Magic wavelengths, matrix elements, polarizabilities, and lifetimes of Cs

Abstract

Motivated by recent interest in their applications, we report a systematic study of Cs atomic properties calculated by a high-precision relativistic all-order method. Excitation energies, reduced matrix elements, transition rates, and lifetimes are determined for levels with principal quantum numbers n ≤ 12 and orbital angular momentum quantum numbers l ≤ 3. Recommended values and estimates of uncertainties are provided for a number of electric-dipole transitions and the electric dipole polarizabilities of the ns, np, and nd states. We also report a calculation of the electric quadrupole polarizability of the ground state. We display the dynamic polarizabilities of the 6s and 7p states for optical wavelengths between 1160 nm and 1800 nm and identify corresponding magic wavelengths for the 6s − 7p 1/2 , 6s − 7p 3/2 transitions. The values of relevant matrix elements needed for polarizability calculations at other wavelengths are provided. arXiv:1605.05210v1 [physics.atom-ph]

Realization of phase locking in good-bad-cavity active optical clock

“…In summary, we finally chose the 1470 nm as the clock transition laser, namely, the bad-cavity laser. As for the wavelength choice of good-cavity laser, we calculate that one of the magic wavelengths of the 7S 1/2 − 6P 3/2 1470 nm transition is 1030 nm [38], which is very close to the wavelength of the good-cavity laser, namely, 1064 nm. Thus we choose the Nd: YAG structure to generate the good-cavity signal, avoiding the influence of the light shift caused by the good-cavity laser to the 1470 nm clock transition laser.…”

Determination of the Scalar and Vector Polarizabilities of the Cesium 6sS21/2→Toh1, Damitz2, Tanner3 et al. 2019Phys. Rev. Lett.422180View full textAdd to dashboardCite

“…We use ∆α 6s7s [41] and high precision measurements of the ground state static polarizability α 6s [43,50] to calculate the static polarizability α 7s of the 7s state. We also use theoretical calculations of the ratio of 7s − 7p J matrix elements R 7s7p = | 7s 1/2 ||r||7p 3/2 / 7s 1/2 ||r||7p 1/2 | = 1.3892 (3) [33] and for the 7s − np matrix elements where n > 7 [54]. The results of our determination are 7s 1/2 ||r||7p 1/2 = 10.325 (5) a 0 and 7s 1/2 ||r||7p 3/2 = 14.344 (7) a 0 , an improvement in precision from 0.15% in [33] to 0.05% as presented here.…”

“…Theory values of E1 elements (8 ≤ n ≤ 12) are from Ref. [54] including the Supplemental Information. State energies are found in NIST tables [55].…”

Triply Magic Conditions for Microwave Transition of Optically Trapped Alkali-Metal Atoms

“…Γ are the 1-photon Raman scattering rate and 2-photon scattering rate, respectively. The wavelengths and transition matrices for the calculation are from [30] and [31]. The ac Stark energy shift of the ground state |g = |J g , F g , m g due to one-photon coupling to the excited states |i = |J i , F i , m i by a linear polarized light field E(t) = E 0 cos(ωt) can be calculated by perturbation theory to the first order, and the result is [38]…”

“…The reduced matrices elements marked by a) are experimental data summarized in [30]. The rest are theoretical results with b) from [41] and c) from [31]. reduced dipole matrix elements used for the calculation of the magic conditions are summarized in Tables S4 and S5.…”