Higher orders of perturbation theory for the Stark effect on an atomic multiplet

Bolgova, I. L.; Ovsyannikov, V. D.; Pal’chikov, V. G.; Magunov, A. I.; Oppen, Gebhard von

doi:10.1134/1.1591213

Cited by 9 publications

(32 citation statements)

References 33 publications

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“…. In this case the integral over continuum of the atom B(A) in the Green's function (8) has a singularity at the energy…”

Section: Van-der-waals Ionisation Of Rydberg Atomsmentioning

confidence: 99%

“…The radial part of the Green's function (8) in the radial matrix elements (24) may be presented as a spectral resolution g r r r r r n l J n l J r r n l J n l J r…”

Section: Numerical Evaluations Of Irreducible Components Of the Van-dmentioning

confidence: 99%

“…which is equivalent to the diagonalization of the 3×3 matrix (here ij d is the Kronecker symbol, for brevity the argument R of the matrix elements is omitted) [8,41]:…”

Section: R Nljmentioning

confidence: 99%

“…So the resonance states should be removed from the Green's function Hilbert space (from the sum over n n 1 2 in (1)) and considered as a separate subspace of degenerate states where the interaction operator should be diagonalized. The reduced Green's function will appear in higher-order matrix elements of the interaction [8]. The second-order diagonal matrix elements are added to the detuning E E E 2 n n n 1 2 d = + of the two-atomic states of infinitely separated atoms.…”

Section: Introductionmentioning

confidence: 99%

“…In this paper, we determine the energy of asymptotic interaction with the use of the higher-order perturbation theory for close states [8]. The transformation between the van-der-Waals law E C R D = of the interaction-induced energy shift may be determined both qualitatively and quantitatively from the general equations, which take into account the variation of the resonance detuning caused by the interaction of atoms.…”

Section: Introductionmentioning

confidence: 99%

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Asymptotic approximations to the energy of dispersion interaction between rubidium atoms in Rydberg states

2017

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Irreducible components determining the dependence of the van der Waals coefficient C nlJM 6 ( ) on the angle θ between the interatomic and the quantisation axes of two Rb atoms in their identical Rydberg states nlJMñ | are evaluated with account of the most contributing terms of the spectral resolution for the bi-atomic Green's function. Asymptotic polynomials in powers of the Rydberg-state principal quantum number n are derived for the C 6 irreducible components. Numerical values of the polynomial coefficients are determined for Rb atoms in their n S

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“…. In this case the integral over continuum of the atom B(A) in the Green's function (8) has a singularity at the energy…”

Section: Van-der-waals Ionisation Of Rydberg Atomsmentioning

confidence: 99%

“…The radial part of the Green's function (8) in the radial matrix elements (24) may be presented as a spectral resolution g r r r r r n l J n l J r r n l J n l J r…”

Section: Numerical Evaluations Of Irreducible Components Of the Van-dmentioning

confidence: 99%

“…which is equivalent to the diagonalization of the 3×3 matrix (here ij d is the Kronecker symbol, for brevity the argument R of the matrix elements is omitted) [8,41]:…”

Section: R Nljmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Asymptotic approximations to the energy of dispersion interaction between rubidium atoms in Rydberg states

2017

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Electric-field-induced redistribution of radiation transition probabilities in atomic multiplet lines

Kamenski¹,

Ovsiannikov²

2006

J. Phys. B: At. Mol. Opt. Phys.

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Analytical dependences on a static electric field F 0 are derived for the wavefunctions, matrix elements and probabilities of radiation transitions between multiplet substates interacting in field in pairs, ranging from ordinary doublet states with spin S = 1/2, pairwise interacting sublevels of triplet and quintet states with the magnetic quantum number M = 0, to the most general case of states with arbitrary angular L and spin S momenta and maximal magnitude of the magnetic quantum number |M| = L + S − 1. Equalization of doublet line intensities in the anticrossing field region and vanishing of one of the two doublet lines in the high-field regime are demonstrated. A general relation is determined between the anticrossing field F A , multiplet splitting and tensor polarizability. The data of numerical computations with the Fues' model potential for polarizabilities of triplet states in helium and doublet states in alkali atoms are extrapolated with a three-term polynomial including 5th, 6th and 7th powers of effective principal quantum number and providing accuracy better than 0.5% in a wide range of the principal quantum number n, up to n = 1000.

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Hyperpolarizabilities of Rydberg states in helium and alkali-metal atoms

Ilinova¹,

Kamenski²,

Ovsiannikov³

2009

J. Phys. B: At. Mol. Opt. Phys.

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The static hyperpolarizabilities, oscillator-strength-distribution moments S−3 and polarizabilities for S-, P- and D-series of helium and alkali atoms in Rydberg states with principal quantum numbers n between 30 and 70 were calculated in the single-electron Fues' model potential approach. On the basis of the numerical data, three-term polynomials in powers of the effective principal quantum number have been proposed for rapid and accurate evaluations of the indicated characteristics for atoms in arbitrary highly excited states. Numerical values of the fourth-order coefficients in the field-power-series expansions for energies of S1/2-, P1/2,3/2- and D3/2,5/2-states were determined in satisfactory agreement with available data of experiments and theory for rubidium atoms. The numerical data for sodium atoms were used for evaluating the second-order and fourth-order contributions to the electric field magnitude which can tune into double resonance the two-photon transitions between Stark sublevels of the nPJ- and - states via the (n + 1)S1/2-state.

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Higher orders of perturbation theory for the Stark effect on an atomic multiplet

Cited by 9 publications

References 33 publications

Asymptotic approximations to the energy of dispersion interaction between rubidium atoms in Rydberg states

Asymptotic approximations to the energy of dispersion interaction between rubidium atoms in Rydberg states

Electric-field-induced redistribution of radiation transition probabilities in atomic multiplet lines

Hyperpolarizabilities of Rydberg states in helium and alkali-metal atoms

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