Abstract—

Reduction of optical quantum sensors in size, including nuclear magnetic resonance (NMR) gyroscopes, implies primarily downsizing of the working gas cell. This paper considers the dependence of isotope shift in the balanced scheme based on NMR in xenon isotopes on the dimensions of the gas cell. With this aim in view, an experimental and theoretical studies of the factors affecting the relaxation rate of xenon isotopes have been carried out. The proposed numerical model allows predicting the magnitude of the isotope shift for cells of various sizes with variations in their basic parameters, namely, temperature and pressure of the gas mixture. Based on the results of the numerical simulation, recommendations are given for optimizing the basic parameters of the gas cell by changing its dimensions.

中文翻译：

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氙中NMR同位素位移的尺寸依赖性模型

摘要—

减小包括核磁共振（NMR）陀螺仪在内的光学量子传感器的尺寸，首先意味着要缩小工作气室的尺寸。本文在氙同位素中基于核磁共振的平衡方案中考虑了同位素位移对气室尺寸的依赖性。鉴于此目的，已经进行了影响氙同位素弛豫速率的因素的实验和理论研究。所提出的数值模型允许通过其基本参数（即气体混合物的温度和压力）的变化来预测各种大小的单元的同位素位移的大小。根据数值模拟的结果，提出了通过更改尺寸来优化气室基本参数的建议。