Magic wavelengths in the alkaline-earth-metal ions
Abstract
We present magic wavelengths for the n S1 /2-n P1 /2 ,3 /2 , and n S1 /2-m D3 /2 ,5 /2 transitions in Mg+, Ca+, Sr+, and Ba+ alkaline-earth-metal ions, for the principal quantum numbers n and m for the ground and first excited D states, respectively. These wavelengths are presented for linearly polarized light by plotting the dynamic polarizabilities of the n S ,n P1 /2 ,3 /2 , and m D3 /2 ,5 /2 states of the considered ions. Required dynamic polarizabilities are evaluated by employing a relativistic all-order perturbative method and their accuracies are ratified by comparing their static values with available high-precision experimental or other theoretical results. Moreover, some of the magic wavelengths identified by us in Ca+ concur with the recent measurements reported by Liu et al. [Phys. Rev. Lett. 114, 223001 (2015), 10.1103/PhysRevLett.114.223001]. Knowledge of these magic wavelengths is propitious to carry out many proposed high-precision measurements trapping the above ions in electric fields with the corresponding frequencies.
- Publication:
-
Physical Review A
- Pub Date:
- September 2015
- DOI:
- 10.1103/PhysRevA.92.031402
- arXiv:
- arXiv:1508.00653
- Bibcode:
- 2015PhRvA..92c1402K
- Keywords:
-
- 32.60.+i;
- 32.70.Cs;
- 37.10.Jk;
- 32.10.Dk;
- Zeeman and Stark effects;
- Oscillator strengths lifetimes transition moments;
- Atoms in optical lattices;
- Electric and magnetic moments polarizability;
- Physics - Atomic Physics
- E-Print:
- 5 pages, four tables, four figures