Chinese Physics Letters

Tune-Out Wavelengths for the Rb Atom

Wei-Wei Yu, Rongmei Yu, Yongjun Cheng

Published Dec 1, 2015• 5 citations

Abstract

The five longest tune-out wavelengths for the rubidium atom are predicted from existing experimental and theoretical information by using an approximation formula. The formula is derived from the analysis of a non-relativistic configuration-interaction plus core polarization (CICP) calculation of the tune-out wavelengths for rubidium. The differences between the wavelengths predicted from the approximation formula and the exact CICP calculation are at the 10 −3 nm level. The predicted five longest tune-out wavelengths are 790.115 nm, 423.155 nm, 421.111 nm, 359.429 nm, and 359.022 nm, respectively.

DOI: 10.1088/0256-307x/32/12/123102

Related papers

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

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

arXiv:1610.08150Physical Review ANov 23, 201613 citations

Tune-out wavelengths for potassium

Jun Jiang, Li-Yan Tang, Jim Mitroy

arXiv:1302.6341Physical Review AMar 26, 201336 citations

Polarizabilities and tune-out wavelengths of the hyperfine ground states of 133Cs atom

J Jiang, X J Li, Zhongwen Wu +3 more

Synopsis The static and dynamic electric dipole polarizabilities of the ground state and hyperfine ground states of the 133Cs have been calculated by using relativistic configuration interaction plus core polarization (RCICP) approach. The tune-out wavelengths of ground and hyperfine ground states are also determined.

Journal of Physics Conference SeriesJan 1, 20200 citations

Tune-out wavelength for the thulium atom near 576 nm

Ivan Pyrkh, Arjuna Rudnev, Daniil Pershin +12 more

physics.atom-phCross-listedarXiv:2602.20726Physical Review AFeb 25, 20260 citations

Tune-out wavelengths for the alkaline-earth-metal atoms

Yongjun Cheng, Jun Jiang, J. Mitroy

arXiv:1307.7264Physical Review AAug 21, 201337 citations

Tune-out wavelengths for metastable helium

Jim Mitroy, Li-Yan Tang

Physical Review ANov 20, 201343 citations

Chinese Physics Letters

Tune-Out Wavelengths for the Rb Atom

Wei-Wei Yu, Rongmei Yu, Yongjun Cheng

Published Dec 1, 2015• 5 citations

Publisher

Abstract

DOI: 10.1088/0256-307x/32/12/123102

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.

arXiv:1610.08150Physical Review ANov 23, 201613 citations

Tune-out wavelengths for potassium

Jun Jiang, Li-Yan Tang, Jim Mitroy

The five longest tune-out wavelengths for the potassium atom are determined using a relativistic structure model which treats the atom as consisting of a single valence electron moving outside a closed shell core. The importance of various terms in the dynamic polarizability in the vicinity of the $4{p}_{J}$ , $5{p}_{J}$ , and $6{p}_{J}$ transitions are discussed.The five longest tune-out wavelengths for the potassium atom are determined using a relativistic structure model which treats the atom as consisting of a single valence electron moving outside a closed shell core. The importance of various terms in the dynamic polarizability in the vicinity of the $4{p}_{J}$, $5{p}_{J}$, and $6{p}_{J}$ transitions are discussed.

arXiv:1302.6341Physical Review AMar 26, 201336 citations

Polarizabilities and tune-out wavelengths of the hyperfine ground states of 133Cs atom

J Jiang, X J Li, Zhongwen Wu +3 more

Journal of Physics Conference SeriesJan 1, 20200 citations

Tune-out wavelength for the thulium atom near 576 nm

Ivan Pyrkh, Arjuna Rudnev, Daniil Pershin +12 more

We report the theoretical prediction and measurement of a tune-out wavelength for the ground state of the thulium atom in a linearly polarized optical dipole trap with a wavelength of approximately 576 nm. The measurements were conducted using a combination of trap frequency and RF loss spectroscopy, thus making it possible to separate the scalar and tensor parts of the total polarizability without measurements in the range of negative total polarizability. The calculated tune-out wavelength is consistent with the measured one of $575.646_{-0.014}^{+0.016}$ nm in air. The existence of the zero in the polarizability for the Tm ground state was confirmed by the trap loss experiment, which also made it possible to refine the tune-out wavelength to $575.646_{-0.004}^{+0.004}$ . Despite the presence of an imaginary part of the polarizability at some wavelengths, it was experimentally demonstrated that, with a proper choice of the dipole trap polarization, it was possible to achieve Bose-Einstein condensation of thulium atoms in the range from 575.348 to 575.689 nm, covering the tune-out wavelength.We report the theoretical prediction and measurement of a tune-out wavelength for the ground state of the thulium atom in a linearly polarized optical dipole trap with a wavelength of approximately 576 nm. The measurements were conducted using a combination of trap frequency and RF loss spectroscopy, thus making it possible to separate the scalar and tensor parts of the total polarizability without measurements in the range of negative total polarizability. The calculated tune-out wavelength is consistent with the measured one of $575.646_{-0.014}^{+0.016}$ nm in air. The existence of the zero in the polarizability for the Tm ground state was confirmed by the trap loss experiment, which also made it possible to refine the tune-out wavelength to $575.646_{-0.004}^{+0.004}$. Despite the presence of an imaginary part of the polarizability at some wavelengths, it was experimentally demonstrated that, with a proper choice of the dipole trap polarization, it was possible to achieve Bose-Einstein condensation of thulium atoms in the range from 575.348 to 575.689 nm, covering the tune-out wavelength.

physics.atom-phCross-listedarXiv:2602.20726Physical Review AFeb 25, 20260 citations

Tune-out wavelengths for the alkaline-earth-metal atoms

Yongjun Cheng, Jun Jiang, J. Mitroy

The lowest three tune-out wavelengths of the four alkaline-earth-metal atoms Be, Mg, Ca, and Sr are determined from tabulations of matrix elements produced from large first-principles calculations. The tune-out wavelengths are located near the wavelengths for the ${}^{3}{P}_{1}^{o}$ and ${}^{1}{P}_{1}^{o}$ excitations. The measurement of the tune-out wavelengths could be used to establish a quantitative relationship between the oscillator strength of the transition leading to existence of the tune-out wavelength and the dynamic polarizability of the atom at the tune-out frequency. The longest tune-out wavelengths for Be, Mg, Ca, Sr, Ba, and Yb are 454.9813, 457.2372, 657.446, 689.200, 788.875, and 553.00 nm, respectively.The lowest three tune-out wavelengths of the four alkaline-earth-metal atoms Be, Mg, Ca, and Sr are determined from tabulations of matrix elements produced from large first-principles calculations. The tune-out wavelengths are located near the wavelengths for the ${}^{3}{P}_{1}^{o}$ and ${}^{1}{P}_{1}^{o}$ excitations. The measurement of the tune-out wavelengths could be used to establish a quantitative relationship between the oscillator strength of the transition leading to existence of the tune-out wavelength and the dynamic polarizability of the atom at the tune-out frequency. The longest tune-out wavelengths for Be, Mg, Ca, Sr, Ba, and Yb are 454.9813, 457.2372, 657.446, 689.200, 788.875, and 553.00 nm, respectively.

arXiv:1307.7264Physical Review AAug 21, 201337 citations

Tune-out wavelengths for metastable helium

Jim Mitroy, Li-Yan Tang

The six longest tune-out wavelengths for the He( $1s2s{\phantom{\rule{4pt}{0ex}}}^{3}{S}_{1}^{e}$ ) metastable state are determined by explicit calculation. The tune-out wavelength at 413.02 nm is expected to be sensitive to finite mass, relativistic, and quantum electrodynamic effects upon the transition matrix elements and its measurement would provide a nonenergy test of fundamental atomic structure theory.The six longest tune-out wavelengths for the He($1s2s{\phantom{\rule{4pt}{0ex}}}^{3}{S}_{1}^{e}$) metastable state are determined by explicit calculation. The tune-out wavelength at 413.02 nm is expected to be sensitive to finite mass, relativistic, and quantum electrodynamic effects upon the transition matrix elements and its measurement would provide a nonenergy test of fundamental atomic structure theory.

Physical Review ANov 20, 201343 citations

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.

4{p}_{J}

5{p}_{J}

, and

6{p}_{J}

transitions are discussed.

575.646_{-0.014}^{+0.016}

nm in air. The existence of the zero in the polarizability for the Tm ground state was confirmed by the trap loss experiment, which also made it possible to refine the tune-out wavelength to

575.646_{-0.004}^{+0.004}

. Despite the presence of an imaginary part of the polarizability at some wavelengths, it was experimentally demonstrated that, with a proper choice of the dipole trap polarization, it was possible to achieve Bose-Einstein condensation of thulium atoms in the range from 575.348 to 575.689 nm, covering the tune-out wavelength.

{}^{3}{P}_{1}^{o}

and

{}^{1}{P}_{1}^{o}

excitations. The measurement of the tune-out wavelengths could be used to establish a quantitative relationship between the oscillator strength of the transition leading to existence of the tune-out wavelength and the dynamic polarizability of the atom at the tune-out frequency. The longest tune-out wavelengths for Be, Mg, Ca, Sr, Ba, and Yb are 454.9813, 457.2372, 657.446, 689.200, 788.875, and 553.00 nm, respectively.

The six longest tune-out wavelengths for the He(

1s2s{\phantom{\rule{4pt}{0ex}}}^{3}{S}_{1}^{e}

) metastable state are determined by explicit calculation. The tune-out wavelength at 413.02 nm is expected to be sensitive to finite mass, relativistic, and quantum electrodynamic effects upon the transition matrix elements and its measurement would provide a nonenergy test of fundamental atomic structure theory.