Tan Qing-Shou, Xie Qiong-Tao, Kuang Le-Man
College of Physics and Electronic Engineering, Hainan Normal University, Haikou, 571158, China.
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Hunan Normal University, Changsha, 410081, China.
Sci Rep. 2018 Feb 19;8(1):3218. doi: 10.1038/s41598-018-21566-9.
We consider the effects of dipole-dipole interactions on a nonlinear interferometer with spin-1 Bose-Einstein condensates. Compared with the traditional atomic SU(1,1) interferometer, the shot-noise phase sensitivity can be beaten with respect to the input total average number of particles; and the improved sensitivity depends on the effective strength of the dipolar interaction via modifying the trapping geometry. It indicates that the best performance of the interferometer is achieved with highly oblate trap potential. The Bayesian phase estimation strategy is explored to extract the phase information. We show that the Cramér-Rao phase uncertainly bound can saturate, when the ideal dis-entangle scheme is applied. The phase average of the phase sensitivity is also discussed.
我们考虑偶极-偶极相互作用对具有自旋-1玻色-爱因斯坦凝聚体的非线性干涉仪的影响。与传统的原子SU(1,1)干涉仪相比，对于输入的总平均粒子数，散粒噪声相位灵敏度可以得到改善；并且通过修改捕获几何结构，提高的灵敏度取决于偶极相互作用的有效强度。这表明干涉仪在高度扁长的捕获势下能实现最佳性能。我们探索了贝叶斯相位估计策略以提取相位信息。我们表明，当应用理想的解纠缠方案时，克拉美-罗相位不确定度界限可以达到饱和。我们还讨论了相位灵敏度的相位平均值。
