We have measured the ac Stark shift of the $4{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{1}$ line in $^{40}\mathrm{Ca}$ for perturbing laser wavelengths between $780\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ and $1064\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ with a time domain Ramsey-Bord\'e atom interferometer. We found a zero crossing of the shift for the ${m}_{S}=0--{m}_{P}=0$ transition and $\ensuremath{\sigma}$ polarized perturbation at $800.8(22)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ . The data was analyzed by a model deriving the energy shift from known transition wavelengths and strengths. To fit our data, we adjusted the Einstein $A$ coefficients of the $4s3d\phantom{\rule{0.2em}{0ex}}^{3}D--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P$ and $4s5s\phantom{\rule{0.2em}{0ex}}^{3}S--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P$ fine structure multiplets. With these we can predict vanishing ac Stark shifts for the $^{1}S_{0}\phantom{\rule{0.2em}{0ex}}m=0--^{3}P_{1}\phantom{\rule{0.2em}{0ex}}m=1$ transition and ${\ensuremath{\sigma}}^{\ensuremath{-}}$ light at $983(12)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ and at $735.5(20)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ for the transition to the $^{3}P_{0}$ level.We have measured the ac Stark shift of the $4{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{1}$ line in $^{40}\mathrm{Ca}$ for perturbing laser wavelengths between $780\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ and $1064\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ with a time domain Ramsey-Bord\'e atom interferometer. We found a zero crossing of the shift for the ${m}_{S}=0--{m}_{P}=0$ transition and $\ensuremath{\sigma}$ polarized perturbation at $800.8(22)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$. The data was analyzed by a model deriving the energy shift from known transition wavelengths and strengths. To fit our data, we adjusted the Einstein $A$ coefficients of the $4s3d\phantom{\rule{0.2em}{0ex}}^{3}D--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P$ and $4s5s\phantom{\rule{0.2em}{0ex}}^{3}S--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P$ fine structure multiplets. With these we can predict vanishing ac Stark shifts for the $^{1}S_{0}\phantom{\rule{0.2em}{0ex}}m=0--^{3}P_{1}\phantom{\rule{0.2em}{0ex}}m=1$ transition and ${\ensuremath{\sigma}}^{\ensuremath{-}}$ light at $983(12)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ and at $735.5(20)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}$ for the transition to the $^{3}P_{0}$ level.

arXiv:physics/0406018Physical Review AAug 27, 200446 citations

Perturbation Theory and Stark Effect

Springer eBooksSep 30, 20060 citations

Probabilities of radiative transitions between Stark states in orthohelium

A. A. Kamenskii, V. D. Ovsyannikov

The wavefunctions, matrix elements, and probabilities of radiative transitions between Stark sub-levels of atomic multiplets are calculated as a function of the strength of a dc electric field. The general expressions for the wavefunction of a multiplet state in a field obtained by perturbation theory for close-lying levels with the use of completely reduced Green’s function allow one to determine the field dependence of both the dipole-allowed and dipole-forbidden radiation amplitudes. A decomposition of the second-order amplitude for the transition between fine-structure sublevels of two levels of equal parity into irreducible components is obtained. Numerical calculations of the probabilities of radiative transitions between triplet states of helium show the possibility of experimental observation of the emergence and vanishing of Stark lines of radiative transitions in the vicinity of anticrossing fields.The wavefunctions, matrix elements, and probabilities of radiative transitions between Stark sub-levels of atomic multiplets are calculated as a function of the strength of a dc electric field. The general expressions for the wavefunction of a multiplet state in a field obtained by perturbation theory for close-lying levels with the use of completely reduced Green’s function allow one to determine the field dependence of both the dipole-allowed and dipole-forbidden radiation amplitudes. A decomposition of the second-order amplitude for the transition between fine-structure sublevels of two levels of equal parity into irreducible components is obtained. Numerical calculations of the probabilities of radiative transitions between triplet states of helium show the possibility of experimental observation of the emergence and vanishing of Stark lines of radiative transitions in the vicinity of anticrossing fields.

Journal of Experimental and Theoretical PhysicsMar 1, 20051 citation

Electron Correlations in the Unified Model for Stark Broadening

Hubert Capes, Dietrich Voslamber

Physical Review AOct 1, 19721 citation

Magnetooptics of the 1 D 2 → 3 F 4 radiative transition in thulium:yttrium-aluminum garnet Tm3+:YAG

Uygun V. Valiev, John B. Gruber, I. R. Gapdulkhakov +4 more

The spectra of luminescence and magnetic circular polarization of luminescence in the 1 D 2 → 3 F 4 emission band in thulium:yttrium-aluminum garnet Tm3+:YAG (Tm3+:Y3Al5O12) have been investigated at temperatures T = 78 and 293 K, respectively. Based on the analysis of the magnetooptical and optical spectra, the optical transitions between the Stark sublevels of the 3 F 4 and 1 D 2 multiplets in Tm3+:YAG were identified. It is shown that the symmetry and energies of the Stark sublevels of the 3 F 4, 1 D 2, and 3 H 6 multiplets, found experimentally from magnetic and magnetooptical studies, confirm the results of theoretical calculations of the energy spectrum of the rare earth Tm3+ ion in YAG.The spectra of luminescence and magnetic circular polarization of luminescence in the 1 D 2 → 3 F 4 emission band in thulium:yttrium-aluminum garnet Tm3+:YAG (Tm3+:Y3Al5O12) have been investigated at temperatures T = 78 and 293 K, respectively. Based on the analysis of the magnetooptical and optical spectra, the optical transitions between the Stark sublevels of the 3 F 4 and 1 D 2 multiplets in Tm3+:YAG were identified. It is shown that the symmetry and energies of the Stark sublevels of the 3 F 4, 1 D 2, and 3 H 6 multiplets, found experimentally from magnetic and magnetooptical studies, confirm the results of theoretical calculations of the energy spectrum of the rare earth Tm3+ ion in YAG.

Optics and SpectroscopyJun 1, 20099 citations

STABILIZATION IN THE QUASI-BOUND STARK SPECTRUM

Dominique Delande

Jul 18, 19880 citations

We have measured the ac Stark shift of the

4{s}^{2}\phantom{\rule{0.2em}{0ex}}^{1}S_{0}--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P_{1}

line in

^{40}\mathrm{Ca}

for perturbing laser wavelengths between

780\phantom{\rule{0.3em}{0ex}}\mathrm{nm}

and

1064\phantom{\rule{0.3em}{0ex}}\mathrm{nm}

with a time domain Ramsey-Bord\'e atom interferometer. We found a zero crossing of the shift for the

{m}_{S}=0--{m}_{P}=0

transition and $\ensuremath{\sigma}$ polarized perturbation at

800.8(22)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}

. The data was analyzed by a model deriving the energy shift from known transition wavelengths and strengths. To fit our data, we adjusted the Einstein

A

coefficients of the

4s3d\phantom{\rule{0.2em}{0ex}}^{3}D--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P

and

4s5s\phantom{\rule{0.2em}{0ex}}^{3}S--4s4p\phantom{\rule{0.2em}{0ex}}^{3}P

fine structure multiplets. With these we can predict vanishing ac Stark shifts for the

^{1}S_{0}\phantom{\rule{0.2em}{0ex}}m=0--^{3}P_{1}\phantom{\rule{0.2em}{0ex}}m=1

transition and ${\ensuremath{\sigma}}^{\ensuremath{-}}$ light at

983(12)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}

and at

735.5(20)\phantom{\rule{0.3em}{0ex}}\mathrm{nm}

for the transition to the

^{3}P_{0}

level.