Abstract:The hyperfine structure constants and the electronic gj factor of the state 4f 11 6s 2 4111/2 belonging to the holmium ground multiplet have been measured using the atomic beam magnetic resonance technique combined with a state-selective laser-induced detection of the resonant atoms. By the same method the gj factor of the level 4f t~ 6s2419/2 was determined, while the hyperfine structures of this metastable state and of two high-lying even parity states have been investigated by high resolution laser spectros… Show more
“…[27]. This gives an energy of 24360.790(1) cm −1 , which is combined with precise measurements of the ground [28,29] and excited state [25] hyperfine splittings to yield an absolute frequency of the MOT laser given by 730.31682(3) THz. This value is used to calibrate the wavemeter that measure the frequency of the scanned 413 nm Rydberg laser, resulting in a total uncertainty of 200 MHz or 0.007 cm −1 in the absolute energy of the measured levels.…”
We report measurements of the absolute excitation frequencies of 165 Ho 4f 11 6sns and 4f 11 6snd odd-parity Rydberg series. The states are detected through depletion of a magneto-optical trap via a two-photon excitation scheme. Measurements of 162 Rydberg levels in the range n = 40 − 101 yield quantum defects well described by the Rydberg-Ritz formula. We observe a strong perturbation in the ns series around n = 51 due to an unidentified interloper at 48515.47(4) cm −1 . From the series convergence, we determine the first ionization potential EIP = 48565.939(4) cm −1 , which is three orders of magnitude more accurate than previous work. This work represents the first time such spectroscopy has been done in Holmium and is an important step towards using Ho atoms for collective encoding of a quantum register.
“…[27]. This gives an energy of 24360.790(1) cm −1 , which is combined with precise measurements of the ground [28,29] and excited state [25] hyperfine splittings to yield an absolute frequency of the MOT laser given by 730.31682(3) THz. This value is used to calibrate the wavemeter that measure the frequency of the scanned 413 nm Rydberg laser, resulting in a total uncertainty of 200 MHz or 0.007 cm −1 in the absolute energy of the measured levels.…”
We report measurements of the absolute excitation frequencies of 165 Ho 4f 11 6sns and 4f 11 6snd odd-parity Rydberg series. The states are detected through depletion of a magneto-optical trap via a two-photon excitation scheme. Measurements of 162 Rydberg levels in the range n = 40 − 101 yield quantum defects well described by the Rydberg-Ritz formula. We observe a strong perturbation in the ns series around n = 51 due to an unidentified interloper at 48515.47(4) cm −1 . From the series convergence, we determine the first ionization potential EIP = 48565.939(4) cm −1 , which is three orders of magnitude more accurate than previous work. This work represents the first time such spectroscopy has been done in Holmium and is an important step towards using Ho atoms for collective encoding of a quantum register.
“…The hyperfine constants of the ground state multiplets are known with high accuracy [29,30] leading to the splittings shown in Fig. 4.…”
Section: A Register Encoding In Hyperfine Ground States Of Homentioning
confidence: 99%
“…The qubit phase is sensitive to magnetic fields since the g F Landé factors are different for all F levels. The values indicated in the figure assume L − S coupling and no configuration mixing, which is an accurate description for the ground state multiplet [30]. A stable magnetic environment is therefore necessary to prevent qubit dephasing.…”
Section: A Register Encoding In Hyperfine Ground States Of Homentioning
confidence: 99%
“…Using σ + polarized light and including repumping frequencies to depopulate all hyperfine levels with F < 11 will result in initialization of all atoms into the reservoir state |s = |11, 11 . The Ho ground state has vanishing configurational mixing with other levels [30] so the limiting factor as regards the efficacy of state preparation will be due to mixing of the upper state of the transition used for pumping, as well as Raman transitions into lower hyperfine states. As mentioned above, one approach to maximizing the state purity is to shelve the |s state in an excited metastable level of the ground electronic configuration using transitions s 1 , s 2 in Fig.…”
Section: Initialization Single Qubit Operations and Measurementsmentioning
We discuss a method for scaling a neutral atom Rydberg gate quantum processor to a large number of qubits. Limits are derived showing that the number of qubits that can be directly connected by entangling gates with errors at the 10 −3 level using long range Rydberg interactions between sites in an optical lattice, without mechanical motion or swap chains, is about 500 in two dimensions and 7500 in three dimensions. A scaling factor of 60 at a smaller number of sites can be obtained using collective register encoding in the hyperfine ground states of the rare earth atom Holmium. We present a detailed analysis of operation of the 60 qubit register in Holmium. Combining a lattice of multi-qubit ensembles with collective encoding results in a feasible design for a 1000 qubit fully connected quantum processor.
“…Therefore, further rf measurements of the hfs in the configurations 5dS6s 2 and 5d96s of platinum are very desirable. Such ABMR investigations can be performed by applying a state-and isotope-selective laser detection system [15,16]. In Table 5 the experimental (r -3) values are compared with relativistic self-consistent-field calculations which have been performed by Biittgenbach [10] using the multi-configuration Dirac-Fock method (MCDF) [17] and by Olsson and Rosen [18] using the optimized Hartree-Fock-Slater (OHFS) method.…”
The magnetic dipole hyperfine interaction constants A of the atomic ground state 3D 3 and of the first excited state 3D 2 in ~95pt have been measured by atomic beam magnetic resonance. The electronic gj factors of these states were determined from the Zeeman splitting in ~94pt. Using intermediate coupling wave functions derived for the configurations (5 d + 6s) ~~ effective hyperfine radial integrals are evaluated.
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