Measuring the enhancement factor of the hyperpolarized Xe in nuclear magnetic resonance gyroscopes

Xu, Zhengyi; Zhou, Yinmin; Peng, Xinxin; Li, Lianhua; Qiu, Xuyang; Zhou, Min; Xu, Xiaojun

doi:10.1103/physreva.103.023114

Cited by 6 publications

(4 citation statements)

References 22 publications

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“…The Bloch equations, named after Felix Bloch in 1946 [1], provide exceptional insights into many processes, not only in optics [2][3][4][5][6][7][8][9][10][11] but also in nuclear magnetic resonance research [12][13][14][15]. In the field of optics, they are referred to as the optical Maxwell Bloch equations and they describe the quantum dynamics of a multi-level atom interacting with electromagnetic fields [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Exact Solutions of the Bloch Equations to the Asymmetric Hyperbolic Cosine Pulse with Chirped Frequency

Grira

Boutabba²,

Eleuch

2023

Mathematics

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In this research study, we derive the exact solutions of the Bloch equations describing the dynamics of a two-level atom with dephasing. In the two-level atom, a strong laser pump couples a ground state to an upper excited state with a time-dependent Rabi-frequency. The exact solutions are given for the atomic population inversion and the real and imaginary parts of the coherence while the input pulse is an asymmetric hyperbolic cosine form. Additionally, the system is under a chirped detuning. The method of solving the Bloch equations analytically is a very tedious part of the research, and as far as we know, there are few exact solutions available in this field. Hence, our solutions might be of great interest to various research areas, including nuclear magnetic resonance, where analytical solutions to the Bloch equations play a major role in the study of the information on the state of the medium as determined by the NMR signals.

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Section: Introductionmentioning

confidence: 99%

Exact Solutions of the Bloch Equations to the Asymmetric Hyperbolic Cosine Pulse with Chirped Frequency

Grira

Boutabba²,

Eleuch

2023

Mathematics

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“…The heart of a comagnetometer is a mm-scale glass vapor cell, which contains alkali-metal atoms, one or more isotopically enriched noble gases, nitrogen-quenching gas, helium buffer gas [11][12][13][14][15] and a small amount of hydrogen gas for Rb-H coating [16]. The performance of a comagnetometer is closely related to the composition and quantity of the gas mixture in the atomic vapor cell.…”

Section: Introductionmentioning

confidence: 99%

Determination of the partial and total pressures of the mixed gases in atomic vapor cells by optical absorption

Peng¹,

Liu²,

Yin³

et al. 2022

J. Phys. D: Appl. Phys.

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We study the partial and total pressures of the mixed gases in a rubidium vapor cell through its absorption spectrum under the influence of the natural broadening, the self-broadening, the pressure broadening, the pressure shift, and the Doppler broadening. A comprehensive model of the absorption coefficient on Rb D2 line is developed, which takes into account the influence of multiple gas species. The importance of light intensity selection and frequency calibration to obtain accurate experimental results are discussed. The accurate abundances are deduced from the experimentally measured absorption spectra of vacuum cells, and are used to optimize the abundance parameters in our model. We fit the experimentally measured absorption spectrum of a gas-filled cell to the optimized model, and get a root mean square error better than 0.1%. The extracted partial pressures indicate that the mixture ratio agrees well with the designed value, while the total pressure has an increment of about 17% of its nominal value. We further estimate the helium leakage amount of a cell to be 89.1 Torr for six months. Moreover, by using a series of absorption spectra generated by our model as benchmarks, we evaluate the effectiveness of the commonly used single- and double- Lorentzian fitting models and give some suggestions on using the double Lorentzian model.

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“…The hyper-polarization of isotope-enriched nuclear spins [1] can find a wide range of applications, including atomic spin attention in several areas. For example, in a nuclear magnetic resonance gyroscope (NMRG) or an atomic co-magnetometer [10,11], the nuclear quadrupolar frequency shift and relaxation of 131 Xe by collision with the container wall could affect the bias instability and detection sensitivity of the gyroscope, respectively.…”

Section: Introductionmentioning

confidence: 99%

Quadrupolar interaction induced frequency shift of 131Xe nuclear spins on the surface of silicon

chen¹,

Yu²,

Ma³

et al. 2022

J. Phys. D: Appl. Phys.

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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 $29 \times 10^{-6} rad$. The desorption energy required for the $^{131}Xe$ nuclear spin to escape from the silicon surface was $E_{si}=0.009 eV$. 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.

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Measuring the enhancement factor of the hyperpolarized Xe in nuclear magnetic resonance gyroscopes

Cited by 6 publications

References 22 publications

Exact Solutions of the Bloch Equations to the Asymmetric Hyperbolic Cosine Pulse with Chirped Frequency

Exact Solutions of the Bloch Equations to the Asymmetric Hyperbolic Cosine Pulse with Chirped Frequency

Determination of the partial and total pressures of the mixed gases in atomic vapor cells by optical absorption

Quadrupolar interaction induced frequency shift of 131Xe nuclear spins on the surface of silicon

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