Millimeter-wave spectroscopy and multichannel quantum-defect-theory analysis of high Rydberg states of xenon: The hyperfine structure of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Xe</mml:mi><mml:mprescripts /><mml:none /><mml:mrow><mml:mn>129</mml:mn></mml:mrow></mml:mmultiscripts><mml:msup><mml:mi /><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="

Schäfer, Martin; Raunhardt, Matthias; Merkt, Frédéric

doi:10.1103/physreva.81.032514

Cited by 23 publications

(51 citation statements)

References 85 publications

(86 reference statements)

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“…[35] and applied to the hyperfine states of odd isotopes of Sr [36] or the hyperfine states of the heavier noble gas atoms. [37][38][39] There are several different ways for coupling the angular momentum to obtain a frame transformation. The derivation in this section describes the method we used.…”

Section: B Frame Transformationmentioning

confidence: 99%

“…Section II contains the basic ideas for the frame transformations which form the foundation for the rest of the developments. The frame transformation for hyperfine split core states has been developed and has been applied several times in experiments [34][35][36][37][38][39]. The inclusion of the frame transformation is for completeness and to specify the notation used in the rest of this paper.…”

Section: Introductionmentioning

confidence: 99%

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Theory of long-range interactions for Rydberg states attached to hyperfine-split cores

2018

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The theory is developed for one and two atom interactions when the atom has a Rydberg electron attached to a hyperfine split core state. This situation is relevant for some of the rare earth and alkaline earth atoms that have been proposed for experiments on Rydberg-Rydberg interactions. For the rare earth atoms, the core electrons can have a very substantial total angular momentum, J, and a non-zero nuclear spin, I. In the alkaline earth atoms there is a single, s, core electron whose spin can couple to a non-zero nuclear spin for odd isotopes. The resulting hyperfine splitting of the core state can lead to substantial mixing between the Rydberg series attached to different thresholds. Compared to the unperturbed Rydberg series of the alkali atoms, the series perturbations and near degeneracies from the different parity states could lead to qualitatively different behavior for single atom Rydberg properties (polarizability, Zeeman mixing and splitting, etc) as well as Rydberg-Rydberg interactions (C5 and C6 matrices).

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Section: B Frame Transformationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theory of long-range interactions for Rydberg states attached to hyperfine-split cores

2018

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“…Refs. [236,237]) of the F + j − LS frame transformation matrixŪ Ū U because of the spinorbit interaction and the deviation of the electrostatic potential from a pure Coulomb…”

Section: Mqdt Analysismentioning

confidence: 99%

Photoionization dynamics of excited Ne, Ar, Kr and Xe atoms near threshold

Sukhorukov¹,

Petrov²,

Schäfer³

et al. 2012

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

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A review of experimental and theoretical studies of the threshold photoionization of the heavier rare-gas atoms is presented, with particular emphasis on the autoionization resonances in the spectral region between the lowest two ionization thresholds (mp 5 2 P 3/2 and mp 5 2 P 1/2 , with m = 2, 3, 4, and 5 for Ne, Ar, Kr, and Xe, respectively). Observed trends in the positions, widths, and shapes of the autoionization resonances in dependence of the atomic number, the principal quantum number n, the orbital angular momentum quantum number and further quantum numbers such as K, J and F specifying the fine-and hyperfine-structure levels, are summarized and discussed in the light of ab initio and multichannel quantum defect theory calculations. The dependence of the photoionization spectra on the initially prepared neutral state, e.g. the 1 S 0 ground state, the mp 5 (m + 1)s 3 P 2 and mp 5 (m + 1)s 3 P 0 metastable levels and other states prepared from the ground or metastable levels in single-and multiphoton processes, are also discussed, including results on the photoionization of aligned and oriented samples and on photoelectron angular distributions. The effects of various approximations in the theoretical treatment of photoionization in these systems are analysed. The very large and at first sight discouraging diversity of observed phenomena and the numerous anomalies in spectral structures associated with the threshold ionization of the rare-gas atoms can be described in terms of a limited set of interactions and dynamical processes. Examples are provided illustrating characteristic aspects of the photoionization, and sets of recommended parameters describing the energy-level structure and photoionization dynamics of the rare-gas atoms are presented which were extracted in a critical analysis of the very large body of experimental and theoretical data available on these systems in the literature.

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“…[18]. A range of high (energy) resolution ionization experiments incorporating the preparation of high-n Rydberg states have been performed to probe hyperfine splittings in Ryberg manifolds, including autoionizing regions, and in the cation [19,20]. Recently, photoion-photoelectron coincidence experiments provided isotopically-resolved (hence I-resolved) PADs from the ( 2 P • 3/2 )5d 2 [3/2] • 1 state, following VUV excitation at 10.4 eV (83876 cm −1 ) [21]; subsequent work included detailed theoretical analysis, and the first determination of the hyperfine couplings in this wavelength range [22].…”

Section: Introductionmentioning

confidence: 99%

Quantum-beat photoelectron-imaging spectroscopy of Xe in the VUV

et al. 2018

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Time-resolved pump-probe measurements of Xe, pumped at 133 nm and probed at 266 nm, are presented.The pump pulse prepared a long-lived hyperfine wavepacket, in the Xe.57 eV). The wavepacket was monitored via single-photon ionization, and photoelectron images measured. The images provide angle-and timeresolved data which, when obtained over a large time-window (900 ps), constitute a precision quantum beat spectroscopy measurement of the hyperfine state splittings. Additionally, analysis of the full photoelectron image stack provides a quantum beat imaging modality, in which the Fourier components of the photoelectron images correlated with specific beat components can be obtained. This may also permit the extraction of isotope-resolved photoelectron images in the frequency domain, in cases where nuclear spins (hence beat components) can be uniquely assigned to specific isotopes (as herein), and also provides phase information. The information content of both raw, and inverted, image stacks is investigated, suggesting the utility of the Fourier analysis methodology in cases where images cannot be inverted.

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Millimeter-wave spectroscopy and multichannel quantum-defect-theory analysis of high Rydberg states of xenon: The hyperfine structure ofXe129+and
Martin Schäfer
¹
,
Matthias Raunhardt
²
,
Frédéric Merkt
³

Cited by 23 publications

References 85 publications

Theory of long-range interactions for Rydberg states attached to hyperfine-split cores

Theory of long-range interactions for Rydberg states attached to hyperfine-split cores

Photoionization dynamics of excited Ne, Ar, Kr and Xe atoms near threshold

Quantum-beat photoelectron-imaging spectroscopy of Xe in the VUV

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Millimeter-wave spectroscopy and multichannel quantum-defect-theory analysis of high Rydberg states of xenon: The hyperfine structure ofXe129+andMartin Schäfer1, Matthias Raunhardt2, Frédéric Merkt3

Cited by 23 publications

References 85 publications

Theory of long-range interactions for Rydberg states attached to hyperfine-split cores

Theory of long-range interactions for Rydberg states attached to hyperfine-split cores

Photoionization dynamics of excited Ne, Ar, Kr and Xe atoms near threshold

Quantum-beat photoelectron-imaging spectroscopy of Xe in the VUV

Contact Info

Product

Resources

About

Millimeter-wave spectroscopy and multichannel quantum-defect-theory analysis of high Rydberg states of xenon: The hyperfine structure ofXe129+and
Martin Schäfer
¹
,
Matthias Raunhardt
²
,
Frédéric Merkt
³