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arXiv:1809.06897 · Physical Review A

Many-body calculations and hyperfine-interaction effect on dynamic polarizabilities at the low-lying energy levels of Y2+

Arghya Das, Anal Bhowmik, Narendra Nath Dutta, Sonjoy Majumder

Published Jul 2, 2020• 5 citations
arXivHTMLPDF

Abstract

The present paper determines the precise values of magic wavelengths corresponding to the clock transitions ${5}^{2}S\text{--}{4}^{2}D$ of the ${\mathrm{Y}}^{2+}$ ion at the levels of both fine and hyperfine structures due to the external light beams having linear as well as circular polarization. To calculate the dynamic polarizabilities of the associated states of the transitions, we employ the sum-over-states technique, where the dominating and correlation sensitive part of the sum is evaluated using a highly correlated relativistic coupled-cluster theory. The estimated magic wavelengths of the light beams have substantial importance to cool and trap the ion using a blue-detuned trapping scheme. We also present the tune-out wavelengths, which are useful in state-insensitive trapping and cooling. The vector component of a total polarizability, which is induced by a circularly polarized light only, can provide additional magic wavelengths. Considerable effects of hyperfine interaction on the values of polarizabilities and number of magic wavelengths divulge the importance of precise estimations of hyperfine-structure splitting.

DOI
10.1103/physreva.102.012801

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Abstract In present work, we have investigated the roles of dynamic quadrupole polarizabilities and the effect of electric field gradient in the accurate determination of magic wavelengths of the clock transitions for Ca + , Sr + and Ba + ions for linearly polarized light. We have employed relativistic all-order method for the evaluation of matrix elements for accurate determination of polarizability. The effect of gradient of electric field on magic wavelengths is analyzed with reference to small and large values of applied electric field-gradients in context to the experiments. Additional magic wavelengths have been revealed when the ratio of the electric field-gradient to electric field strength ( η = ‖ ( ∇ ε ∗ ⊗ ∇ ε ) ( k ) ‖ ‖ ( ε ∗ ⊗ ε ) ( k ) ‖ ) exceeds 0.1 a.u.. It is also observed that the characteristics of the trap can be switched with alteration in η . We have also estimated additional parameters such as trap depths, photon scattering rates and sensitivity to laser linewidths for these newly emerged magic wavelengths. Therefore, we believe that it is crucial to consider the spatial variation of any electric field while determining magic wavelengths for better understanding and implementation of laser trapping techniques.
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