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Journal of the Physical Society of Japan

Stark Effect of the RubidiumD2 Line Studied by High-Resolution Laser Spectroscopy

Masayuki Kawamura, Wei-Guo Jin, Nobuyuki Takahashi, Tatsuya Minowa

Published Dec 10, 2009• 7 citations
Publisher

Abstract

The Stark effect of the 5 s 2 S 1/2 –5 p 2 P 3/2 transition ( D 2 line) of Rb has been studied by high-resolution atomic-beam laser spectroscopy. The splittings of magnetic sublevels of 5 p 2 P 3/2 have been resolved, and the Stark shifts and splittings of the D 2 line have been measured at various electric fields. The scalar polarizability of the D 2 line and the tensor polarizability of the 5 p 2 P 3/2 level have been determined to be α s (5 p 2 P 3/2 ) - α s (5 s 2 S 1/2 ) = 136.95(89) kHz/(kV/cm) 2 and α t (5 p 2 P 3/2 ) = -40.91(38) kHz/(kV/cm) 2 , respectively, by considering the mixing between hyperfine structure levels of 5 p 2 P 3/2 . The precision of α t (5 p 2 P 3/2 ) has been improved by a factor of 2 compared with the previously reported values.

DOI
10.1143/jpsj.78.124301

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The Stark effect of the 5 s 2 S 1/2 –5 p 2 P 3/2 transition ( D 2 line) of Rb has been studied by high-resolution atomic-beam laser spectroscopy. The splittings of magnetic sublevels of 5 p 2 P 3/2 have been resolved, and the Stark shifts and splittings of the D 2 line have been measured at various electric fields. The scalar polarizability of the D 2 line and the tensor polarizability of the 5 p 2 P 3/2 level have been determined to be α s (5 p 2 P 3/2 ) - α s (5 s 2 S 1/2 ) = 136.95(89) kHz/(kV/cm) 2 and α t (5 p 2 P 3/2 ) = -40.91(38) kHz/(kV/cm) 2 , respectively, by considering the mixing between hyperfine structure levels of 5 p 2 P 3/2 . The precision of α t (5 p 2 P 3/2 ) has been improved by a factor of 2 compared with the previously reported values.
The dc Stark shift of the D1 lines of rubidium and potassium are observed using a pair of cavity-stabilized diode lasers locked to resonance signals. The heterodyne signal from the two lasers and the optical measurements of the electrode spacing yield high-precision results. The observed scalar shifts are found to be 61.153(8) kHz (kV/cm${)}^{\mathrm{\ensuremath{-}}2}$ for rubidium and 39.400(5) kHz (kV/cm${)}^{\mathrm{\ensuremath{-}}2}$ for potassium. These results represent more than three orders of magnitude improvement in our knowledge of these Stark shifts.
The Stark shift of the (6s) 2 1 S 0 to (6s6p) 3 P 1 transition in ytterbium was measured using a laser to excite an atomic beam first in a uniform electric field and subsequently in a field-free region. The laser frequency was scanned across the transition while fluorescence produced by the radiative decay of the excited state was detected. The frequency scan was calibrated using isotope and hyperfine splittings that have been measured previously. The Stark shift rate was found to be -15.419+or-0.048 kHz kV -2 cm -2 and the tensor polarizability of the (6s6p) 3 P 1 state was determined to be alpha 2 =5.81+or-0.13 kHz kV -2 cm -2 .
Highly excitedPandDstates in87Rb were examined using a two-step excitation procedure. A conventional rf lamp and a CW dye laser were used for the first and second step, respectively. The following results for the magnetic dipole interaction constanta, the electric quadrupole interaction constantb, the LandégJfactor, and the tensor polarizability α2were obtained in level-crossing and optical-double-resonance experiments: 92P3/2:a= 4.05(3) MHz,b=0.55(3) MHz,gJ= 1.3335(15) 102P3/2:a= 2.60(8) MHz,gJ= 1.3332(20) 82D3/2:a= 2.840(15) MHz,b= 0.17(2) MHz 82D5/2:a= -1.20(15) MHz,gJ= 1.1998(15) 92D3/2:a= 1.900(10) MHz,b= 0.11(3) MHz 92D5/2:a= (-)0.80(15) MHz,gJ= 1.1995(15), α2= 180.3(9.0) MHz/(kV/cm)2 Many-body calculations of the hyperfine structure of Rb have been performed. The polarization effect is included to all orders, whereas the correlation effect is omitted. The negativeafactors for the2D5/2states, indicating large perturbations, are explained by the polarization contribution. A review of experimental hyperfine interaction constants, LandégJfactors and tensor polarizabilities for rubidium is given together with theoretical values of theafactors. The quadrupole moment for87Rb is obtained from thebfactors for the2P3/2and2D3/2states, using quadrupole parameters from the many-body calculations. The correlation effect is included in a semi-empirical way.
The Stark shift of the (6s)2{)}^{2})2 1^{1}1S0{\mathit{S}}_{0}S0​\ensuremath{\rightarrow}(6s6p)1{)}^{1})1P1{\mathit{P}}_{1}P1​ transition in barium was measured using a laser to excite an atomic beam as it traversed a uniform electric field and a field-free region. The laser frequency was scanned across the transition while fluorescence produced by the radiative decay of the excited state was detected. The frequency scan was calibrated using an acousto-optic modulator which frequency shifted the laser by a specified amount. The Stark-shift rate was found to be -28.532\ifmmode\pm\else\textpm\fi{}0.060 kHz/(kV/cm)2{)}^{2})2. The hyperfine splitting of the 135,137Ba^{135,137}\mathrm{Ba}135,137Ba F=1/2 level relative to 138Ba^{138}\mathrm{Ba}138Ba of the (6s6p)1{)}^{1})1P1{\mathit{P}}_{1}P1​ state was determined to be -549.47\ifmmode\pm\else\textpm\fi{}0.12 MHz, where the minus sign indicates that the 138Ba^{138}\mathrm{Ba}138Ba transition is at a lower frequency.