Dynamic polarizabilities for the low-lying states of Ca<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mo>+</mml:mo></mml:msup></mml:math>

Youqi, Tang; Qiao, Huijie; Shi, Ting-Yun; Mitroy, Jim

doi:10.1103/physreva.87.042517

Cited by 47 publications

(72 citation statements)

References 84 publications

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“…The rest of plots show expected behavior of the dynamic polarizability. Similar features have been reported for Mg-like 45 and Na-like ions, 46 Sr and Rb atoms, 39 Ca + ion, 47 and neutral hydrogen atoms. 48 For ω → 0, our results are similar to those plotted in Fig.…”

supporting

confidence: 85%

Static and dynamic polarizability for C2+ in Rydberg states

Stǎncǎlie

2015

AIP Advances

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This work presents results from a non-perturbative calculation of dynamic polarizability of C III ions in 1s 2 2sns ( 1 S e ) Rydberg states. We employ a two-state model for dressed atomic states to investigate the effect of the frequency-dependent polarizability of optically dressed 1s 2 2sns( 1 S e ) states (n = 5 − 12) on transitions to nearby states (1s 2 2pns( 1 P 1 o )). Our model calculation results indicate that the resonance structure of the polarizabilities is entirely captured by the transition terms whereas the free electron polarizability only provides a smooth background. The resonance structure is evident in the plots and the widths increase with increasing principal quantum number. This work refers to highly excited 1s 2 2sns ( 1 S) Rydberg states, embedded in the electric dipole field of the 2s -2p core transition in Li-like C 3+ ion. The contributions of the individual transitions to the static polarizabilities of these Rydberg states are obtained from the use of the sum-over-state method. To this aim, both the C 2+ ground state and the C 3+ target state energies have been carefully calculated based on the configuration interactions method implemented in the General-purpose Relativistic Atomic Structure Package. Agreement is reasonably good with existing data wherever available. These results are believed to be the first such values for this system and will be important for ionic spectroscopy and plasma diagnostics. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.

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confidence: 85%

Static and dynamic polarizability for C2+ in Rydberg states

Stǎncǎlie

2015

AIP Advances

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“…In the experiment, the power of the 397-nm laser is very low (~15 /tW). Using data on the dynamic polarizabilities of the 3d2D5/2 and As2S\/2 states of 4HCa+ [34], one can find that the effect of the 397-nm laser is negligible. The 729-nm laser is switched on and off by two acousto-optic modulators in series simultaneously in order to achieve maximum isolation and it is blocked during the waiting period.…”

Section: Evaluation Of Shifts and Uncertaintiesmentioning

confidence: 96%

Combined experimental and theoretical probe of the lifetime of the3d2D5/2state in40
Guan
¹
,
Shao
²
,
Yuan
³

et al. 2015
Phys. Rev. A
16
6
11
0
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In light of the diverse range of reported values for the lifetimes of metastable states of 40Ca+, we have carried out afresh both measurements and theoretical investigation to confirm the lifetime of its 3d 2D5/2 state (T3rf5/2). A high-efficiency quantum state detection method by monitoring the quantum jumps of a laser-cooled single Ca+ ion in a miniature ring Paul trap was employed in the measurement. Also, sophisticated calculations were performed considering higher order nonlinear terms in the relativistic coupled-cluster (RCC) method with all possible single and double excitations, but accounting only for the important triple excitations from both the core and the valence orbitals. Systematic factors affecting measurement, such as collision with background gases, heating effects, the power of the 866-nm laser, and state detection errors were carefully analyzed. Our observational and theoretical values for r}d5/2 are 1174(10) ms and 1172 (3) ms, respectively, which agree well with the experimental results reported by P. A. Barton et at. [Phys. Rev. A 62, 032503 (2000)] and A. Kreuter etal. [Phys. Rev. A 7 1 ,032504 (2005)]. The present theoretical analysis demonstrates that the contributions from the core triples and Breit interaction are notable, as they improve the theoretical results obtained in the previous RCC calculations [B. K. Sahoo, Phys. Rev. A 74, 062504 (2006)].

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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].…”

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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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Dynamic polarizabilities for the low-lying states of Ca+

Cited by 47 publications

References 84 publications

Static and dynamic polarizability for C2+ in Rydberg states

Static and dynamic polarizability for C2+ in Rydberg states

Combined experimental and theoretical probe of the lifetime of the3d2D5/2state in40
Guan
¹
,
Shao
²
,
Yuan
³

et al. 2015
Phys. Rev. A
16
6
11
0
View full text Add to dashboard Cite

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

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Dynamic polarizabilities for the low-lying states of Ca+

Cited by 47 publications

References 84 publications

Static and dynamic polarizability for C2+ in Rydberg states

Static and dynamic polarizability for C2+ in Rydberg states

Combined experimental and theoretical probe of the lifetime of the3d2D5/2state in40Guan1, Shao2, Yuan3 et al. 2015Phys. Rev. A166110View full textAdd to dashboardCite

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

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About

Combined experimental and theoretical probe of the lifetime of the3d2D5/2state in40
Guan
¹
,
Shao
²
,
Yuan
³

et al. 2015
Phys. Rev. A
16
6
11
0
View full text Add to dashboard Cite