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Using a single trapped barium ion we have developed an rf spectroscopytechnique to measure the ratio of the off-resonant vector ac Stark effect (orlight shift) in the 6S_{1/2} and 5D_{3/2} states to 0.1% precision. We find R =Delta_S / Delta_D = -11.494(13) at 514.531 nm where Delta_{S,D} are the lightshifts of the m = +/- 1/2 splittings due to circularly polarized light.Comparison of this result with an ab initio calculation of R would yield a newtest of atomic theory. By appropriately choosing an off-resonant light shiftwavelength one can emphasize the contribution of one or a few dipole matrixelements and precisely determine their values.Comment: 4 pages, 5 figures, in submission to PR

physical review letters

Precision Measurement of Light Shifts in a Single Trapped<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>Ba</mml:mi><mml:mo>+</mml:mo></mml:msup></mml:math>Ion

Precision Measurement of Light Shifts in a Single TrappedBa+Ion