Journal of Physics Conference Series

Hyperfine stark shifts of ground states of 87, 85Rb

X. Wang, J. Jiang, Lu-You Xie, D. H. Zhang, C. Z. Dong

Published Jul 1, 2017• 0 citations

Abstract

The hyperfine stark shifts of ground states of 87, 85 Rb are calculated by using relativistic configuration interaction plus core polarization (RCICP) approach, which agree with other theoretical and experimental results very well. The hyperfine Stark shift of 87 Rb is larger than that of 85 Rb.

DOI: 10.1088/1742-6596/875/3/022049

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Journal of Physics Conference Series

Hyperfine stark shifts of ground states of 87, 85Rb

X. Wang, J. Jiang, Lu-You Xie, D. H. Zhang, C. Z. Dong

Published Jul 1, 2017• 0 citations

Publisher

Abstract

DOI: 10.1088/1742-6596/875/3/022049

Related papers

Polarizabilities and tune-out wavelengths of the hyperfine ground states of Rb87,85

Xia Wang, Jun Jiang, Lu-You Xie +2 more

The static and dynamic polarizabilities and the tune-out wavelengths of the ground state of Rb and the hyperfine ground states of $^{87,85}\mathrm{Rb}$ have been calculated by using the relativistic configuration interaction plus core polarization (RCICP) approach. It is found that the first primary tune-out wavelengths of the $5{s}_{1/2},F=1,2$ states of $^{87}\mathrm{Rb}$ are 790.018187(193) and 790.032602(193) nm, respectively, where the calculated result for the $5{s}_{1/2},F=2$ state is in good agreement with the latest high-precision measurement 790.032388(32) nm [R. H. Leonard et al., Phys. Rev. A 92, 052501 (2015)]. Similarly, the first primary tune-out wavelengths of the $5{s}_{1/2},F=2,3$ states of $^{85}\mathrm{Rb}$ are 790.023515(218) and 790.029918(218) nm, respectively. Furthermore, the tune-out wavelengths for the different magnetic sublevels ${M}_{F}$ of each hyperfine level $F$ are also determined by considering the contributions of tensor polarizabilities.The static and dynamic polarizabilities and the tune-out wavelengths of the ground state of Rb and the hyperfine ground states of $^{87,85}\mathrm{Rb}$ have been calculated by using the relativistic configuration interaction plus core polarization (RCICP) approach. It is found that the first primary tune-out wavelengths of the $5{s}_{1/2},F=1,2$ states of $^{87}\mathrm{Rb}$ are 790.018187(193) and 790.032602(193) nm, respectively, where the calculated result for the $5{s}_{1/2},F=2$ state is in good agreement with the latest high-precision measurement 790.032388(32) nm [R. H. Leonard et al., Phys. Rev. A 92, 052501 (2015)]. Similarly, the first primary tune-out wavelengths of the $5{s}_{1/2},F=2,3$ states of $^{85}\mathrm{Rb}$ are 790.023515(218) and 790.029918(218) nm, respectively. Furthermore, the tune-out wavelengths for the different magnetic sublevels ${M}_{F}$ of each hyperfine level $F$ are also determined by considering the contributions of tensor polarizabilities.

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Hyperfine Interaction, Zeeman and Stark Effects for Excited States in Rubidium

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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.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.

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Precision measurement of the Rb87 tune-out wavelength in the hyperfine ground state F=1 at 790 nm

Felix Schmidt, Daniel Mayer, Michael Hohmann +3 more

We report on a precision measurement of the $D$ line tune-out wavelength of $^{87}\text{Rb}$ in the hyperfine ground state $\left|F=1,{m}_{F}=0,\ifmmode\pm\else\textpm\fi{}1\right\ensuremath{\rangle}$ manifold at $790\phantom{\rule{0.16em}{0ex}}\mathrm{nm}$ , where the scalar ac Stark shifts of the ${D}_{1}$ and the ${D}_{2}$ lines cancel. This wavelength is sensitive to usually neglected contributions from vector and tensor ac Stark shifts, transitions to higher principle quantum numbers, and core electrons. The ac Stark shift is probed by Kapitza-Dirac scattering of a rubidium Bose-Einstein condensate in a one-dimensional optical lattice in free space and controlled magnetic environment. The tune-out wavelength of the magnetically insensitive ${m}_{F}=0$ state was determined to $790.01858(23)\phantom{\rule{0.16em}{0ex}}\mathrm{n}\mathrm{m}$ with sub-pm accuracy. An in situ absolute polarization, and magnetic background field measurement is performed by employing the ac vector Stark shift for the ${m}_{F}=\ifmmode\pm\else\textpm\fi{}1$ states. Comparing our findings to theory, we get quantitative insight into atomic physics beyond commonly used two-level atom approximations or the neglect of inner shell contributions.We report on a precision measurement of the $D$ line tune-out wavelength of $^{87}\text{Rb}$ in the hyperfine ground state $\left|F=1,{m}_{F}=0,\ifmmode\pm\else\textpm\fi{}1\right\ensuremath{\rangle}$ manifold at $790\phantom{\rule{0.16em}{0ex}}\mathrm{nm}$, where the scalar ac Stark shifts of the ${D}_{1}$ and the ${D}_{2}$ lines cancel. This wavelength is sensitive to usually neglected contributions from vector and tensor ac Stark shifts, transitions to higher principle quantum numbers, and core electrons. The ac Stark shift is probed by Kapitza-Dirac scattering of a rubidium Bose-Einstein condensate in a one-dimensional optical lattice in free space and controlled magnetic environment. The tune-out wavelength of the magnetically insensitive ${m}_{F}=0$ state was determined to $790.01858(23)\phantom{\rule{0.16em}{0ex}}\mathrm{n}\mathrm{m}$ with sub-pm accuracy. An in situ absolute polarization, and magnetic background field measurement is performed by employing the ac vector Stark shift for the ${m}_{F}=\ifmmode\pm\else\textpm\fi{}1$ states. Comparing our findings to theory, we get quantitative insight into atomic physics beyond commonly used two-level atom approximations or the neglect of inner shell contributions.

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The static and dynamic polarizabilities and the tune-out wavelengths of the ground state of Rb and the hyperfine ground states of

^{87,85}\mathrm{Rb}

have been calculated by using the relativistic configuration interaction plus core polarization (RCICP) approach. It is found that the first primary tune-out wavelengths of the

5{s}_{1/2},F=1,2

states of

^{87}\mathrm{Rb}

are 790.018187(193) and 790.032602(193) nm, respectively, where the calculated result for the

5{s}_{1/2},F=2

state is in good agreement with the latest high-precision measurement 790.032388(32) nm [R. H. Leonard et al., Phys. Rev. A 92, 052501 (2015)]. Similarly, the first primary tune-out wavelengths of the

5{s}_{1/2},F=2,3

states of

^{85}\mathrm{Rb}

are 790.023515(218) and 790.029918(218) nm, respectively. Furthermore, the tune-out wavelengths for the different magnetic sublevels

{M}_{F}

of each hyperfine level

F

are also determined by considering the contributions of tensor polarizabilities.

The influence of hyperfine interactions on the tune-out wavelengths of the

{}^{39}

{}^{40}

K, and

{}^{41}

K isotopes of the potassium atom was investigated. The hyperfine interaction of the

4{s}_{1/2}

ground state results in a shift and splitting of the primary tune-out wavelength near 769 nm. The

4{s}_{1/2}

state hyperfine splittings of the primary tune-out wavelength were almost equal to the hyperfine splittings of the ground states. The splittings in the wavelengths were 0.0009, 0.0026, and 0.0005 nm for

{}^{39}

{}^{40}

K, and

{}^{41}

K, respectively. The hyperfine splitting of the

n{p}_{J}

levels leads to the creation of additional tune-out wavelengths. The additional tune-out wavelengths could be difficult to detect due to very small differences from the transition wavelengths to the

4{p}_{J,F}

states. The hyperfine Stark shift for the ground states of all three isotopes was also computed, and the value for

{}^{39}

K was found to be compatible with the previous experiments and the most recent calculation using relativistic many-body perturbation theory.

We report on a precision measurement of the

D

line tune-out wavelength of

^{87}\text{Rb}

in the hyperfine ground state $\left|F=1,{m}_{F}=0,\ifmmode\pm\else\textpm\fi{}1\right\ensuremath{\rangle}$ manifold at

790\phantom{\rule{0.16em}{0ex}}\mathrm{nm}

, where the scalar ac Stark shifts of the

{D}_{1}

and the

{D}_{2}

lines cancel. This wavelength is sensitive to usually neglected contributions from vector and tensor ac Stark shifts, transitions to higher principle quantum numbers, and core electrons. The ac Stark shift is probed by Kapitza-Dirac scattering of a rubidium Bose-Einstein condensate in a one-dimensional optical lattice in free space and controlled magnetic environment. The tune-out wavelength of the magnetically insensitive

{m}_{F}=0

state was determined to

790.01858(23)\phantom{\rule{0.16em}{0ex}}\mathrm{n}\mathrm{m}

with sub-pm accuracy. An in situ absolute polarization, and magnetic background field measurement is performed by employing the ac vector Stark shift for the ${m}_{F}=\ifmmode\pm\else\textpm\fi{}1$ states. Comparing our findings to theory, we get quantitative insight into atomic physics beyond commonly used two-level atom approximations or the neglect of inner shell contributions.