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Wide range linear magnetometer based on a sub-microsized K vapor cell

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Abstract

$^{39}{\rm K}$ atoms have the smallest ground state ($^2{S_{1/2}}$) hyperfine splitting of all the most naturally abundant alkali isotopes and, consequently, the smallest characteristic magnetic field value ${B_0} = {A_{^2{S_{1/2}}}}/{\mu _B} \approx 170\,{\rm G}$, where ${A_{^2{S_{1/2}}}}$ is the ground state’s magnetic dipole interaction constant. In the hyperfine Paschen–Back regime ($B \!\gg\! {B_0}$, where $B$ is the magnitude of the external magnetic field applied on the atoms), only eight Zeeman transitions are visible in the absorption spectrum of the ${D_1}$ line of $\,^{39}{\rm K}$, while the probabilities of the remaining 16 Zeeman transitions tend to zero. In the case of $\,^{39}{\rm K}$, this behavior is reached already at relatively low magnetic field $B \!\gt \!{B_0}$. For each circular polarization (${\sigma ^ -},{\sigma ^ +}$), four spectrally resolved atomic transitions having sub-Doppler widths are recorded using a sub-microsized vapor cell of thickness $L = 120 {-} 390\;{\rm nm} $. We present a method that allows to measure the magnetic field in the range of $0.1 {-} 10\;{\rm kG} $ with micrometer spatial resolution, which is relevant in particular for the determination of magnetic fields with large gradients (up to 3 G/µm). The theoretical model describes well the experimental results.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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