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Journal of Physics B Atomic and Molecular Physics

Determination of lifetimes and hyperfine structures of the 8, 9 and 102D3/2states of133Cs by quantum-beat spectroscopy

J. S. Deech, Robert Luypaert, George William Series

Published Jun 21, 1975• 50 citations
Publisher

Abstract

The states were studied by selective detection of the fluorescence generated in atoms of the vapour by stepwise excitation, using as sources a conventional caesium lamp for the first step from the ground state and a pulsed, tunable laser for the second. The techniques of delayed coincidence counting were applied to measure the time distribution of intensity of the fluorescent light. The observed modulation, representing in each case a superposition of the hyperfine intervals showed a characteristic period which was interpreted as the reciprocal of the magnetic interaction constant a for the states in question. The relative simplicity of the modulation patterns is a consequence of the negligibly small quadrupole interaction in 133 Cs. With the polarizer oriented at cos -1 3 -1/2 to the analyzer the modulation was suppressed, leaving a simple exponential decay from which the lifetime of the population tau , could be determined.

DOI
10.1088/0022-3700/8/9/007

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arXiv:1409.0290•Physical Review A•Dec 11, 2014•13 citations
The states were studied by selective detection of the fluorescence generated in atoms of the vapour by stepwise excitation, using as sources a conventional caesium lamp for the first step from the ground state and a pulsed, tunable laser for the second. The techniques of delayed coincidence counting were applied to measure the time distribution of intensity of the fluorescent light. The observed modulation, representing in each case a superposition of the hyperfine intervals showed a characteristic period which was interpreted as the reciprocal of the magnetic interaction constant a for the states in question. The relative simplicity of the modulation patterns is a consequence of the negligibly small quadrupole interaction in 133 Cs. With the polarizer oriented at cos -1 3 -1/2 to the analyzer the modulation was suppressed, leaving a simple exponential decay from which the lifetime of the population tau , could be determined.
The hyperfine structure and lifetime of the 6 2 D 3/2 and 6 2 D 5/2 states in 39 K are studied experimentally. The states were excited from the ground state by two-photon absorption of the laser light pulses. The hyperfine-structure intervals, and hence the hyperfine-structure interaction constants, were obtained from the numerical analysis of the zero-field quantum beat signals. The unmodulated component of the fluorescence decay curve served to determine the lifetime. In a separate experiment a magnetic field was applied to induce partial decoupling of the electronic and nuclear angular momenta in the 6 2 D states. The sign of the magnetic dipole interaction constants was deduced from the resulting difference between the intensities of sigma + and sigma - polarised fluorescence.
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.
Measurements have been made of time-resolved fluorescence from n 2 S 1/2 and n 2 D 3/2 states of 133 Cs (n=8 to 14) over a range of vapour densities covering the onset of collisional depopulation. Lifetimes for the free atom and depopulation cross sections are deduced. Lifetimes are proportional to (n*) x with x=2.52+or-0.06 (S states) and 2.62+or-0.06 (D 3/2 states). Cross sections are proportional to (n*) 4 . Hyperfine-structure interaction constants for the 2 D 3/2 states determined by the method of quantum beats agree with the recent results of Belin et al. (1976).
Cross sections for the disalignment of excited caesium atoms, by collision with atoms in ground states, have been determined by studying the damping of quantum beats in fluorescence. Atoms in a sealed cell were excited selectively to 122D3/2 and 132S3/2 by a pulsed tunable laser and discharge lamp. Alignment was induced by linear polarisation of the exciting light and monitored correspondingly. The quantum beats originate in the coherent excitation of hyperfine states whose structures have been determined in previous work. Collisional damping is investigated studying the quantum-beat signal over a range of atomic densities. The fluorescence contains a component representing the decay of population as well as of alignment, and extraction of the alignment cross sections relies on previous measurements of the depopulation cross sections. The results for disalignment cross sections are: sigma (2)(122D3/2)=4.1+or-0.8*10-16 m2, sigma (2)(132D3/2)=5.3+or-0.9*10-16 m2, about three times larger than the depopulation cross sections. Radiative lifetimes obtained from the analysis agree with previous determinations.
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.