Measurements of the branching ratios for 
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 decays in 
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Arnold, K. J.; Chanu, Sapam Ranjita; Kaewuam, R.; Tan, Ting Rei; Yeo, Leonard L.L.; Zhang, Zhiqiang; Safronova, M. S.; Barrett, M. D.

doi:10.1103/physreva.100.032503

Cited by 23 publications

(31 citation statements)

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“…The value of 459.1614(28) THz is in excellent agreement with theory and is a crucial determination for realizing an accurate representation of ∆α 0 (ω) over a large wavelength range as proposed in [15]. Given the inconsistency of estimated values for 6P 3/2 r 5D 5/2 , it is desirable to remeasure the P 3/2 branching ratios as noted in [15,18] and plans for this are already in progress. With the discrepancy resolved, ∆α 0 (ω) will be determined with inaccuracies below 0.5% for wavelengths 700 nm.…”

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confidence: 63%

Magic wavelength of the Ba+138 6s S1/

et al. 2020

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The zero crossing of the dynamic differential scalar polarizability of the S 1/2 −D 5/2 clock transition in 138 Ba + has been determined to be 459.1614(28) THz. Together with previously determined matrix elements and branching ratios, this tightly constrains the dynamic differential scalar polarizability of the clock transition over a large wavelength range ( 700 nm). In particular it allows an estimate of the blackbody radiation shift of the clock transition at room temperature.PACS numbers: 06.30.Ft, 06.20.fb Singly-ionized barium has been well studied over the years with a wide range of precision measurements [1][2][3][4][5][6][7][8] that have provided valuable benchmark comparisons for theory [9][10][11][12][13][14]. It was recently proposed that some of these measurements, specifically high accuracy measurements of transition matrix elements and branching ratios, could be used to construct an accurate representation of the dynamic differential scalar polarizability, ∆α 0 (ω) of the S 1/2 −D 5/2 clock transition over a large wavelength range [15]. Crucial to that proposal was a determination of a zero crossing ∆α 0 (ω 0 ) = 0 near 653 nm, which bounds significant contributions to ∆α 0 (ω) from the ultraviolet (uv) spectrum. Here we determine ω 0 with an inaccuracy of a few GHz.To find ω 0 , a linearly polarized laser beam near 653 nm is focussed onto the ion to induce an ac Stark shift of the clock transition and the shift measured as a function of the laser frequency ω. The ac Stark shift, δ s (M J ), induced by the 653-nm laser is given bywhere M J denotes the applicable eigenstate of D 5/2 , α 2 (ω) is the dynamic tensor polarizability of D 5/2 , and θ is angle between the 653-nm laser polarization and the quantization axis. The tensor component can be eliminated by determining the average ac Stark shiftHence, with the laser intensity fixed, δ 0 (ω) is directly proportional to ∆α 0 (ω), which is approximately linear * phybmd@nus.edu.sg in a neighbourhood of ω 0 . Consequently, ω 0 can be determined from a linear fit to measurements of δ 0 (ω) as a function of ω with an accuracy limited by the projection noise of the measurements, and a small nonlinearity in ∆α 0 (ω), which can be estimated from theory. Although the laser power is actively stabilized outside the experiment chamber, etaloning effects and uncalibrated frequency response of the detector can give rise to a frequency dependence of the resulting laser intensity at the ion. In addition, pointing stability of the laser can also degrade the accuracy of the ac Stark shift measured at a single frequency. To compensate these effects, one can make use of the weighted average δ 2 (ω) = 25 42 δ s (5/2) − 1 5 δ s (3/2) − 4 5 δ s (1/2)which is a measure of the tensor polarizability. The ratio δ 0 (ω)/δ 2 (ω) is then independent of slow variations in the intensity but has the same zero crossing. In addition, setting θ ≈ π/2 minimizes the influence of magnetic field pointing stability, which would compromise the stability of δ 2 (ω). Measurements are carr...

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confidence: 63%

Magic wavelength of the Ba+138 6s S1/

et al. 2020

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“…Transition dipole matrix elements * s.l.cornish@durham.ac.uk are fundamental properties of atoms as well as being crucial parameters for determining, for example, the blackbody radiation shift of atoms which is often a limiting systematic uncertainty in atomic clocks [27]. A number of discrepancies between experimental results and between theory and experiment have been pointed out in the literature [28][29][30][31] recently, giving particular importance to further benchmark tests.…”

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confidence: 99%

“…Experimental determination of this ratio is also of particular interest due to discrepancy between theoretical and experimental values in Ba + discussed in Refs. [29,30]. We carry out a benchmark comparison with theoretical calculations of the Cs ratio, testing the methodology for determining theory uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Measurement of the tune-out wavelength for Cs133 at 880 nm

et al. 2021

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We perform a measurement of the tune-out wavelength, λ 0 , between the D 1 , 6 2 S 1/2 → 6 2 P 1/2 , and D 2 , 6 2 S 1/2 → 6 2 P 3/2 , transitions for 133 Cs in the ground hyperfine state (F = 3, m F = +3). At λ 0 , the frequencydependent scalar polarizability is zero leading to a zero scalar ac Stark shift. We measure the polarizability as a function of wavelength using Kapitza-Dirac scattering of a 133 Cs Bose-Einstein condensate in a one-dimensional optical lattice, and determine the tune-out wavelength to be λ 0 = 880.21790( 40) stat (8) sys nm. From this measurement we determine the ratio of reduced matrix elements to be 1.9808(2). This represents an improvement of a factor of 10 over previous results derived from excited-state lifetime measurements. We use the present measurement as a benchmark test of high-precision theory.

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“…* s.l.cornish@durham.ac.uk Transition dipole matrix elements are fundamental properties of atoms as well as being crucial parameters for determining, for example, the blackbody radiation shift of atoms which is often a limiting systematic uncertainty in atomic clocks [27]. A number of discrepancies between experimental results and between theory and experiment have been pointed out in the literature [28][29][30][31] recently, giving particular importance to further benchmark tests.…”

Section: Introductionmentioning

confidence: 99%

Measurement of the tune-out wavelength for $^{133}$Cs at $880$ nm

Ratkata,

Gregory,

Innes

et al. 2021

Preprint

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We perform a measurement of the tune-out wavelength, λ0, between the D1, 6 2 S 1/2 → 6 2 P 1/2 , and D2, 6 2 S 1/2 → 6 2 P 3/2 , transitions for 133 Cs in the ground hyperfine state (F = 3, mF = +3). At λ0, the frequency-dependent scalar polarizability is zero leading to a zero scalar ac Stark shift. We measure the polarizability as a function of wavelength using Kapitza-Dirac scattering of a 133 Cs Bose-Einstein condensate in a one-dimensional optical lattice, and determine the tuneout wavelength to be λ0 = 880.21790( 40)stat( 8)sys nm. From this measurement we determine the ratio of reduced matrix elements to be 9808(2). This represents an improvement of a factor of 10 over previous results derived from excited-state lifetime measurements. We use the present measurement as a benchmark test of high-precision theory.

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Measurements of the branching ratios for 6P1/2 decays in Ba+138

Cited by 23 publications

References 28 publications

Magic wavelength of the Ba+138 6s S1/

Magic wavelength of the Ba+138 6s S1/

Measurement of the tune-out wavelength for Cs133 at 880 nm

Measurement of the tune-out wavelength for $^{133}$Cs at $880$ nm

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