Transition frequencies between low-lying energy levels in a single trapped 138 Ba + ion have been measured with laser spectroscopy referenced to an optical frequency comb. By extracting the frequencies of one-photon and two-photon components of the line shape using an eight-level optical Bloch model, we achieved 0.1 MHz accuracy for the 5d 2 D 3/2 -6p 2 P 1/2 and 6s 2 S 1/2 -5d 2 D 3/2 transition frequencies, and 0.2 MHz for the 6s 2 S 1/2 -6p 2 P 1/2 transition frequency.Trapped single ions can be exploited to investigate the interaction between light and matter, and to construct optical clocks [1]. For these applications based on high precision spectroscopy a good understanding of the optical line shapes involved is indispensable. We have employed an optical frequency comb [2] to measure transition frequencies in Ba + and a model based on optical Bloch equations to extract atomic parameters from fluorescence spectra. These are essential ingredients for high precision experiments, in particular for atomic parity violation measurements in single Ba + [3,4] and Ra + ions [5,6] in the search for new physics [7]. In this work the frequencies of transitions between three of the lowest fine structure levels in the 138 Ba + ion are addressed. These levels form a Λ-configuration as shown in Fig. 1. The level 6p 2 P 1/2 decays to the levels 6s 2 S 1/2 and 5d 2 D 3/2 with a branching ratio of about 3:1 [8]. We have measured the transition frequencies in a single 138 Ba + ion by driving the transitions 6s 2 S 1/2 -6p 2 P 1/2 and 5d 2 D 3/2 -6p 2 P 1/2 , employing an optical frequency comb as frequency reference. The dynamics of the population of the 2 P 1/2 level can be described by optical Bloch equations [9][10][11]. Coherent coupling between the 2 S 1/2 and 2 D 3/2 levels is observed when the two laser fields are detuned by the same amount from the respective atomic resonances. In this condition a two-photon process causes coherent population trapping, reducing the population of the 2 P 1/2 level [12]. For the measurements reported here a single Ba + ion is confined in a hyperbolic Paul trap (see Fig. 2). The trap is operated at frequency ω rf /2π = 5.44 MHz with a peak-to-peak rf voltage of typically V rf = 600 V. Additional electrodes provide a dc potential to compensate the effect of mechanical imperfections and stray fields, minimizing the micromotion of the ion in the trap. The trap is loaded by photoionization of 138 Ba atoms with laser light at wavelength 413.6 nm. The trap is mounted in a UHV chamber with residual gas pressure below 10 −10 mbar. Doppler cooling and detection of the Ba + ions is achieved with laser light at wavelengths λ 1 and λ 2 (see Fig 1). Laser light to drive the 6s 2 S 1/2 -6p 2 P 1/2 tran- * e.a.dijck@rug.nl † Present address: Department of Physics, Columbia University, New York, NY 10027
FIG. 1. Low-lying energy levels of the Ba+ ion. The wavelengths of the investigated transitions are given.
FIG. 2. Schematic diagram of the hyperbolic Paul trap used for trapping Ba+ ions, consisting of ...