Physical Review A

Laser-detected magnetic resonance induced by radio-frequency two-photon processes

Xu‐xing Geng, Guoqing Yang, Pan-li Qi, Wangwang Tang, Shangqing Liang, Gao‐xiang Li, Guangming Huang

Published May 17, 2021• 16 citations

Abstract

We have theoretically and experimentally investigated the laser-detected magnetic resonance induced by radio-frequency two-photon processes in ${F}_{g}=4$ of ${D}_{1}$ line of cesium atoms. The effective Hamiltonian for the interaction between the two radio-frequency magnetic fields and sublevels at the ground state of ${F}_{g}=4$ 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.

DOI: 10.1103/physreva.103.053112

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Physical Review A

Laser-detected magnetic resonance induced by radio-frequency two-photon processes

Xu‐xing Geng, Guoqing Yang, Pan-li Qi, Wangwang Tang, Shangqing Liang, Gao‐xiang Li, Guangming Huang

Published May 17, 2021• 16 citations

Publisher

Abstract

We have theoretically and experimentally investigated the laser-detected magnetic resonance induced by radio-frequency two-photon processes in

{F}_{g}=4

{D}_{1}

line of cesium atoms. The effective Hamiltonian for the interaction between the two radio-frequency magnetic fields and sublevels at the ground state of

{F}_{g}=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.

DOI: 10.1103/physreva.103.053112

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Frequency-modulation spectroscopy of coherent dark resonances of multilevel atoms in magnetic field

Yu. V. Vladimirova, Victor N. Zadkov

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.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.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIESep 10, 20100 citations

We have theoretically and experimentally investigated the laser-detected magnetic resonance induced by radio-frequency two-photon processes in

{F}_{g}=4

{D}_{1}

line of cesium atoms. The effective Hamiltonian for the interaction between the two radio-frequency magnetic fields and sublevels at the ground state of

{F}_{g}=4

{\mathrm{Pr}}^{3+}

: La

{\mathrm{F}}_{3}

at 1.6 K utilizing the

{\mathrm{Pr}}^{3+}

optical transition $^{3}H_{4}({\ensuremath{\Gamma}}_{1})\ensuremath{\rightarrow}^{1}D_{2}({\ensuremath{\Gamma}}_{1})$. The laser field of frequency ${\ensuremath{\omega}}_{E}$ and the rf field (${\ensuremath{\omega}}_{H}$) induce a light wave at the sum ${\ensuremath{\omega}}_{E}+{\ensuremath{\omega}}_{H}$ (anti-Stokes) and difference ${\ensuremath{\omega}}_{E}\ensuremath{-}{\ensuremath{\omega}}_{H}$ (Stokes) frequencies, generating an absorptive or dispersive heterodyne beat signal (${\ensuremath{\omega}}_{H}$) with the laser field at a photodetector. The theory of this effect is characterized in a new three-level perturbation calculation which requires, unlike the usual stimulated Raman effect, that all three transitions be electric- or magnetic-dipole allowed. Detailed predictions are confirmed by cw measurements of the

{\mathrm{Pr}}^{3+}

: La

{\mathrm{F}}_{3}

hyperfine splittings where the optical heterodyne signals are shot-noise limited. The

{\mathrm{Pr}}^{3+}

nuclear quadrupole parameters are obtained for the

^{3}H_{4}

and

^{1}D_{2}

states where the line centers are determined with kilohertz precision. The corresponding wave functions show significant hyperfine-state mixing, as required for all three transitions to be dipole allowed. The cw line shapes are narrow (30-160 kHz), inhomogeneously broadened by nuclear magnetic interactions, and reveal either a Gaussian or an anomalous second-derivative---like line shape. The spin-echo measurements for the

^{3}H_{4}

and

^{1}D_{2}

hyperfine transitions yield homogeneous line shapes which are Lorentzian, and rather surprisingly, linewidths in the narrow range 10-20 kHz, a result which tests current line-broadening theories.