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Nuclear Spin Relaxation and Electric Quadrupole Frequency Shift of 129Xe-131Xe in Cubic Stemless MEMS Atomic Vapor Cells

Mingzhi Yu, Yanbin Wang, Yintao Ma, Yao Chen, Ju Guo, Liubo Zhang, Ping Yang, Xiangguang Han, Yang Lv, Libo Zhao

Published Sep 16, 2025• 2 citations

Abstract

High Resolution Image Download MS PowerPoint Slide Research on the electric quadrupole frequency shift mechanism and nuclear spin relaxation of 129 Xe– 131 Xe in alkali metal atomic vapor cells fabricated using microelectromechanical systems (MEMS) technology remains in its early stages. Therefore, an in-depth investigation in this field is crucial for enhancing the performance of miniaturized atomic gyroscopes and other quantum devices. This study provides a comprehensive analysis of the electric quadrupole frequency shift and relaxation of 129 Xe– 131 Xe nuclear spins in a stemless cubic MEMS vapor cell. To elucidate the microscopic characteristics of wall interactions, nuclear spin quadrupole interactions with mixed silicon and glass surfaces in MEMS vapor cells were examined. The influence of the angle between the vapor cell’s geometric axis and the applied magnetic field on the electric quadrupole frequency shift was investigated, leading to the determination of the vapor cell’s asymmetry parameter η and the average twist angle ⟨ θ ⟩ of nuclear spin-wall collisions. Furthermore, the temperature dependence of the electric quadrupole frequency shift in 131 Xe atoms was characterized, enabling the extraction of the desorption activation energy ( E A ) of 131 Xe on the MEMS vapor cell surface. By analyzing the free induction decay (FID) signals of 129 Xe and 131 Xe at varying temperatures, the relationship between their relaxation rates and temperature was established. These findings offer valuable insights for optimizing nuclear spin relaxation times in microatomic gyroscopes.

DOI: 10.1021/acsomega.5c04797

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High Resolution Image Download MS PowerPoint Slide Research on the electric quadrupole frequency shift mechanism and nuclear spin relaxation of 129 Xe– 131 Xe in alkali metal atomic vapor cells fabricated using microelectromechanical systems (MEMS) technology remains in its early stages. Therefore, an in-depth investigation in this field is crucial for enhancing the performance of miniaturized atomic gyroscopes and other quantum devices. This study provides a comprehensive analysis of the electric quadrupole frequency shift and relaxation of 129 Xe– 131 Xe nuclear spins in a stemless cubic MEMS vapor cell. To elucidate the microscopic characteristics of wall interactions, nuclear spin quadrupole interactions with mixed silicon and glass surfaces in MEMS vapor cells were examined. The influence of the angle between the vapor cell’s geometric axis and the applied magnetic field on the electric quadrupole frequency shift was investigated, leading to the determination of the vapor cell’s asymmetry parameter η and the average twist angle ⟨ θ ⟩ of nuclear spin-wall collisions. Furthermore, the temperature dependence of the electric quadrupole frequency shift in 131 Xe atoms was characterized, enabling the extraction of the desorption activation energy ( E A ) of 131 Xe on the MEMS vapor cell surface. By analyzing the free induction decay (FID) signals of 129 Xe and 131 Xe at varying temperatures, the relationship between their relaxation rates and temperature was established. These findings offer valuable insights for optimizing nuclear spin relaxation times in microatomic gyroscopes.

Abstract The combination of micro-machined technology with atomic spin gyroscope (ASG) devices can be used to fabricate a chip-scale atomic spin gyroscope (CASG). The core of the gyroscope is a micromachined vapour cell, which contains alkali metal and isotope-enriched noble gases, such as 129 Xe and 131 Xe . The quadrupolar frequency shift of 131 Xe is a key parameter that can affect the drift of the ASG and is related to the material of the cell in which they are contained. In micromachining technology, the utilised material is silicon. In this study, we investigated the electric quadrupolar frequency shift of 131 Xe atoms with the silicon wall of a micro-machined vapour cell. A cylindrical micromachined vapour cell was utilised in the experiment, and a large part of the inner cell surface comprised silicon material. We studied the temperature dependence of the 129 Xe spin relaxation and 131 Xe frequency shifts to evaluate the interaction of the nuclear spin with the container wall and alkali metal atoms. The results show that the average twisted angle of the 131 Xe nuclear spins as they collided with the silicon wall was measured as 29 × 10 − 6 rad. The desorption energy required for the 131 Xe nuclear spin to escape from the silicon surface was E s i = 0.009 eV . This study could help improve the bias stability of the CASG, which is a key parameter for the gyroscope, and may help to develop a method to study the surface properties of various materials.

We report on the fabrication and characterization of MEMS atomic vapor cells suitable for applications in miniaturized quantum sensors such as atomic gyroscopes. Our MEMS cells are filled with natural abundance Rb alkali atoms and enriched noble Xe atoms and are operated in the regime of spin exchange optical pumping. The transverse relaxation time T2* of the nuclear spin in 129Xe atoms directly defines the angular random walk parameter of an atomic gyroscope. Using a field switch technique, we measure the dephasing time T2* of the 129Xe isotope as a function of temperature. Our results showing a decrease of T2* from about 1 to 0.4 seconds with an increasing temperature in the range from 80 to 150 °C are in good agreement with a simple theoretical model taking into account the most important decoherence mechanisms. We show that the observed decoherence behavior can be mostly explained trough collisions of the Xe atoms with the walls. Further characterization steps in order to gain more insight in the decoherence physics involved in our MEMS cells are discussed.

An experimental setup to fabricate atomic vapor cells for atom spin gyroscope application, containing 87Rb, 129Xe, 131Xe, N2, and H2, is described. The setup comprises a high-vacuum chamber, an 87Rb ampule, a glass cell, gas lines, and a turbopump. First, the glass cell is baked for a week at 450 °C to reduce outgassing from the inner walls of the glass cell. Next, rubidium atoms are evaporated into the cubic glass cell. Then, the cubic glass cell is cooled to 2 °C to increase the amount of 87Rb in the cubic glass cell while the vacuum chamber is heated to 100 °C. 6 Torr of 129Xe, 48 Torr of 131Xe, 140 Torr of N2, and 24 Torr of H2 are injected into the cubic glass cell. The sealing method employs pinch-off glass welding. The transverse spin relaxation times of 129Xe and 131Xe at a magnetic field of 6.2 µT applied to the quantization axis are measured to be 8.1 and 16.5 s, respectively, at a cell temperature of 96 °C using nuclear magnetic resonance spectroscopy. The pressure ratio between 129Xe and 131Xe is determined by comparing the output signals from our atom spin gyroscope. The signal-to-noise ratios are 2500 for 129Xe and 3333 for 131Xe, respectively, and the expected angular random walk of the atom spin gyroscope is 0.062°/h1/2 with a 1-Hz repetition rate.

Nuclear spin relaxation of

^{131}\mathrm{Xe}

produced by collisions of the xenon atoms with the walls of the experimental cell has been studied. The xenon nuclear ensemble is polarized through spin-exchange collisions with an optically oriented rubidium vapor. Depolarization of the

^{131}\mathrm{Xe}

ensemble in the wall collisions is assumed to be due to the quadrupole coupling between the

^{131}\mathrm{Xe}

nucleus and the electric field gradients which appear at the nucleus during collisions of the atoms with the cell walls. Model equations describing the nuclear relaxation are derived and estimates of the electric field gradients are given.

We analyze the transverse nuclear magnetizations of 129Xe and 131Xe in a vapor cell containing natural Xe, 87Rb, and buffer gases. The Xe atoms are polarized through spin-exchange optical pumping (SEOP) with Rb atoms under low-magnetic-field conditions. From the free-induction-decay (FID) signal, we measure the nuclear magnetization of the Xe atoms in the Xe-Rb vapor cell. Furthermore, we measure the dependence of the gyromagnetic ratio on the magnetization of 129Xe and 131Xe by examining the amplitude of the FID signal of each isotope, and we evaluate the relationship between the magnetic field gradient and transverse relaxation rate for both of the 129Xe and 131Xe isotopes.