Determination of the ground-state hyperfine splitting of trappedCd+113ions

Ab initiorelativistic many-body calculation of hyperfine splittings ofC113d+

“…Trapped and laser cooled ions are excellent candidates for many high precision measurements [2,3]. Due to the decoupling of the internal states caused by the perturbations arising from the collisions and Doppler shifts, trapped and laser-cooled ions have been regarded as nearly isolated quantum systems [4]. Therefore, precise measurement of transition frequencies of several species of trapped ions have been performed for the purpose of developing the better frequency standard in microwave and optical frequency regions [4,5].…”

“…Due to the decoupling of the internal states caused by the perturbations arising from the collisions and Doppler shifts, trapped and laser-cooled ions have been regarded as nearly isolated quantum systems [4]. Therefore, precise measurement of transition frequencies of several species of trapped ions have been performed for the purpose of developing the better frequency standard in microwave and optical frequency regions [4,5]. Singly ionized cadmium (Cd + ) has a potential for the applications in quantum information processing where the microwave transition between the hyperfine states of the ground state is used for both a re-pumping process and manipulation of quantum states of trapped ions [4].…”

“…Therefore, precise measurement of transition frequencies of several species of trapped ions have been performed for the purpose of developing the better frequency standard in microwave and optical frequency regions [4,5]. Singly ionized cadmium (Cd + ) has a potential for the applications in quantum information processing where the microwave transition between the hyperfine states of the ground state is used for both a re-pumping process and manipulation of quantum states of trapped ions [4]. Recently, 113 Cd + has been proposed for the design of a space qualified atomic clock [6].…”

“…Recently, 113 Cd + has been proposed for the design of a space qualified atomic clock [6]. In this respect, a series of measurements for the ground state hyperfine splitting of 113 Cd + have been performed [4,5,6]. In recent experiments, the control of quantum states of 113 Cd + with high degree has become possible [7] because it has a simple energy-level structure and an accessible wavelengths for excitations.…”

“…In recent experiments, the control of quantum states of 113 Cd + with high degree has become possible [7] because it has a simple energy-level structure and an accessible wavelengths for excitations. This can also be regarded as a step towards the development of a new frequency standard in the microwave regime [4]. In this work, we have used the coupled-cluster theory with single, double and partial triple excitations (CCSD(T)) in the relativistic frame work to calculate the hyperfine splitting of ground state and few low-lying excited states of 113 Cd + .…”