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Physical Review A

Hyperfine-interaction constants of the 8 D3/2 state in Rb85 using quantum-beat spectroscopy

William Arie van Wijngaarden, Junlei Li, J. Koh

Published Jul 1, 1993• 8 citations
Publisher

Abstract

Quantum beats due to the hyperfine interaction were observed in the radiative decay of the 8${\mathit{D}}_{3/2}$ state in $^{85}\mathrm{Rb}$. 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 ${\mathit{D}}_{3/2}$ states in $^{85}\mathrm{Rb}$ and $^{87}\mathrm{Rb}$. The observed magnetic-dipole constants for the ${\mathit{nD}}_{3/2}$ n>7 states of $^{85}\mathrm{Rb}$ are given to within 2% by the relation a(MHz)=252/${\mathit{n}}^{\mathrm{*}3}$ where ${\mathit{n}}^{\mathrm{*}}$ is the effective principal quantum number.

DOI
10.1103/physreva.48.829

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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.
Hyperfine structure in three n 2 D 5/2 states (n=11, 12 and 13) of 87 Rb was investigated by the quantum-beat method in zero magnetic field. The states of interest were excited by two-photon absorption from a single hyperfine substate (with F=1) of the ground state. The magnetic-dipole interaction constant A and the electric-quadrupole interaction constant B were obtained by analysis of the modulation frequencies of the fluorescence signals (transition n 2 D 5/2 -5 2 P 3/2 ). The results (MHz) are as follows: mod A(11 2 D 5/2 ) mod =0.361(7), mod B(11 2 D 5/2 ) mod =0.071(11), mod A(12 2 D 5/2 ) mod =0.266(9), mod B(12 2 D 5/2 ) mod =0.063(14), mod A(13 2 D 5/2 ) mod =0.20(1), mod B(13 2 D 5/2 ) mod =0.05(2). For all the states, A and B differ in sign. The effective lifetimes obtained as a by-product of the experiment are also presented.