Precision Measurement Method for Branching Fractions of ExcitedP1/2States Applied toCa+40

Abstract

We present a method for measuring branching fractions for the decay of J = 1/2 atomic energy levels to lower-lying states based on time-resolved recording of the atom's fluorescence during a series of population transfers. We apply this method to measure the branching fractions for the decay of the 4 2 P 1/2 state of 40 Ca + to the 4 2 S 1/2 and 3 2 D 3/2 states to be 0.93565(7) and 0.06435(7), respectively. The measurement scheme requires that at least one of the lower-lying states be longlived. The method is insensitive to fluctuations in laser light intensity and magnetic field and is readily applicable to various atomic species due to its simplicity. Our result distinguishes well among existing state-of-the-art theoretical models of Ca + .

Precise determination of the quadrupole transition matrix element of Ca+40 via branching-fraction and lifetime measurements

“…A trapped 40 Ca + ion has also been used for precision measurements to test atomic many-body theories [5,6,7]. Such measurements include lifetimes of some low-lying states in 40 Ca + [5,6], branching ratios [8], and dipole transition matrix elements [9]. There are similar developments for 88 Sr + [10].…”

Precision measurement of the branching fractions of the5pP1/22state inSrLikforman1, Tugayé2, Guibal3 et al. 2016Phys. Rev. A17180View full textAdd to dashboardCite

“…Ramm and co-workers in order to measure the branching fractions of the 4s 2 S 1/2 state in 40 Ca + [11]. The same principle has been used more recently for the measurement of branching fractions of the 6s 2 S 1/2 state in 138 Ba + [15].…”

“…Rabi frequencies drifts) [11]. Repeated counts of the number of scattered photons during the A typical chronogram used in the experiment is represented in Figure 2.…”

“…By restricting ourselves to the case of heavier alkali-earth (i.e. species with D metastable states), these techniques have been recently applied to obtain precision measurements of spectroscopical quantities on laser-cooled 40 Ca + ions [9][10][11][12], 138 Ba + ions [13][14][15], and 88 Sr + ions [16][17][18][19]. In this paper we present the precision measurement of the branching fractions for the decay of the 5p 2 P 1/2 state of 88 Sr + .…”

Parameter estimation in atomic spectroscopy using exceptional points

“…Again, there are stimulated transitions between these states, but the excited states decay also to 3 2 D 3/2 states (≈ 6.5% of the decay rate) and to the state 4 2 S 1/2 , m J = 1/2 (50% of the remaining decay rate). The population on these states does not revert to the TLS [27].…”