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Chinese Physics Letters

Experimental Determination of the Landé g -Factors for 5 s 2 1 S and 5 s 5 p 3 P States of the 87 Sr Atom

Benquan Lu, Yebing Wang, Yang Guo, Qinfang Xu, Mo-Juan Yin, Jiguang Li, Hong Chang

Published Apr 1, 2018• 5 citations
Publisher

Abstract

We present an experimental determination on the Landé g-factors for the 5s 2 1 S 0 and 5 s 5 p 3 P 0 states in ultra-cold atomic systems, which is important for evaluating the Zeeman shift of the clock transition in the 87 Sr optical lattice clock. The Zeeman shift of the 5s5p 3 P 0 –5s 2 1 S 0 forbidden transition is measured with the π-polarized and σ ± -polarized interrogations at different magnetic field strengths. Moreover, in the g-factor measurement with the σ ± -transition spectra, it is unnecessary to calibrate the external magnetic field. By this means, the ground state 5s 2 1 S 0 g-factor for the 87 Sr atom is −1.306(52)×10 −4 , which is the first experimental determination to the best of our knowledge, and the result matches very well with the theoretical estimation. The differential g-factor δg between the 5s5p 3 P 0 state and the 5s 2 1 S 0 state of the 87 Sr atoms is measured in the experiment as well, which are −7.67(36) × 10 −5 with π-transition spectra and −7.72(43) × 10 −5 with σ ± -transition spectra, in good agreement with the previous report [Phys. Rev. A 76 (2007) 022510]. This work can also be used for determining the differential g-factor of the clock states for the optical clocks based on other atoms .

DOI
10.1088/0256-307x/35/4/043203

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We present an experimental determination on the Landé g-factors for the 5s 2 1 S 0 and 5 s 5 p 3 P 0 states in ultra-cold atomic systems, which is important for evaluating the Zeeman shift of the clock transition in the 87 Sr optical lattice clock. The Zeeman shift of the 5s5p 3 P 0 –5s 2 1 S 0 forbidden transition is measured with the π-polarized and σ ± -polarized interrogations at different magnetic field strengths. Moreover, in the g-factor measurement with the σ ± -transition spectra, it is unnecessary to calibrate the external magnetic field. By this means, the ground state 5s 2 1 S 0 g-factor for the 87 Sr atom is −1.306(52)×10 −4 , which is the first experimental determination to the best of our knowledge, and the result matches very well with the theoretical estimation. The differential g-factor δg between the 5s5p 3 P 0 state and the 5s 2 1 S 0 state of the 87 Sr atoms is measured in the experiment as well, which are −7.67(36) × 10 −5 with π-transition spectra and −7.72(43) × 10 −5 with σ ± -transition spectra, in good agreement with the previous report [Phys. Rev. A 76 (2007) 022510]. This work can also be used for determining the differential g-factor of the clock states for the optical clocks based on other atoms .
Ultracold atoms and molecules provide ideal stages for precision tests of fundamental physics. With microkelvin neutral strontium atoms confined in an optical lattice, we have achieved a fractional resolution of 4 × 10-15 on the 1S0–3P0 doubly forbidden 87 Sr clock transition at 698 nm. Measurements of the clock line shifts as a function of experimental parameters indicate systematic errors below the 10-15 level. The ultrahigh spectral resolution permits resolving the nuclear spin states of the clock transition at small magnetic fields, leading to measurements of the 3P0 magnetic moment and metastable lifetime. In addition, photoassociation spectroscopy performed on the narrow 1S0–3P1 transition of 88 Sr shows promise for efficient optical tuning of the ground state scattering length and production of ultracold ground state molecules. Lattice-confined Sr 2 molecules are suitable for constraining the time variation of the proton–electron mass ratio. In a separate experiment, cold, stable, ground state polar molecules are produced from Stark decelerators. These cold samples have enabled an order-of-magnitude improvement in the measurement precision of ground state, Λ doublet microwave transitions in the OH molecule. Comparing the laboratory results to those from OH megamasers in interstellar space will allow a sensitivity of 10-6 for measuring the potential time variation of the fundamental fine structure constant Δα/α over 1010 years. These results have also led to improved understandings of the molecular structure. The study of the low magnetic field behavior of OH in its 2Π3/2 ro-vibronic ground state precisely determines a differential Landé g factor between opposite parity components of the Λ doublet.
Optical lattice clocks based on the narrow ( 5 s 2 ) S 0 1 − ( 5 s 5 p ) P 0 3 transition in neutral strontium (Sr) are among the most precise and accurate measurement devices in existence. Although this transition is completely forbidden by selection rules, state mixing from the hyperfine interaction in Sr 87 provides a weakly allowed transition that can be coherently driven with practical clock laser intensities. While the coherent interrogation times of optical clocks are typically set by the linewidth of the probe laser, this limitation can be overcome in synchronous differential comparisons between ensembles. In such measurements the natural lifetime of the S 0 1 – P 0 3 clock transition becomes the fundamental limiting factor to the duration of a single run of the experiment. However, a direct measurement of the decay rate of the clock excited state is quite challenging due to the competing effects of other loss channels such as Raman scattering, inelastic collisions, and atom loss due to background gas. In this work, we monitor the decay of Sr atoms trapped in an optical lattice and initialized in the P 0 3 state. By making measurements of high and low density ensembles of both Sr 87 and Sr 88 across varying lattice trap depths, we isolate radiative decay, which accounts for a significant fraction of the observed decays at low depths. We obtain a natural radiative decay lifetime of 167 − 40 + 79 s for the P 0 3 clock state in Sr 87 , a value that is consistent with previously reported measurements and theoretical predictions. We also introduce an additional measurement scheme that involves repeated measurements of the ground-state population within a single experimental sequence, validating our model and the consistency of the measured rates. We expect that the techniques introduced in this work are applicable to lifetime measurements of long-lived metastable states in other atoms and ions used for clocks and quantum computing. The results presented in this work inform performance estimates of proposed gravitational wave detectors and long-baseline atom interferometers making use of Sr 87 .
The Measurement of Landé ggg Factor of 3D1 with Cold 88Sr Atoms
We experimentally observed the resolved Zeeman spectroscopy of the3P0-3D1 transition using the cold88Sr atoms, and measured the Landé g factor of3D1on the basis of the observable spectroscopy under different magnetic fields, which indicates the measured value is 0.4997(91) in good agreement with the calculated value of 0.4988. The detailed experimental scheme is presented here. Benefitting from the scheme, Sr atoms can be trapped in a mageto-optical trap (MOT) at a low temperature and a high density. The measurement of gJof3D1is beneficial to investigate the long range dipolar interaction on the3P0-3D1 transition of88Sr.
We present a detailed experimental and theoretical study of the effect of nuclear spin on the performance of optical lattice clocks. With a state-mixing theory including spin-orbit and hyperfine interactions, we describe the origin of the $^{1}S_{0}\text{\ensuremath{-}}^{3}P_{0}$ clock transition and the differential ggg factor between the two clock states for alkaline-earth-metal(-like) atoms, using 87Sr^{87}\mathrm{Sr}87Sr as an example. Clock frequency shifts due to magnetic and optical fields are discussed with an emphasis on those relating to nuclear structure. An experimental determination of the differential ggg factor in 87Sr^{87}\mathrm{Sr}87Sr is performed and is in good agreement with theory. The magnitude of the tensor light shift on the clock states is also explored experimentally. State specific measurements with controlled nuclear spin polarization are discussed as a method to reduce the nuclear spin-related systematic effects to below ${10}^{\ensuremath{-}17}$ in lattice clocks.