论文标题
集体激发原子干涉仪的参考框架独立模型
Reference frame-independent model of a collective excitation atom interferometer
论文作者
论文摘要
我们从理论上分析了提议的物质波Sagnac干涉仪的工作原理，利用Bose-Einstein冷凝物（BEC）声子模式为干扰介质。先前的工作发现，环形捕获的BEC的轨道角动量声子模式通过旋转频率分开，从而导致可测量的旋转信号。我们开发了一个替代描述，其中反向传播模式的振幅（种群）在冷凝过程中旋转引起了不平衡。此描述给出了1D干涉相移的分析形式，并且很容易概括以包括平均场相互作用。为了验证我们的发现，我们在一个维度上模拟了一个环形捕获的BEC SAGNAC干涉仪，并证明可以使用修改的分析来测量未知旋转速率。我们的仿真数据与我们的分析结果表明了强烈的一致性，我们进一步采用仿真来探索和阐明超流体在此问题波Sagnac干涉仪中的作用。
We theoretically analyze the operating principles of a proposed matter-wave Sagnac interferometer utilizing Bose-Einstein condensate (BEC) phonon modes as an interference medium. Previous work found that the orbital angular momentum phonon modes of a ring-trapped BEC are split in frequency by rotations, leading to a measurable rotation signal. We develop an alternate description in which an imbalance in the counter-propagating modes' amplitudes (populations) is induced by the rotation of the system during condensation. This description gives analytic forms for the interferometric phase shift in 1D and is readily generalized to include mean-field interactions. To validate our findings, we simulate a ring-trapped BEC Sagnac interferometer in one dimension and demonstrate that measurement of an unknown rotation rate can be performed using a modified analysis. Our simulation data show strong agreement with our analytic results, and we further employ simulations to explore and clarify the role of superfluidity in this matter-wave Sagnac interferometer.
