Physical Review A

Polarizabilities of Rydberg states of Rb atoms with n up to 140

Zhangli Lai, Shichao Zhang, Qingdong Gou, Yong Li

Published Nov 6, 2018• 15 citations

Abstract

Up to the present, although experimental studies about the polarizabilities of alkali-metal Rydberg atoms have involved the states with principal quantum numbers $n\ensuremath{\le}80$, theoretical calculations are limited to the states with $n\ensuremath{\le}50$. In this work, we calculate the scalar and tensor polarizabilities of the $n{S}_{1/2}$, $n{P}_{1/2,3/2}$, and $n{D}_{3/2,5/2}$ Rydberg states of Rb with principal quantum number $n$ up to 140 employing a model potential and the $B$-spline expansion technique. We obtain the polarizabilities that are in good agreement with the existing theoretical and experimental data.

DOI: 10.1103/physreva.98.052503

Related papers

POLARIZABILITIES OF HIGH RYDBERG ALKALI ATOMS

HE XING-HONG, Baiwen Li, ZHANG CHENG-XIU +1 more

A potential model for atoms is employed to calculate the scalar and tensor polarizabilities of Rydberg states (15≤n≤55) of Na, K, Rb and Cs. The results are very close to the experimental values. The scaling relations of the polarizabilities a = An*7 + Bn*6 are also established, and the results obtained from them also agree with experimental data satisfatorily.

Acta Physica SinicaJan 1, 198914 citations

Electric dipole polarizabilities of Rydberg states of alkali-metal atoms

Vladimir A. Yerokhin, Stefan Yoshi Buhmann, S. Fritzsche +1 more

arXiv:1608.04515Physical Review ASep 6, 201631 citations

Lifetimes of alkali-metal—atom Rydberg states

Constantine E. Theodosiou

Physical Review ADec 1, 1984316 citations

Dipole polarizabilities of excited alkali-metal atoms and long-range interactions of ground- and excited-state alkali-metal atoms with helium atoms

Cheng Zhu, A. Dalgarno, S. G. Porsev +1 more

Physical Review ASep 30, 200441 citations

Scalar and tensor polarizabilities of D2 Rydberg states in Rb

Maurice S. O'Sullivan, Boris Peter Stoicheff

Physical Review AMar 1, 198634 citations

Scalar polarizabilities and avoided crossings of high Rydberg states in Rb

Maurice S. O'Sullivan, Boris Peter Stoicheff

Physical Review AApr 1, 198537 citations

Physical Review A

Polarizabilities of Rydberg states of Rb atoms with n up to 140

Zhangli Lai, Shichao Zhang, Qingdong Gou, Yong Li

Published Nov 6, 2018• 15 citations

Publisher

Abstract

Up to the present, although experimental studies about the polarizabilities of alkali-metal Rydberg atoms have involved the states with principal quantum numbers

n\ensuremath{\le}80

, theoretical calculations are limited to the states with

n\ensuremath{\le}50

. In this work, we calculate the scalar and tensor polarizabilities of the

n{S}_{1/2}

n{P}_{1/2,3/2}

, and

n{D}_{3/2,5/2}

Rydberg states of Rb with principal quantum number

n

up to 140 employing a model potential and the

B

-spline expansion technique. We obtain the polarizabilities that are in good agreement with the existing theoretical and experimental data.

DOI: 10.1103/physreva.98.052503

Related papers

POLARIZABILITIES OF HIGH RYDBERG ALKALI ATOMS

HE XING-HONG, Baiwen Li, ZHANG CHENG-XIU +1 more

Acta Physica SinicaJan 1, 198914 citations

Electric dipole polarizabilities of Rydberg states of alkali-metal atoms

Vladimir A. Yerokhin, Stefan Yoshi Buhmann, S. Fritzsche +1 more

Calculations of the static electric-dipole scalar and tensor polarizabilities are presented for two alkali-metal atoms, Rb and Cs, for the $nS, n{P}_{\textonehalf{},\phantom{\rule{0.16em}{0ex}}3/2}$, and $n{D}_{3/2,\phantom{\rule{0.16em}{0ex}}5/2}$ states with large principal quantum numbers up to $n=50$ . The calculations are performed within an effective one-electron approximation, based on the Dirac-Fock Hamiltonian with a semiempirical core-polarization potential. The obtained results are compared with those from a simpler semiempirical approach and with available experimental data.Calculations of the static electric-dipole scalar and tensor polarizabilities are presented for two alkali-metal atoms, Rb and Cs, for the $nS, n{P}_{\textonehalf{},\phantom{\rule{0.16em}{0ex}}3/2}$, and $n{D}_{3/2,\phantom{\rule{0.16em}{0ex}}5/2}$ states with large principal quantum numbers up to $n=50$. The calculations are performed within an effective one-electron approximation, based on the Dirac-Fock Hamiltonian with a semiempirical core-polarization potential. The obtained results are compared with those from a simpler semiempirical approach and with available experimental data.

arXiv:1608.04515Physical Review ASep 6, 201631 citations

Lifetimes of alkali-metal—atom Rydberg states

Constantine E. Theodosiou

We report a comprehensive set of calculations of the lifetimes of Rydberg states in alkali-metal atoms, using realistic potentials to represent the atomic core. The effects due to core polarizability, spin-orbit interaction, and blackbody radiation are explicitly included. A complete cross reference listing of all available experimental lifetimes is also attempted. The results compare well with experiment for all principal quantum numbers $n$ examined and should provide guidance for future experimental investigations. The relation of the present approach to other works is discussed.We report a comprehensive set of calculations of the lifetimes of Rydberg states in alkali-metal atoms, using realistic potentials to represent the atomic core. The effects due to core polarizability, spin-orbit interaction, and blackbody radiation are explicitly included. A complete cross reference listing of all available experimental lifetimes is also attempted. The results compare well with experiment for all principal quantum numbers $n$ examined and should provide guidance for future experimental investigations. The relation of the present approach to other works is discussed.

Physical Review ADec 1, 1984316 citations

Dipole polarizabilities of excited alkali-metal atoms and long-range interactions of ground- and excited-state alkali-metal atoms with helium atoms

Cheng Zhu, A. Dalgarno, S. G. Porsev +1 more

The scalar and tensor dynamic polarizabilities of the first excited $^{2}P_{1∕2,3∕2}$ states of the alkali-metal atoms $\mathrm{Na}$ , $\mathrm{K}$ , and $\mathrm{Rb}$ are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.The scalar and tensor dynamic polarizabilities of the first excited $^{2}P_{1∕2,3∕2}$ states of the alkali-metal atoms $\mathrm{Na}$, $\mathrm{K}$, and $\mathrm{Rb}$ are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.

Physical Review ASep 30, 200441 citations

Scalar and tensor polarizabilities of D2 Rydberg states in Rb

Maurice S. O'Sullivan, Boris Peter Stoicheff

Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of n ${\mathrm{}}^{2}$ D Rydberg states of $^{85}\mathrm{Rb}$ (for n=13--55). Scalar and tensor polarizabilities were determined and found to depend on ( ${n}^{\mathrm{*}}$ ${)}^{6}$ and ( ${n}^{\mathrm{*}}$ ${)}^{7}$ , in agreement with theory. The resulting polarizabilities were used to obtain estimates of radial integrals for D-P transitions.Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of n ${\mathrm{}}^{2}$D Rydberg states of $^{85}\mathrm{Rb}$ (for n=13--55). Scalar and tensor polarizabilities were determined and found to depend on (${n}^{\mathrm{*}}$${)}^{6}$ and (${n}^{\mathrm{*}}$${)}^{7}$, in agreement with theory. The resulting polarizabilities were used to obtain estimates of radial integrals for D-P transitions.

Physical Review AMar 1, 198634 citations

Scalar polarizabilities and avoided crossings of high Rydberg states in Rb

Maurice S. O'Sullivan, Boris Peter Stoicheff

Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of $n^{2}S$ Rydberg states of $^{85}\mathrm{Rb}$ (for $n=15 \mathrm{to} 80$ ). Scalar polarizabilities ${\ensuremath{\alpha}}_{0}$ were found to obey the relation ${\ensuremath{\alpha}}_{0}[\mathrm{in}\mathrm{MHz}/{(\mathrm{V}/\mathrm{cm})}^{2}]=2.202(28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}{n}^{*6}+5.53(13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}{n}^{*7}$, in good agreement with theoretical values. Avoided crossings were also determined, and first avoided crossings (with the $n\ensuremath{-}3$ manifold of levels) fitted the relation $E(\mathrm{in}\mathrm{V}/\mathrm{cm})=4.638(6)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{8}}{{n}^{*5}}+1.528(18)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{10}}{{n}^{*7}}$.Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of $n^{2}S$ Rydberg states of $^{85}\mathrm{Rb}$ (for $n=15 \mathrm{to} 80$). Scalar polarizabilities ${\ensuremath{\alpha}}_{0}$ were found to obey the relation ${\ensuremath{\alpha}}_{0}[\mathrm{in}\mathrm{MHz}/{(\mathrm{V}/\mathrm{cm})}^{2}]=2.202(28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}{n}^{*6}+5.53(13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}{n}^{*7}$, in good agreement with theoretical values. Avoided crossings were also determined, and first avoided crossings (with the $n\ensuremath{-}3$ manifold of levels) fitted the relation $E(\mathrm{in}\mathrm{V}/\mathrm{cm})=4.638(6)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{8}}{{n}^{*5}}+1.528(18)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{10}}{{n}^{*7}}$.

Physical Review AApr 1, 198537 citations

Up to the present, although experimental studies about the polarizabilities of alkali-metal Rydberg atoms have involved the states with principal quantum numbers

n\ensuremath{\le}80

, theoretical calculations are limited to the states with

n\ensuremath{\le}50

. In this work, we calculate the scalar and tensor polarizabilities of the

n{S}_{1/2}

n{P}_{1/2,3/2}

, and

n{D}_{3/2,5/2}

Rydberg states of Rb with principal quantum number

n

up to 140 employing a model potential and the

B

-spline expansion technique. We obtain the polarizabilities that are in good agreement with the existing theoretical and experimental data.

n{D}_{3/2,\phantom{\rule{0.16em}{0ex}}5/2}

states with large principal quantum numbers up to

n=50

. The calculations are performed within an effective one-electron approximation, based on the Dirac-Fock Hamiltonian with a semiempirical core-polarization potential. The obtained results are compared with those from a simpler semiempirical approach and with available experimental data.

n

examined and should provide guidance for future experimental investigations. The relation of the present approach to other works is discussed.

The scalar and tensor dynamic polarizabilities of the first excited

^{2}P_{1∕2,3∕2}

states of the alkali-metal atoms

\mathrm{Na}

\mathrm{K}

, and

\mathrm{Rb}

are calculated using relativistic many-body perturbation theory. Comparison with experimental measurements of the static polarizabilities suggests that the errors in the theoretical predictions do not exceed 1%. The dynamic polarizabilities at imaginary frequencies are employed to calculate the long-range van der Waals coefficients for the interaction of ground-state helium atoms with the excited alkali-metal atoms to a probable error of less than 2%.

Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of n

{\mathrm{}}^{2}

D Rydberg states of

^{85}\mathrm{Rb}

(for n=13--55). Scalar and tensor polarizabilities were determined and found to depend on (

{n}^{\mathrm{*}}

{)}^{6}

and (

{n}^{\mathrm{*}}

{)}^{7}

, in agreement with theory. The resulting polarizabilities were used to obtain estimates of radial integrals for D-P transitions.

Two-photon Doppler-free spectroscopy has been used to measure Stark shifts of

n^{2}S

Rydberg states of

^{85}\mathrm{Rb}

(for

n=15 \mathrm{to} 80

). Scalar polarizabilities ${\ensuremath{\alpha}}_{0}$ were found to obey the relation ${\ensuremath{\alpha}}_{0}[\mathrm{in}\mathrm{MHz}/{(\mathrm{V}/\mathrm{cm})}^{2}]=2.202(28)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}9}{n}^{*6}+5.53(13)\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}11}{n}^{*7}$, in good agreement with theoretical values. Avoided crossings were also determined, and first avoided crossings (with the $n\ensuremath{-}3$ manifold of levels) fitted the relation $E(\mathrm{in}\mathrm{V}/\mathrm{cm})=4.638(6)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{8}}{{n}^{*5}}+1.528(18)\ifmmode\times\else\texttimes\fi{}\frac{{10}^{10}}{{n}^{*7}}$.