Measurement of dipole matrix elements with a single trapped ion

Abstract

We demonstrate a new method for the direct measurement of atomic dipole transition matrix elements based on techniques developed for quantum information purposes. The scheme consists of measuring dispersive and absorptive off-resonant light-ion interactions and is applicable to many atomic species. We determine the dipole matrix element pertaining to the Ca II H line, i.e. the 4${}^2$S${}_{1/2}\leftrightarrow$ 4${}^2$P${}_{1/2}$ transition of ${}^{40}$Ca${}^{+}$, for which we find the value 2.8928(43) ea${}_0$. Moreover, the method allows us to deduce the lifetime of the 4${}^2$P${}_{1/2}$ state to be 6.904(26) ns, which is in agreement with predictions from recent theoretical calculations and resolves a longstanding discrepancy between calculated values and experimental results.

5 + 14 pages, 4 + 2 figures; v2: supplemental material added; v3: structure improved, typos corrected, uncertainty calculations corrected;

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• Absolute frequency measurement of the 40Ca+ S1/2 - D5/2 clock transition
• High accuracy correction of blackbody radiation shift in an optical lattice clock
• An atomic clock with $1\times 10^{-18}$ room-temperature blackbody Stark uncertainty
• Precision Measurement of Transition Matrix Elements via Light Shift Cancellation
• Sideband cooling and coherent dynamics in a microchip multi-segmented ion trap
• Determination of the 5d6s 3D1 state lifetime and blackbody radiation clock shift in Yb
• Ca II H and K Chromospheric Emission Lines in Late K and M Dwarfs
• Blackbody radiation shift in a 43Ca+ ion optical frequency standard
• Precision measurement of the branching fractions of the 4P3/2 decay of Ca II
• Precision measurement of the lifetime of the 6p 2P_1/2 level of Yb+

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• Precision measurement of the branching fractions of the 5p 2 P 1/2 state in 88 Sr + with a single ion in a micro fabricated surface trap
• Measurements of the branching ratios for $6P_{1/2}$ decays in ${}^{138}$Ba${}^{+}$
• Polarizability assessments of ion-based optical clocks
• Radiative Transition Properties of Singly Charged Magnesium, Calcium, Strontium and Barium Ions
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• Iterative Precision Measurement of Branching Ratios Applied to 5P states in 88Sr+
• Dynamic polarizability measurements in ${}^{176}$Lu${}^{+}$
• Electric dipole transition amplitudes for atoms and ions with one valence electron
• Combining experiments and relativistic theory for establishing accurate radiative quantities in atoms: the lifetime of the ${}^2$P${}_{3/2}$ state in ${}^{40}$Ca${}^{+}$
• RF-induced heating dynamics of non-crystallized trapped ions
• A Fully Fiber-Integrated Ion Trap for Portable Optical Atomic Clocks
• Three-laser coherent population trapping in a multi-lambda system: theory, experiment and applications
• Measurement of the Ra${}^{+}$ $7p$ ${}^2{P}_{3/2}$ state lifetime
• Entanglement Dynamics of Two V-type Atoms with Dipole-Dipole Interaction in Dissipative Cavity
• Mitigation of birefringence in cavity-based quantum networks using frequency-encoded photons
• Thermal bistability in laser-cooled trapped ions
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• Atomic Transition Probabilities of Neutral Calcium
• Zero crossings of the differential scalar polarizability of Ba${}^{+}$ clock transition
• Numerical modeling for trapped-ion thermometry using dark resonances