Magic wavelengths in the alkaline-earth-metal ions

Kaur, Jasmeet; Singh, Sukhjit; Arora, Bindiya; Sahoo, B. K.

doi:10.1103/physreva.92.031402

Cited by 33 publications

(50 citation statements)

References 20 publications

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“…The reason is that the rate of change of 5s and 5p j (or 4d j ) polarizabilities is low near these magic wavelengths, namely, dα/dω is small. The magic wavelength calculated by Kaur et al [65] using the RCC all-order method lies within our uncertainties.…”

Section: F Uncertainties In the Magic Wavelength Positionssupporting

confidence: 81%

“…The magic wavelengths near 417 nm lie between the transition energies of the 5s → 5p j spin-orbit doublet. The present calculations of magic wavelengths agree excellently with the RCC all-order results of Kaur et al [65].…”

supporting

confidence: 90%

“…5s -4d 5 2 5s-4d 3 2 RCICP 28.11(212) 27.00(214) MBPT-SD [43] 30.2 28.9 RCC all-order [65] 28. 46 26.8 RCC [66] 25.4 26.9 Expt.…”

Section: Methodsmentioning

confidence: 99%

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Relativistic semiempirical-core-potential calculations ofSr+using Laguerre and Slater spinors

et al. 2016

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A relativistic description of the structure of heavy alkali-metal atoms and alkali-like ions using S-spinors and L-spinors is developed. The core wave function is defined by a Dirac-Fock calculation using an S-spinor basis. The S-spinor basis is then supplemented with a large set of L-spinors for calculation of the valence wave function in a frozen-core model. The numerical stability of the L-spinor approach is demonstrated by computing the energies and decay rates of several low-lying hydrogen eigenstates, along with the polarizabilities of a Z = 60 hydrogenic ion. The approach is then applied to calculate the dynamic polarizabilities of the 5s, 4d, and 5p states of Sr +. The magic wavelengths at which the Stark shifts between different pairs of transitions are 0 are computed. Determination of the magic wavelengths for the 5s → 4d 3

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Section: F Uncertainties In the Magic Wavelength Positionssupporting

confidence: 81%

supporting

confidence: 90%

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Relativistic semiempirical-core-potential calculations ofSr+using Laguerre and Slater spinors

et al. 2016

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“…Precise knowledge of quadrupole transition matrix elements is essential for characterizing relevant spectral lines. Since the existence of magic wavelengths for the 40 Ca + clock transition has been demonstrated both theoretically [11,12] and experimentally [13], all-optical trapped ion clocks are feasible to be realized in the foreseeable future. One important issue for building such kind of trap is to overcome large ac Stark shifts due to use of high optical power; thus it is necessary to take higher-order effects into account by knowing the corresponding high-order transition matrix elements [14].…”

mentioning

confidence: 99%

Precise determination of the quadrupole transition matrix element ofCa+40via branching-fraction and lifetime measurements

et al. 2017

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We report the first experimental determination of the 4s 2 S 1/2 ↔ 3d 2 D 5/2 quadrupole transition matrix element in 40 Ca + by measuring the branching ratio of the 3d 2 D 5/2 state decaying into the ground state 4s 2 S 1/2 and the lifetime of the 3d 2 D 5/2 state, using a technique of highly synchronized measurement sequence for laser control and highly efficient quantum state detection for quantum jumps. The measured branching ratio and improved lifetime are, respectively, 0.9992(80) and 1.1652(46) s, which yield the value of the quadrupole transition matrix element (in absolute value) 9.737(43) ea 2 0 with the uncertainty at the level of 0.44%. The measured quadrupole transition matrix element is in good agreement with the most precise many-body atomic structure calculations. Our method can be universally applied to measurements of transition matrix elements in single ions and atoms of similar structure. [11,12] and experimentally [13], all-optical trapped ion clocks are feasible to be realized in the foreseeable future. One important issue for building such kind of trap is to overcome large ac Stark shifts due to use of high optical power; thus it is necessary to take higher-order effects into account by knowing the corresponding high-order transition matrix elements [14]. In quantum information research, because of long coherence time of the ground and metastable states, selected quadrupole transitions for encoding a quantum bit of information are used to realize quantum logic techniques. In plasma physics, quadrupole transitions open an observational window into hot plasmas of low electron density [15]. In astrophysics, quadrupole transition lines provide information on structure and physical characteristics of interstellar clouds [16,17]. Moreover, electric quadrupole transitions can be used to study atomic parity-violation in heavy ions [18,19]. Finally, comparison between experimentally measured quadrupole transition matrix elements and their corresponding theoretical values can test sophisticated relativistic atomic many-body theories.In principle, dipole transition matrix elements in an atom or ion can be determined by measuring its ac Stark shifts when exposed to a light, using the concept of magic-zero (tune-out) wavelengths, such as the work on where g k = 6 and λ is the transition wavelength inÅ [1].Single 40 Ca + ion is first laser cooled and trapped in a miniature ring Paul trap. A high-efficiency quantum state detection method for fluorescence counting and a highly synchronized measurement sequence for laser conarXiv:1609.04177v1 [physics.atom-ph]

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“…[6], trapping atoms at λ magic s is the foremost process today in a number of applications such as constructing optical lattice clocks. Following this, a number of experimental and theoretical studies have been reported λ magic s in the neutral atoms [7][8][9][10][11][12][13][14], and recently in the singly charged alkaline earth ions [15,16]. In a remarkable work, Katori et.…”

mentioning

confidence: 99%

Magnetic-sublevel-independent magic wavelengths: Application to Rb and Cs atoms

2016

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A generic scheme to trap atoms at the magic wavelengths (λmagics) that are independent of vector and tensor components of the interactions of the atoms with the external electric field is presented. The λmagics for the laser cooling D2 lines in the Rb and Cs atoms are demonstrated and their corresponding polarizability values without vector and tensor contributions are given. Consequently, these λmagics are independent of magnetic sublevels and hyperfine levels of the atomic states involved in the transition, thus, can offer unique approaches to carry out many high precision measurements with minimal systematics. Inevitably, the proposed technique can also be used for electronic or hyperfine transitions in other atomic systems.

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Magic wavelengths in the alkaline-earth-metal ions

Cited by 33 publications

References 20 publications

Relativistic semiempirical-core-potential calculations ofSr+using Laguerre and Slater spinors

Relativistic semiempirical-core-potential calculations ofSr+using Laguerre and Slater spinors

Precise determination of the quadrupole transition matrix element ofCa+40via branching-fraction and lifetime measurements

Magnetic-sublevel-independent magic wavelengths: Application to Rb and Cs atoms

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