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SERF原子自旋惯性测量耦合系综响应模型研究

Research of Coupled Ensemble Response Model in SERF Comagnetometers

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【作者】 徐子童魏凯翟跃阳全伟房建成

【Author】 Xu Zitong;Wei Kai;Zhai Yueyang;Quan Wei;Fang Jiancheng;School of Instrumentation and Optoelectronic Engineering,Beihang University;Institute of Extremely-Weak-Magnetic-Field Massive Scientific Instrumentation Facility;Institute of Large-Scale Scientific Facility,Beihang University;

【通讯作者】 魏凯;

【机构】 北京航空航天大学仪器科学与光电工程学院杭州极弱磁场重大科技基础设施研究院北京航空航天大学大科学装置研究院

【摘要】 无自旋交换弛豫(SERF)原子自旋惯性测量装置在前沿基础物理探索以及惯性导航领域具有广泛应用前景。建立了SERF原子自旋惯性测量装置的耦合系综动力学响应模型,通过仿真和实验量化分析了耦合系综动力学响应的影响因素,厘清了偏置磁场、耦合自旋系综极化率和弛豫率等因素对准静态响应信号的影响。发现在强耦合点与自补偿点处,动态响应速度存在75倍的显著差异。进一步分析了偏置磁场、极化率和弛豫率对不同原子组合的惯性测量装置响应系数的影响。发现在自补偿点处存在最优极化率,使惯性测量装置的角速度响应系数最高,此最优点与原子种类和电子自旋弛豫率相关,可以通过降低电子自旋弛豫率将角速度响应系数提升近1倍。明确了通过优化电子自旋极化率和抑制电子自旋弛豫率可以进一步提升SERF原子自旋惯性测量灵敏度和动态性能,有望拓展其在惯性导航和基础物理探索中的应用。

【Abstract】 Objective Spin-exchange relaxation-free(SERF) comagnetometers have been widely applied in fundamental physics exploration,including the fifth force measurement,dark matter detection(axion and axion-like particles) and CPT(charge conjugation,parity inversion,time reversal) and Lorentz symmetry violations.Besides,it has an internationally recognized development potential in inertial navigation.SERF comagnetometers contains alkali metal electronic spin ensemble and noble gas nuclear spin ensemble.The study of the responses to external excitations inevitably involves the coupling of two ensembles.A general response model for K-3 He comagnetometer has been introduced to characterize the dynamics of the hybrid pumping K-Rb-21 Ne comagnetometer.However,there are significant differences between the two kinds of spin ensembles combinations.The unexplored comparison of dynamics between the two spin ensembles combinations would present fruitful discoveries.In this paper,we establish a complete model for K-Rb-21 Ne comagnetometer and compare the responses of K-3 He and K-Rb-21 Ne comagnetometers.The influencing factors of the response rate and the amplitude are quantified.This research sheds light on the study of the difference between different spin ensembles combinations for the improvement of the dynamic performance and sensitivity of comagnetometers,and is expected to promote the development of inertial navigation and fundamental physics exploration.Methods In this paper,transient and steady-state response models are established from the Bloch equations that describe the coupling of electronic and nuclear spins.In the K-Rb-21 Ne comagnetometer,the electronic effective magnetic field cannot be ignored,so the spin exchange relaxation rate is considered in the model.Based on the established model,the influence of various influencing factors on the dynamic response is analyzed.For the transient response,the main influencing factor is the bias magnetic field.The dynamic responses to the magnetic field,angular velocity and anomalous field at the compensation point and the strong coupling point are compared through experiments and simulations.For the steady-state response,the relationship between response coefficients and bias magnetic field for different input signals is simulated.In order to further study the influencing factors of the angular velocity response strength,we analyze the variation of the angular velocity response coefficient with electronic spin polarization and relaxation rate at the selfcompensation point.Results and Discussions The dynamic response model of coupled ensembles in the SERF comagnetometer is established,and the influencing factors of the dynamic response are quantitatively analyzed with simulation and experiments.The effects of bias magnetic field,coupled spin ensemble polarization,electronic spin relaxation rate and other factors on the steady response signal are clarified.We find that there is a significant difference of 75 times in the dynamic response rate between the strong coupling point and the self-compensation point(Fig.3).Besides,the response strengths to different input signals are simulated under various bias magnetic fields.At the self-compensation point,the responses of comagnetometer to the anomalous field and inertial rotation are maximized,while the sensitivity to the magnetic field is minimized(Fig.4).It is further analyzed that there is an optimal polarization at the self-compensation point,which makes the angular velocity response coefficient the highest(Fig.5).This optimal point is related to the atomic species and the electronic spin relaxation rate,at which the angular velocity response coefficient can be doubled by reducing the electronic spin relaxation rate.This paper clarifies that the sensitivity and dynamic performance of SERF comagnetometers can be further improved by optimizing the electronic spin polarization and the relaxation rate,which is expected to expand its application in inertial navigation and fundamental physics exploration.Conclusions In the present study,a complete coupled ensemble dynamic response model of the SERF comagnetometer is established.The dynamics of K-Rb-3 He system is studied via simulation,and the dynamics of K-Rb-21 Ne system is experimentally studied to verify the correctness of the established model.The dynamic response rate is found to be significantly affected by the bias magnetic field.Based on the experimental conditions such as the experimental temperature and optical power in this paper,the response rate at the strong coupling point is 75 times faster than that at the self-compensation point.The influencing factors of the steady-state response strength are quantitatively analyzed by simulation.The steady-state response is mainly affected by the electronic spin polarization and the electronic spin relaxation rate.There is an optimal polarization which maximizes the angular velocity response coefficient.At the same time,the decrease of the electronic spin relaxation rate can increase the angular velocity response coefficient of the KRb-3 He system from 0.26 to 0.51,and that of the K-Rb-21 Ne system from 1.48 to 2.31.Therefore,by reducing the electronic spin relaxation rate and optimizing the electronic spin polarization,the response coefficient can be improved,thereby improving the sensitivity of inertial measurement,providing a good foundation for the development of fundamental physics exploration and inertial navigation.

【基金】 国家自然科学基金杰出青年基金(61925301);中国博士后科学基金(2021M700345)
  • 【文献出处】 中国激光 ,Chinese Journal of Lasers , 编辑部邮箱 ,2022年19期
  • 【分类号】O562
  • 【下载频次】7
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