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arXiv:1409.0290 · Physical Review A

Quantum beat spectroscopy: Stimulated emission probe of hyperfine quantum beats in the atomic Cs 8p2P3/2 level

Servet Bayram, Phillip T. Arndt, Oleg Popov, C. Güney, W. P. Boyle, Mark D. Havey, Jacob McFarland

Published Dec 11, 2014• 13 citations
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Abstract

Measurements of hyperfine polarization quantum beats are used to determine the magnetic dipole (A) and electric quadrupole (B) coupling constants in the excited atomic Cs $8p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{3/2}$ level. The experimental approach is a combination of pulsed optical pumping and time-delayed stimulated-emission probing of the excited level. From the measured evolution of the atomic linear polarization degree as a function of probe delay time, we determine the hyperfine coupling constants $A=7.42(6)$ MHz and $B=0.14(29)$ MHz.

DOI
10.1103/physreva.90.062510

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Measurements of hyperfine polarization quantum beats are used to determine the magnetic dipole (A) and electric quadrupole (B) coupling constants in the excited atomic Cs 8p2P3/28p{\phantom{\rule{0.16em}{0ex}}}^{2}{P}_{3/2}8p2P3/2​ level. The experimental approach is a combination of pulsed optical pumping and time-delayed stimulated-emission probing of the excited level. From the measured evolution of the atomic linear polarization degree as a function of probe delay time, we determine the hyperfine coupling constants A=7.42(6)A=7.42(6)A=7.42(6) MHz and B=0.14(29)B=0.14(29)B=0.14(29) MHz.
Hyperfine quantum-beat spectroscopy has been utilized in a pump-probe configuration to measure magnetic dipole (A) and electric quadrupole (B) coupling constants in the 3d2{\mathrm{}}^{2}2D3/2{\mathrm{D}}_{3\mathrm{/}2}D3/2​ and 3d2{\mathrm{}}^{2}2D5/2{\mathrm{D}}_{5\mathrm{/}2}D5/2​ levels of three isotopes of potassium. For many of these levels, the largest hyperfine splitting is smaller than the natural width, and so a subnatural linewidth technique is required. In the experiments, the 3d levels are excited on the 4d2{\mathrm{}}^{2}2S1/2{\mathrm{S}}_{1\mathrm{/}2}S1/2​\ensuremath{\rightarrow}3d2{\mathrm{}}^{2}2Dj{\mathrm{D}}_{\mathrm{j}}Dj​ quadrupole transition with linearly polarized light. Time evolution of the alignment components in the d levels is probed by time-delayed resonant radiation on the 3d2{\mathrm{}}^{2}2Dj{\mathrm{D}}_{\mathrm{j}}Dj​\ensuremath{\rightarrow}9p2{\mathrm{}}^{2}2Pj{\mathrm{P}}_{\mathrm{j}}Pj​ transitions. Comparison of the excitation rate for two orthogonal relative polarization directions of the pump and probe laser at each delay time permits derivation of a linear polarization degree. This quantity contains beats at the various hyperfine frequencies in the d levels. Fitting the experimentally obtained time dependence to theoretical expressions allows extraction of the hyperfine coupling constants. For the 3d2{\mathrm{}}^{2}2D3/2{\mathrm{D}}_{3\mathrm{/}2}D3/2​ level of 40K^{40}\mathrm{K}40K we obtain A=0.96(4) MHz and B=0.37(8) MHz, indicating a typical precision also obtained for the other levels and isotopes.
Quantum beats due to the hyperfine interaction were observed in the radiative decay of the 8D3/2{\mathit{D}}_{3/2}D3/2​ state in 85Rb^{85}\mathrm{Rb}85Rb. The data agree well with theory allowing determination of the magnetic-dipole (\ensuremath{\Vert}a\ensuremath{\Vert}=0.879\ifmmode\pm\else\textpm\fi{}0.008 MHz) and electric-quadrupole (\ensuremath{\Vert}b\ensuremath{\Vert}=0.15\ifmmode\pm\else\textpm\fi{}0.02 MHz) (a/b>0) hyperfine constants. The results are consistent with those obtained for other D3/2{\mathit{D}}_{3/2}D3/2​ states in 85Rb^{85}\mathrm{Rb}85Rb and 87Rb^{87}\mathrm{Rb}87Rb. The observed magnetic-dipole constants for the nD3/2{\mathit{nD}}_{3/2}nD3/2​ n>7 states of 85Rb^{85}\mathrm{Rb}85Rb are given to within 2% by the relation a(MHz)=252/n∗3{\mathit{n}}^{\mathrm{*}3}n∗3 where n∗{\mathit{n}}^{\mathrm{*}}n∗ is the effective principal quantum number.
Quantum beats due to the hyperfine interaction were observed in the 6D3/2{D}_{3/2}D3/2​\ensuremath{\rightarrow}5P1/2{P}_{1/2}P1/2​ transition in 85Rb^{85}\mathrm{Rb}85Rb. Good agreement with theory was obtained, allowing determination of the values for the magnetic dipole (a=2.32\ifmmode\pm\else\textpm\fi{}0.06 MHz) and electric quadrupole (b=1.62\ifmmode\pm\else\textpm\fi{}0.06 MHz) hyperfine constants for the upper state.