物质波Sagnac效应中的相移平台
Phase-Shift Plateaus in the Sagnac Effect for Matter Waves
摘要：
我们模拟超冷Sagnac原子干涉仪使用量子力学的物质波包，例如玻色-爱因斯坦凝聚体，在一个旋转的环形陷阱内反向传播。我们发现，波包之间的相对相位差的积累，即物质波Sagnac效应，表现为离散的相位跳跃。这些平台是由三个效应引起的：原子最初应该相对于旋转坐标系静止地被捕获，它们在旋转坐标系中以相同的群速度反向传播，以及在旋转坐标系中进行成像。我们发现，高原坚持存在的非线性原子-原子相互作用，并在原子进行各种旋转，因此将发生在物质波包实验。我们还介绍了最简单的Sagnac原子干涉方案，它依赖于波包色散周围的环陷阱。
英文摘要：
We simulate ultracold Sagnac atom interferometers using quantum-mechanical matter wavepackets, e.g. Bose-Einstein condensates, that counter-propagate within a rotating ring-trap. We find that the accumulation of the relative phase difference between wavepackets, i.e. the matter wave Sagnac effect, is manifested as discrete phase jumps. These plateaus result from three effects; that the atoms should be initially trapped at rest with respect to the rotating frame, that they counter-propagate with the same group velocities in the rotating frame, and that the imaging is performed in the rotating frame. We show that the plateaus persist in the presence of nonlinear atom-atom interactions, and in atoms undergoing various rotations, and thus will occur during matter wavepacket experiments. We also introduce the simplest possible Sagnac atom interferometry scheme which relies on wavepacket dispersion around a ring-trap.
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