Nuclear spin effects in optical lattice clocks

By M. Boyd, T. Zelevinsky, A. Ludlow, S. Blatt, T. Zanon-Willette, S. Foreman, Jun Ye. 2007

178 citations recorded by the source corpus.

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 {sup 1}S{sub 0}-{sup 3}P{sub 0} clock transition and the differential g factor between the two clock states for alkaline-earth-metal(-like) atoms, using {sup 87}Sr 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 g factor in {sup 87}Sr 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{sup -17} in lattice clocks.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/4cf1db1346b9c0d293db889600f65b53a25a34b4

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms (2009, methodology): “The term Vα(r) describes the external trapping potential, which we will assume to be an optical lattice independent of the nuclear spin: even for a relatively deep lattice with a 100 kHz trap frequency, tensor and vector light shifts should be wel l below 1 Hz [1].”
Optical clock intercomparison with $6\times 10^{-19}$ precision in one hour (2019, methodology): “, 1 4 (∆[1] + ∆[2] + ∆[3] + ∆[4]) , 1 4 (∆[2] + ∆[3] + ∆[4] + ∆[5]) , .”
Demonstration of 4.8 × 10−17 stability at 1 s for two independent optical clocks (2019, methodology): “∆[1] = ∆laser[1]−∆field[1] (2) ∆[2] = ∆laser[2]−∆field[2] (3) ∆[3] = ∆laser[3] + ∆field[3] (4) ∆[4] = ∆laser[4] + ∆field[4] (5) 〈∆laser〉 ≈ 1 4 (∆[1] + ∆[2] + ∆[3] + ∆[4]) (6)”
Matter-wave Atomic Gradiometer Interferometric Sensor (MAGIS-100) (2021, unknown): “excited state lifetime in excess of 100 s [147, 148].”
Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions (2014, background): “It arises due to the differential Zeeman shift between the |g〉 and the |e〉 states with a given mF [24] and causes the linear magnetic shift of singleatom |g,mF 〉 → |e,mF 〉 clock transitions.”