Precision measurement of light shifts at two off-resonant wavelengths in a single trapped Ba+ ion and determination of atomic dipole matrix elements

Abstract

We define and measure the ratio (R) of the vector ac-Stark effect (or light shift) in the 6S_1/2 and 5D_3/2 states of a single trapped barium ion to 0.2% accuracy at two different off-resonant wavelengths. We earlier found R = -11.494(13) at 514.531nm and now report the value at 1111.68nm, R = +0.4176(8). These observations together yield a value of the <5D||er||4F> matrix element, previously unknown in the literature. Also, comparison of our results with an ab initio calculation of dynamic polarizability would yield a new test of atomic theory and improve the understanding of atomic structure needed to interpret a proposed atomic parity violation experiment.

arXiv comment12 pages, 11 figures, in submission to PRA

References in corpus (6)

• Destabilization of dark states and optical spectroscopy in Zeeman-degenerate atomic systems
• Precision measurement and compensation of optical Stark shifts for an ion-trap quantum processor
• Calculations of parity nonconserving s-d transitions in Cs, Fr, Ba II, and Ra II
• Hyperpolarizability effects in a Sr optical lattice clock
• Feshbach resonances in an optical lattice
• Precision measurement of light shifts in a single trapped Ba${}^{+}$ ion

Cited by in corpus (18)

• Precision Measurement of Transition Matrix Elements via Light Shift Cancellation
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• Calculation of nuclear-spin-dependent parity nonconservation in s-d transitions of Ba${}^{+}$, Yb${}^{+}$ and Ra${}^{+}$ ions
• Precision measurements on the ${}^{138}$Ba${}^{+}$ $6s^2{S}_{1/2}-5d^2{D}_{5/2}$ clock transition
• Nuclear-spin-dependent parity nonconservation in s-d_5/2 and s-d_3/2 transitions
• Constraining Extra Neutral Gauge Bosons with Atomic Parity Violation Measurements
• Precision measurement of branching fractions of ${}^{138}$Ba${}^{+}$: Testing many body theories below one percent level
• Forbidden M1 and E2 transitions in monovalent atoms and ions
• Measurements of the branching ratios for $6P_{1/2}$ decays in ${}^{138}$Ba${}^{+}$
• Radiative Transition Properties of Singly Charged Magnesium, Calcium, Strontium and Barium Ions
• Experimental determination of the nuclear magnetic octupole moment of ${}^{137}$Ba${}^{+}$ ion
• Branching fractions for $P_{3/2}$ decays in Ba${}^{+}$
• Isotope Shifts of the $6d{}^2$D${}_{3/2}$ - $7p{}^2$P${}_{1/2}$ Transition in Trapped Short-Lived ${}^{209-214}$Ra${}^{+}$
• Magic wavelength of the ${}^{138}$Ba${}^{+}$ $6s{}^2{S}_{1/2}-5d{}^2{D}_{5/2}$ clock transition
• Radium ion: A possible candidate for measuring atomic parity violation
• Measurement of Lande g factor of 5D5/2 state of BaII with a single trapped ion
• Measurement of the spin-dipolar part of the tensor polarizability of ${}^{87}$Rb
• Investigating Roles of Triple Excitations for High-precision Determination of Clock Properties of Alkaline Earth Metal Singly Charged Ions