Electric quadrupole shifts of the precession frequencies of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Xe</mml:mi><mml:mprescripts/><mml:none/><mml:mn>131</mml:mn></mml:mmultiscripts></mml:math> atoms in rectangular cells
Yesu Feng, Sijia Zhang, Zheng‐Tian Lu, D. Sheng
Abstract
We study an atomic comagnetometer design based on the spin precessions of $^{129}\mathrm{Xe}$ and $^{131}\mathrm{Xe}$ atoms in glass cells. The quadrupole splittings in the precession spectrum of $^{131}\mathrm{Xe}$ are fully resolved, allowing a precise determination of the magnetic-dipole precession frequency. The transverse asymmetry of quadrupole interactions, due to both the geometry and surface properties of the cell, characterized by a nonzero asymmetry parameter $\ensuremath{\eta}$, modifies the dependence of the quadrupole splittings on the relative orientation between the cell axes and the bias magnetic field and lead to additional corrections in the precession frequencies of $^{131}\mathrm{Xe}$ atoms. We examine these effects both theoretically and experimentally and develop methods to quantify and control such shifts.