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Optics Express

Laser-detected magnetic resonance spectra dressed by a radio-frequency field

Zhi Liang, Xu‐xing Geng, Pan-li Qi, Kai Jin, Guoqing Yang, Gao‐xiang Li, Guangming Huang

Published Sep 15, 2021• 6 citations
Publisher

Abstract

We theoretically and experimentally investigate the laser-detected magnetic resonance spectra dressed by a radio-frequency magnetic field in F g = 4 of D1 line of cesium atoms. The analytical expression of the transmission spectrum for magnetic resonance dressed by a radio-frequency magnetic field is derived and has substantial agreement with the transmission spectra observed in the experiment. The theoretical prediction of the ratio of the amplitudes of the two sidebands with the detuning is basically consistent with the experimental data, which confirms the validity of the analytical expression. The separation between the two sidebands under resonance shows a highly linear proportion to the amplitude of the dressing field, which may provide a useful scheme for the measurement of radio-frequency magnetic field and magnetic imaging.

DOI
10.1364/oe.437555

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We have theoretically and experimentally investigated the laser-detected magnetic resonance induced by radio-frequency two-photon processes in Fg=4{F}_{g}=4Fg​=4 of D1{D}_{1}D1​ line of cesium atoms. The effective Hamiltonian for the interaction between the two radio-frequency magnetic fields and sublevels at the ground state of Fg=4{F}_{g}=4Fg​=4 is derived. By appropriately selecting the frequencies of the two radio-frequency fields, the Raman two-photon process and the cascade two-photon process can occur, which induce the magnetic resonance detected through laser transmission spectra. The theoretical calculation results fit well with the experimental data. Our results maybe apply for measuring the high bandwidth radio-frequency magnetic fields in space and studying the magnetic-induction tomography.
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In an optical radio-frequency double-resonance experiment on NO2{\mathrm{O}}_{2}O2​ optical saturation resonances are observed. These resonances appear superimposed on the normal magnetic resonance spectrum. With increasing laser light intensity they change the resonance spectrum considerably. We present a model to describe the observed saturation phenomena: The resonances are attributed to the interaction of two optical photons and at least one radio-frequency photon with the molecule. The theory shows that saturation resonances appear in the population and in the coherence of the dressed-molecule levels in agreement with the experimental results.
Theoretical study and computer modeling results of the spectra of coherent dark resonances resulted from excitation of Zeeman sublevels of the Fg=2→Fe=1 transition of the D1 line in 87Rb atoms by a frequency-modulated laser field are presented and discussed in detail. The influence of the nonlinear Zeeman effect on the structure of the coherent dark resonances is observed. It is shown that calculated for different values of the magnetic field spectra are in a good agreement with the experimental data.
We study the hyperfine spectrum of atoms of 87Rb^{87}\mathrm{Rb}87Rb dressed by a radio-frequency field and present experimental results in three different situations: freely falling atoms, atoms trapped in an optical dipole trap, and atoms in an adiabatic radio-frequency dressed shell trap. In all cases, we observe several resonant sidebands spaced (in frequency) at intervals equal to the dressing frequency, corresponding to transitions enabled by the dressing field. We theoretically explain the main features of the microwave spectrum using a semiclassical model in the low-field limit and the rotating-wave approximation for alkali-metal-like species, in general, and 87Rb^{87}\mathrm{Rb}87Rb atoms, in particular. As a proof of concept, we demonstrate how the spectral signal of a dressed atomic ensemble enables an accurate determination of the dressing configuration and the probing microwave field.