraday-wave-like parametric instability is investigated via mean-field and Floquet analysis in immiscible binary Bose-Einstein condensates. The condensates form a so-called \textit{ball-shell} structure in a two-dimensional harmonic trap. To trigger the dynamics, the scattering length of the core condensate is periodically modulated in time. We reveal that in the dynamics the interface becomes unstable towards the formation of oscillating patterns. The interface oscillates sub-harmonically exhibiting an $m$-fold rotational symmetry that can be controlled by maneuvering the amplitude and the frequency of the modulation. Using Floquet analysis we are able to predict the generated interfacial tension of the mixture and derive a dispersion relation for the natural frequencies of the emergent patterns. A heteronuclear system composed of $^{87}$Rb-$^{85}$Rb atoms can be used for the experimental realization of the phenomenon, yet our results are independent of the specifics of the employed atomic species {and of the parameter at which the driving is applied.
