Tune-out and magic wavelengths of 
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 ions

Jiang, Jun; Ma, Yun; Wang, Xia; Dong, Chenzhong; Wu, Z. W.

doi:10.1103/physreva.103.032803

Cited by 4 publications

(6 citation statements)

References 79 publications

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“…We compared all these calculated matrix elements with our values in the table I. Our estimations have good agreement with the recent calculation based on relativistic configuration interaction plus core polarization (RCICP) method [54].…”

Section: Resultssupporting

confidence: 70%

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Two-photon polarizability of Ba$^+$ ion: Control of spin-mixing process in an ultracold $^{137}$Ba$^+$--$^{87}$Rb mixture

Das¹,

Bhowmik²,

Dutta³

et al. 2021

Preprint

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Ionic clocks exhibit one of the most promising candidates for the frequency standards. Recent investigations show the profound advantages of interrogating two laser lights with different frequencies in developing the frequency standards. Here, we present a scheme of a two-photon excitation process to calculate the dynamic polarizabilities of a few low-lying states of 137 Ba + by employing highly correlated relativistic many-body theory. We demonstrate the Stark shift cancellation for the clock states of 137 Ba + at the two-photon magic wavelengths, which would be an essential input to achieve better accuracy for the ionic clock experiments. We also calculate the magic wavelengths under the single-photon process to serve as the reference and for a comparative study. The calculated single-and two-photon magic wavelengths lie in the optical regime and are thus significant for future state-of-the-art experiments. Further, as an application, we investigate the impact of the two-photon polarizability on the spin-mixing process of an ultra-cold spin-1 mixture 137 Ba + − 87 Rb.We demonstrate the flexibility of the spin-exchange mechanism in the mixture in the presence of a tunable magnetic field and highlight the two-photon process-specific spin-oscillation protocol.

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Section: Resultssupporting

confidence: 70%

“…We display few optical resonant wavelengths in the table to discriminate the above fact. We compare our calculated magic wavelengths with the values of [54] and [55], and find excellent agreement between them.…”

Section: Resultsmentioning

confidence: 54%

Two-photon polarizability of Ba$^+$ ion: Control of spin-mixing process in an ultracold $^{137}$Ba$^+$--$^{87}$Rb mixture

Das¹,

Bhowmik²,

Dutta³

et al. 2021

Preprint

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“…The key strategy of the RCICP method is to partition a Be atom into a Be 2+ core plus two valence electrons [19,20]. The calculation is separated into three steps.…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…where the summation part represents single-electron Hamiltonian [19], α and β denote the Dirac matrices, p represents the momentum operator. The core operator V core (r) is expressed as…”

Section: Theoretical Methodsmentioning

confidence: 99%

“…In order to improve the measurement accuracy, Katori et al proposed the magic-wavelength trapping [5,6,17,18]. In the magic-wavelength trapping, the dynamic electric dipole (E1) polarizabilities are the same as each other for two given states [5,6,[17][18][19][20]. However, when the accuracy of the optical lattice clock is at the level of 10 −18 , the multipolar (electric quadrupole E2 and magnetic dipole M1) and nonlinear Stark shifts are non-negligible [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Be optical lattice clocks with the fractional Stark shift up to the level of 10⁻¹⁹

Wang²,

Wang³

et al. 2023

New J. Phys.

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The energy levels and electric dipole (E1) matrix elements of the ground state and low-lying excited states of Be atoms are calculated using the relativistic configuration interaction plus core polarization (RCICP) method. The static and dynamic E1, magnetic dipole (M1) and electric quadrupole (E2) polarizabilities as well as the hyperpolarizabilities of the 2s2 1S0 and 2s2p 3P0 states are determined. Two magic wavelengths, 300.03 and 252.28nm, of 2s2 1S0 → 2s2p 3P0 clock transition are found. Then, the multipolar and nonlinear Stark shifts of the clock transition at the magic wavelength are discussed in detail. We find that when the laser intensity I is in the range of 14.3 ∼ 15.9 kW/cm2 and the detuning δ (the frequency detuning of the lattice laser frequency relative to the magic frequency) is in the range of 40.7 ∼ 40.9MHz, the fractional Stark shifts of the clock transition are less than the level of 1.0 × 10−18. While, when I is in the range of 15.01 ∼ 15.46 kW/cm2 and δ is in the range of 40.73 ∼ 40.76 MHz, the fractional Stark shifts are lower than the level of 1.0 × 10−19. These will provide important support for developing ultra-high-precision Be optical clocks.

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Magnetic Sublevel Independent Magic and Tune-Out Wavelengths of the Alkaline-Earth Ions

Jyoti

Kaur

Arora

et al. 2022

Atoms

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Light shift in a state due to the applied laser in an atomic system vanishes at tune-out wavelengths (λTs). Similarly, differential light shift in a transition vanishes at the magic wavelengths (λmagics). In many of the earlier studies, values of the electric dipole (E1) matrix elements were inferred precisely by combining measurements and calculations of λmagic. Similarly, the λT values of an atomic state can be used to infer the E1 matrix element, as it involves dynamic electric dipole (α) values of only one state whereas the λmagic values require evaluation of α values for two states. However, both the λmagic and λT values depend on angular momenta and their magnetic components (M) of states. Here, we report the λmagic and λT values of many S1/2 and D3/2,5/2 states, and transitions among these states of the Mg+, Ca+, Sr+ and Ba+ ions that are independent of M values. It is possible to infer a large number of E1 matrix elements of the above ions accurately by measuring these values and combining with our calculations.

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Tune-out and magic wavelengths of Ba+ ions

Cited by 4 publications

References 79 publications

Two-photon polarizability of Ba$^+$ ion: Control of spin-mixing process in an ultracold $^{137}$Ba$^+$--$^{87}$Rb mixture

Two-photon polarizability of Ba$^+$ ion: Control of spin-mixing process in an ultracold $^{137}$Ba$^+$--$^{87}$Rb mixture

Be optical lattice clocks with the fractional Stark shift up to the level of 10⁻¹⁹

Magnetic Sublevel Independent Magic and Tune-Out Wavelengths of the Alkaline-Earth Ions

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Tune-out and magic wavelengths of Ba+ ions

Cited by 4 publications

References 79 publications

Two-photon polarizability of Ba$^+$ ion: Control of spin-mixing process in an ultracold $^{137}$Ba$^+$--$^{87}$Rb mixture

Two-photon polarizability of Ba$^+$ ion: Control of spin-mixing process in an ultracold $^{137}$Ba$^+$--$^{87}$Rb mixture

Be optical lattice clocks with the fractional Stark shift up to the level of 10−19

Magnetic Sublevel Independent Magic and Tune-Out Wavelengths of the Alkaline-Earth Ions

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Product

Resources

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Be optical lattice clocks with the fractional Stark shift up to the level of 10⁻¹⁹