Periodically modulated systems with parity symmetry have been extensively investigated in recent years and exhibited various novel phenomena and potential applications in quantum technologies. In this study, a pump-probe structure is used to observe the influence of generalized parity on the alignment spectra of magnetic resonance in a periodically biharmonic modulated warm atomic cesium ensemble. The alignment spectra are symmetric when the generalized parity of modulated Floquet atomic ensemble is present. The breaking of spectral symmetry is accompanied by the absence of generalized parity. The influence of generalized parity on atomic alignment polarization distribution is analyzed based on the perspective of the angular-momentum probability surface. A necessary and sufficient condition for generalized parity to maintain spectral symmetry is verified experimentally and theoretically, providing a new perspective to investigative complex periodic modulation system. The results are universally applicable to atomic and solid-state systems.
We present a theoretical study of double-resonance alignment magnetometers using linearly polarized light, in which the effect of atomic high-order multipole moments is considered. Starting from the effective master equation of our system obtained by eliminating the excited state adiabatically, we derive the full evolution equations of the atomic multipole moments. The analytic solutions of resonance signals involving the four-order multipole moments effect are obtained by using the perturbation approach. We present that the four-order multipole moments effect is negligible in the weak laser field, and the results reduce to that obtained by a three-step approach. However, the role of four-order multipole moments coupled by two-order tensor moments is more significant with the increasing Rabi frequency of light, which cannot be ignored. Meanwhile, the analytic expressions of relaxation processes are also studied, which are a linear combination of the laser-induced equivalent relaxation rate
Γ
L
and the spin-exchange collision rate
Γ
g
. The expected domain of validity of the three-step approach on light power is roughly given by
Γ
L
<2021
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