Dynamic polarizabilities for the low lying states of Ca+

Abstract

The dynamic polarizabilities of the 4s, 3d and 4p states of Ca${}^{+}$, are calculated using a relativistic structure model. The wavelengths at which the Stark shifts between different pairs of transitions are zero are computed. Experimental determination of the magic wavelengths can be used to estimate the ratio of the $f_{3d_J\to 4p_{J^{\prime }}}$ and $f_{4s_{1/2}\to 4p_{J^{\prime }}}$ oscillator strengths. This could prove valuable in developing better atomic structure models and in particular lead to improved values of the polarizabilities needed in the evaluation of the blackbody radiation shift of the Ca${}^{+}$ ion.

arXiv comment12 pages, 5 figures (accepted)

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Cited by in corpus (14)

• Measurement of magic wavelengths for the 40Ca+ clock transition
• Magic wavelengths in the alkaline earth ions
• Radiative Transition Properties of Singly Charged Magnesium, Calcium, Strontium and Barium Ions
• Annexing magic and tune-out wavelengths to the clock transitions of the alkaline-earth metal ions
• Precision Measurement of the Quadrupole Transition Matrix Element in a Single Trapped ${}^{40}$Ca${}^{+}$
• Magnetic sublevel independent magic wavelengths: Application in the Rb and Cs atoms
• Relativistic coupled-cluster theory analysis of unusually large correlation effects in the determination of $g_j$ factors in Ca${}^{+}$
• Angle-dependent magic wavelengths for the $4s_{1/2}\to 3d_{5/2,3/2}$ transitions of Ca${}^{+}$ ions
• Relativistic semiempirical-core-potential calculations in Ca${}^{+}$, Sr${}^{+}$, and Ba${}^{+}$ ions on Lagrange meshes
• Magic intensity trapping of the Mg lattice clock with light shift suppressed below $10^{-19}$
• Dynamic polarizabilities and triple magic trapping conditions for $5s^2{}^1{S}_0\to 5s5p{}^3{P}_{0,2}$ transitions of Cd atoms
• Magic wavelengths of Ca${}^{+}$ ion for linearly and circularly polarized light
• Relativistic hyperpolarizabilities for atomic H, Li, and Be${}^{+}$ systems
• Nonrelativistic quantum electrodynamic approach to polarizabilities of light atoms