AI 中文总结
该研究理论探究由两分量玻色-爱因斯坦凝聚体构成的紧凑型物质波涡旋陀螺仪性能，量化其两种性能退化机制，确定参数权衡区间，对比导波萨格纳克干涉仪展现更优缩放特性，是紧凑型高精度旋转传感的有前途候选方案。
AI 中文摘要
我们从理论上研究了由环形势阱中的两分量玻色-爱因斯坦凝聚体构成的紧凑型物质波涡旋陀螺仪的性能。与依赖萨格纳克效应的传统原子陀螺仪不同，涡旋态的拓扑稳定性使旋转灵敏度与包围面积无关，这使得该器件对几何漂移具有鲁棒性。通过全量子多模模拟，我们量化了两种由相互作用驱动的性能退化机制：单轴扭转导致的相位扩散，以及分量间散射引发的四波混频。我们确定了通过调控相互作用和囚禁参数可在这些效应间形成权衡的参数区间，还发现减小分量间散射长度会反直觉地降低灵敏度。最后，我们将该涡旋陀螺仪与导波萨格纳克干涉仪进行对比，证明其具备更优的缩放特性，从而使其成为紧凑型高精度旋转传感的有前途候选方案。
英文摘要
We theoretically investigate the performance of a compact matterwave vortex gyroscope formed by a two-component Bose-Einstein condensate in a toroidal potential. Unlike conventional atomic gyroscopes that rely on the Sagnac effect, the topological stability of the vortex state yields rotation sensitivity independent of the enclosed area, making the device robust against geometric drifts. Using fully quantum multimode simulations, we quantify two interaction-driven mechanisms that degrade performance: phase diffusion from one-axis-twisting and four-wave mixing from intercomponent scattering. We identify regimes where tuning interaction and trapping parameters produces a trade-off between these effects, and find that reducing the intercomponent scattering length can counterintuitively worsen sensitivity. Finally, we compare the vortex gyroscope to a guided Sagnac interferometer, demonstrating superior scaling, establishing it as a promising candidate for compact precision rotation sensing.
Comments22 pages
