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.

arXiv:1512.03578Physical Review AFeb 16, 201656 citations

Spectral Profiles of Rb-D Lines

Toshiharu Tako, Y. Koga, Isao Hirano

Japanese Journal of Applied PhysicsAug 1, 19750 citations

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.

arXiv:1610.08150Physical Review ANov 23, 201613 citations

Precision Measurement of the Rb D2 Transition Linewidth at Ultralow Temperature

Brad Schultz, George Noble, He Ming +1 more

APSMay 1, 20080 citations

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.

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.