Spin-orbit effects in the heavy alkaline-earth atoms

Greene, Chris H.; Aymar, M

doi:10.1103/physreva.44.1773

Cited by 133 publications

(114 citation statements)

References 61 publications

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“…However, the use of a polarization potential tuned to the experimental binding energy will implicitly take into account the influence of relativistic effects upon the core electron distribution. Further, Greene and Aymar have shown that the spin-orbit interaction does not have major effect on the structure of the alkaline-earth-metal wave functions [15].…”

Section: A Methodologymentioning

confidence: 99%

Properties of the triplet metastable states of the alkaline-earth-metal atoms

Mitroy

Bromley

2004

Phys. Rev. A

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The static and dynamic properties of the alkaline-earth-metal atoms in their metastable state are computed in a configuration interaction approach with a semiempirical model potential for the core. Among the properties determined are the scalar and tensor polarizabilities, the quadrupole moment, some of the oscillator strengths, and the dispersion coefficients of the van der Waals interaction. A simple method for including the effect of the core on the dispersion parameters is described.

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Section: A Methodologymentioning

confidence: 99%

Properties of the triplet metastable states of the alkaline-earth-metal atoms

Mitroy

Bromley

2004

Phys. Rev. A

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“…The same theoretical and numerical techniques have been used as in our previous articles [1,3,4]. The techniques are "nearly" ab initio; effects of the 18 core electrons are described using a screened Coulomb potential [5] with a dipole polarizability that gives the correct energies of the one-electron-like ion Sc III. We solve for the three-electron valence wave function with the streamlined version [6] of the eigenchannel B-matrix technology in an A-matrix volume rq, r2, r3 ( 21 a.u.…”

Section: Introductionmentioning

confidence: 99%

Photoionization of the scandium atom. II. Classifications

Robicheaux

Greene

1993

Phys. Rev. A

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In this paper we use the calculated photoabsorption cross section and scattering parameters to classify most of the autoionizing lines reported by Garton et al. [Proc. R. Soc. London Ser. A 333, 1 (1973)]. This study proves the capability of eigenchannel R-matrix calculations to provide spectroscopically useful information on the complicated spectra of transition-metal atoms. We present cross sections for the six optically allowed combinations 4s 3d Dsy2 sI2~1 /2, 3 /2, 5 /2, 7 /2 from near the (4s3d) D thresholds to the (3d ) F thresholds.PACS number(s): 32.80.Fb, 31.20.Di, 32.80.Dz I. IN TROD U CTIONThe preceding paper describes general aspects of Sc photoionization dynamics in the low-energy autoionizing region [1]; the transition-metal atoms have rarely been studied in this region of their spectrum. The theoretical description of the spectra is complicated by the large number of closely spaced thresholds; the Rydberg series interact with each other producing a complicated spectrum. The calculated scattering parameters need to be very accurate to place the perturbers in the correct positions; the theoretical spectrum can appear very different even if the perturber has only a small error in its quantum defect (because the error in the position of the perturber is [Aw (a.u. )] = Ap/vs, where the efFective quantum number v is comparatively small in the perturbing channel). The lessons learned in the theoretical treatment of Sc may apply to the other transition metals since the valence shell for all of these elements is composed of s and d orbitals.The focus of this paper is on the detailed classification of the autoionizing lines reported by Garton et al.[2] (GRTE). We present theoretical spectra for photoionization from the D3y2 5/2 ground electronic states along with the positions of some experimental lines marked by vertical lines; this comparison can indicate the level of agreement between theory and experiment. The results reported here are complementary to those reported earlier [1]; a better understanding of Sc can be obtained by studying both the fine-scale details and the large-scale dynamics. The following paper predicts the photoionization of an even-parity Sc excited state and compares to experimental cross sections from threshold to the E thresholds; comparison of the cross sections for photoabsorption from two different initial states adds insight into the dynamics.The results presented in this paper show that the eigenchannel R-matrix technique achieves the accuracy needed for the theoretical description of the complex spectra of transition-metal elements. This method has already produced many spectroscopically useful results for complex spectra of the alkaline earths and for several atoms with open p subshells. However, the density (in energy) of thresholds for the transition-metal atoms near the ionization threshold is an order of magnitude larger than for any of the other elements that have been attempted; the spectra are extremely complicated by perturbers, even near the lowest thresholds...

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“…At high n, the 5sns 1 S 0 Rydberg series is only weakly perturbed [44,46], and the relevant dipole matrix elements can be calculated using a single active electron treatment. We calculated two independent sets of van der Waals C 6 coefficients using wavefunctions obtained from single-electron model-potential calculations [30] (circles in figure 5) and from twoelectron Hartree-Fock calculations using the effective Sr 2+ core potential of [47]. As shown in figure 4 both approaches yield nearly identical C 6 values, which over the depicted range are well described by the simple fit-formula For a given n the magnitude of the C 6 coefficients is comparable to that for Rb(ns) states.…”

Section: Rydberg-rydberg Atom Interactionsmentioning

confidence: 99%

Many-body physics with alkaline-earth Rydberg lattices

Mukherjee

Millen

Nath

et al. 2011

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

110

121

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Abstract. We explore the prospects for confining alkaline-earth Rydberg atoms in an optical lattice via optical dressing of the secondary core valence electron. Focussing on the particular case of strontium, we identify experimentally accessible magic wavelengths for simultaneous trapping of ground and Rydberg states. A detailed analysis of relevant loss mechanisms shows that the overall lifetime of such a system is limited only by the spontaneous decay of the Rydberg state, and is not significantly affected by photoionization or autoionization. The van der Waals C 6 coefficients for the Sr(5sns 1 S 0 ) Rydberg series are calculated, and we find that the interactions are attractive. Finally we show that the combination of magic-wavelength lattices and attractive interactions could be exploited to generate many-body Greenberger-HorneZeilinger (GHZ) states.

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Spin-orbit effects in the heavy alkaline-earth atoms

Cited by 133 publications

References 61 publications

Properties of the triplet metastable states of the alkaline-earth-metal atoms

Properties of the triplet metastable states of the alkaline-earth-metal atoms

Photoionization of the scandium atom. II. Classifications

Many-body physics with alkaline-earth Rydberg lattices

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