Combining experiments and relativistic theory for establishing accurate radiative quantities in atoms: the lifetime of the ${}^2$P${}_{3/2}$ state in ${}^{40}$Ca${}^{+}$

Abstract

We report a precise determination of the lifetime of the (4p)${}^2$P${}_{3/2}$ state of ${}^{40}$Ca${}^{+}$, ${\tau }_{{\text{P}}_{3/2}}=6.639(42)$ ns, using a combination of measurements of the induced light shift and scattering rate on a single trapped ion. Good agreement with the result of a recent high-level theoretical calculation, $6.69(6)$ ns [Safronova et al., PRA 83, 012503 (2011)], but a 6-$\sigma$ discrepancy with the most precise previous experimental value, $6.924(19)$ ns [Jin et al., PRL 70, 3213 (1993)] is found. To corroborate the consistency and accuracy of the new measurements, relativistically corrected ratios of reduced-dipole-matrix elements are used to directly compare our result with a recent result for the P${}_{1/2}$ state, yielding a good agreement. The application of the present method to precise determinations of radiative quantities of molecular systems is discussed.

References in corpus (23)

• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• Single-Ion Atomic Clock with $3\times 10^{-18}$ Systematic Uncertainty
• Experimental Comparison of Two Quantum Computing Architectures
• Realization of a scalable Shor algorithm
• Approximations for radiative cooling and heating in the solar chromosphere
• Preparation and coherent manipulation of pure quantum states of a single molecular ion
• Non-destructive state detection for quantum logic spectroscopy of molecular ions
• Hyperfine Coherence in the Presence of Spontaneous Photon Scattering
• Precision calculation of blackbody radiation shifts for optical frequency metrology
• Blackbody radiation shift, multipole polarizabilities, oscillator strengths, lifetimes, hyperfine constants, and excitation energies in Ca+
• Parity and Time-Reversal Violation in Atomic Systems
• Controlling systematic frequency uncertainties at the $10^{-19}$ level in linear Coulomb crystals
• Precision measurement of the branching fractions of the 4P3/2 decay of Ca II
• Precision Measurement Method for Branching Fractions of Excited P1/2 States Applied to 40Ca+
• Measurement of dipole matrix elements with a single trapped ion
• Relativistic coupled-cluster studies of ionization potentials, lifetimes and polarizabilities in singly ionized calcium
• Magic Wavelengths for Terahertz Clock Transitions
• Trapped-Ion State Detection through Coherent Motion
• Direct observation of atom-ion non-equilibrium sympathetic cooling
• Precision Measurement of the Quadrupole Transition Matrix Element in a Single Trapped ${}^{40}$Ca${}^{+}$
• State-selective coherent motional excitation as a new approach for the manipulation, spectroscopy and state-to-state chemistry of single molecular ions
• Dynamic polarizability measurements in ${}^{176}$Lu${}^{+}$
• Single-shot energy measurement of a single atom and the direct reconstruction of its energy distribution

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• Atomic Transition Probabilities of Neutral Calcium