Relativistic many-body calculations of electric-dipole matrix elements, lifetimes, and polarizabilities in rubidium

Abstract

Electric-dipole matrix elements for ns − n ′ p, nd − n ′ p, and 6d − 4f transitions in Rb are calculated using a relativistic all-order method. A third-order calculation is also carried out for these matrix elements to evaluate the importance of the high-order many-body perturbation theory contributions. The all-order matrix elements are used to evaluate lifetimes of ns and np levels with n = 6, 7, 8 and nd levels with n = 4, 5, 6 for comparison with experiment and to provide benchmark values for these lifetimes. The dynamic polarizabilities are calculated for ns states of rubidium. The resulting lifetime and polarizability values are compared with available theory and experiment.

All-Order Methods for Relativistic Atomic Structure Calculations

“…The problem described above is not limited to hyperfine constants. The electric-dipole matrix elements for np − nd transitions were also reported [54] to have extremely large correlation corrections. In these cases, no experimental data are available for comparison.…”

“…The ground state static and frequency-dependent polarizabilities of the alkali-metal atoms were calculated in Refs. [26,54,90,93]. All-order calculations of excited state np 1/2 and np 3/2 polarizabilities of alkalimetal atoms are being prepared for publication [94].…”

Control of rubidium low-lying Rydberg states with trichromatic femtosecond π pulses for ultrafast quantum information processing

“…The results in Fig. 3 suggest to consider a value of the dipole moment larger than approximately µ 34 = 0.5 × 10 −29 Cm, which corresponds to the (n 12)P 3/2 low-lying region of the Rydberg states in Rb [41,42]. To be selective in the excitation process, we further need a spectral bandwidth of the pulses sufficiently narrow compared to the separations between the levels in the region that we are considering, which are 702 cm −1 for 9P 3/2 -10P 3/2 , 460 cm −1 for 10P 3/2 -11P 3/2 , and about 300 cm −1 for 11P 3/2 -12P 3/2 .…”

“…The value of µ 34 sets the quantum number n of level 4 and it is varied in our study in the range 0.25 × 10 −29 < µ 34 < 1.25 × 10 −29 Cm. The precise values for the dipole matrix coefficients have been taken from the data in [41,42], from which we also estimate µ 14 = 0.02 × 10 −29 Cm for the allowed 5S 1/2 →nP 3/2 transition, considering n ∼ 11.…”

“…4 show the evolution of the populations in the case of illuminating the system with a single 75 fs π-pulse resonant with the UV 1-4 transition (5S 1/2 →11P 3/2 ). Considering the dipole coupling coefficient µ 14 =0.02×10 −29 Cm [41,42], the peak intensity of the π-pulse results in 2.85×10 13 W/cm 2 . In a two-level system (i.e.…”