We demonstrate a regime in which matter-wave condensates of exciton-polaritons trapped in an elliptically shaped two-dimensional potential appear as a coherent mixture of ground and first-excited states of the quantum harmonic oscillator. This system resembles an optically controllable two-level system and produces near-terahertz harmonic oscillations of the condensate's center of mass along the major axis of the elliptical trapping potential. The population ratio between the two trap levels is tunable through the excitation laser power and is shown to follow Lotka-Volterra dynamics. Furthermore, we demonstrate coherence formation between two spatially displaced trapped condensate oscillators—the polaritonic analog of Huygen's clock synchronization for coupled condensate oscillators.

中文翻译：

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极化极化子凝结的相干和可调振荡器中的Lotka-Volterra种群动力学

我们展示了一种机制，其中捕获在椭圆形二维电势中的激子-极化子的物质波凝聚出现为量子谐波振荡器的基态和第一激发态的相干混合物。该系统类似于光学可控制的两级系统，并沿椭圆形俘获电势的长轴产生冷凝物质心的接近太赫兹的谐波振荡。两个陷阱能级之间的人口比例可通过激发激光功率进行调节，并显示遵循Lotka-Volterra动力学。此外，我们展示了两个空间位移陷井凝结振荡器之间的相干形成-耦合凝结振荡器的惠更斯时钟同步的极化模拟。