We present an experimental technique that allows us to determine the zero-field intervals between high-$\ensuremath{\ell}$ states of Rb in a magneto-optical trap, in spite of the fact that we can only control the stray electric field in one direction. The technique is based on measuring a property of the atom that depends on the field, as opposed to its square. This approach allows the determination of the zero-field intervals and the magnitude of the stray field in the uncontrolled perpendicular direction. We use this technique to observe the microwave transitions of rubidium from the $(n+1){d}_{5/2}$ states to the $ng$ and $nh$ states of $27\ensuremath{\le}n\ensuremath{\le}30$. From the observed microwave transitions, we determine the quantum defects of the $ng$ and $nh$ states. Using the quantum defects of the $ng$ and $nh$ states and the adiabatic core polarization theory, we determine the ${\mathrm{Rb}}^{+}$ ionic dipole and quadrupole polarizabilities to be ${\ensuremath{\alpha}}_{d}=9.12(2){a}_{0}^{3}$ and ${\ensuremath{\alpha}}_{q}=14(3){a}_{0}^{5}$, respectively.We present an experimental technique that allows us to determine the zero-field intervals between high-$\ensuremath{\ell}$ states of Rb in a magneto-optical trap, in spite of the fact that we can only control the stray electric field in one direction. The technique is based on measuring a property of the atom that depends on the field, as opposed to its square. This approach allows the determination of the zero-field intervals and the magnitude of the stray field in the uncontrolled perpendicular direction. We use this technique to observe the microwave transitions of rubidium from the $(n+1){d}_{5/2}$ states to the $ng$ and $nh$ states of $27\ensuremath{\le}n\ensuremath{\le}30$. From the observed microwave transitions, we determine the quantum defects of the $ng$ and $nh$ states. Using the quantum defects of the $ng$ and $nh$ states and the adiabatic core polarization theory, we determine the ${\mathrm{Rb}}^{+}$ ionic dipole and quadrupole polarizabilities to be ${\ensuremath{\alpha}}_{d}=9.12(2){a}_{0}^{3}$ and ${\ensuremath{\alpha}}_{q}=14(3){a}_{0}^{5}$, respectively.

Physical Review AAug 10, 201620 citations

Two-color polarization spectroscopy of rubidium

P. Kulatunga, H. C. Busch, L.R. Andrews +1 more

Optics CommunicationsFeb 27, 201224 citations

Measurement of Rb 5P3/2 scalar and tensor polarizabilities in a 1064-nm light field

Yun Jhih Chen, Luís F. Gonçalves, Georg A. Raithel

We employ doubly resonant two-photon excitation into the $74S$ Rydberg state to spectroscopically measure the dynamic scalar polarizability, ${\ensuremath{\alpha}}_{0}$, and tensor polarizability, ${\ensuremath{\alpha}}_{2}$, of rubidium $5{P}_{3/2}$ . A cavity-generated 1064-nm optical lattice allows us to reach intensities near $2\ifmmode\times\else\texttimes\fi{}{10}^{11}\phantom{\rule{0.28em}{0ex}}\mathrm{W}/{\mathrm{m}}^{2}$, where the atom field is larger than the hyperfine interaction, and magnetic sublevels are well resolved. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values ${\ensuremath{\alpha}}_{0}=\ensuremath{-}1149(\ifmmode\pm\else\textpm\fi{}2.5%)$ and ${\ensuremath{\alpha}}_{2}=563(\ifmmode\pm\else\textpm\fi{}4.2%)$, in atomic units. Methods and results are supported by simulations. The results provide an experimental test of atomic-structure calculations used to determine systematic shifts in atomic clocks and to interpret fundamental-physics experiments.We employ doubly resonant two-photon excitation into the $74S$ Rydberg state to spectroscopically measure the dynamic scalar polarizability, ${\ensuremath{\alpha}}_{0}$, and tensor polarizability, ${\ensuremath{\alpha}}_{2}$, of rubidium $5{P}_{3/2}$. A cavity-generated 1064-nm optical lattice allows us to reach intensities near $2\ifmmode\times\else\texttimes\fi{}{10}^{11}\phantom{\rule{0.28em}{0ex}}\mathrm{W}/{\mathrm{m}}^{2}$, where the atom field is larger than the hyperfine interaction, and magnetic sublevels are well resolved. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values ${\ensuremath{\alpha}}_{0}=\ensuremath{-}1149(\ifmmode\pm\else\textpm\fi{}2.5%)$ and ${\ensuremath{\alpha}}_{2}=563(\ifmmode\pm\else\textpm\fi{}4.2%)$, in atomic units. Methods and results are supported by simulations. The results provide an experimental test of atomic-structure calculations used to determine systematic shifts in atomic clocks and to interpret fundamental-physics experiments.

arXiv:1507.05675Physical Review ADec 9, 201511 citations

(n+1){d}_{5/2}

states to the

ng

and

nh

states of $27\ensuremath{\le}n\ensuremath{\le}30$. From the observed microwave transitions, we determine the quantum defects of the

ng

and

nh

states. Using the quantum defects of the

ng

and

nh

states and the adiabatic core polarization theory, we determine the

{\mathrm{Rb}}^{+}

ionic dipole and quadrupole polarizabilities to be ${\ensuremath{\alpha}}_{d}=9.12(2){a}_{0}^{3}$ and ${\ensuremath{\alpha}}_{q}=14(3){a}_{0}^{5}$, respectively.

We employ doubly resonant two-photon excitation into the

74S

Rydberg state to spectroscopically measure the dynamic scalar polarizability, ${\ensuremath{\alpha}}_{0}$, and tensor polarizability, ${\ensuremath{\alpha}}_{2}$, of rubidium

5{P}_{3/2}

. A cavity-generated 1064-nm optical lattice allows us to reach intensities near $2\ifmmode\times\else\texttimes\fi{}{10}^{11}\phantom{\rule{0.28em}{0ex}}\mathrm{W}/{\mathrm{m}}^{2}$, where the atom field is larger than the hyperfine interaction, and magnetic sublevels are well resolved. In the evaluation of the data we use a self-referencing method that renders the polarizability measurement largely free from the intensity calibration of the laser light field. We obtain experimental values ${\ensuremath{\alpha}}_{0}=\ensuremath{-}1149(\ifmmode\pm\else\textpm\fi{}2.5%)$ and ${\ensuremath{\alpha}}_{2}=563(\ifmmode\pm\else\textpm\fi{}4.2%)$, in atomic units. Methods and results are supported by simulations. The results provide an experimental test of atomic-structure calculations used to determine systematic shifts in atomic clocks and to interpret fundamental-physics experiments.