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Resolving the gravitational redshift across a millimetre-scale atomic sample

Tobias Bothwell (), Colin J. Kennedy, Alexander Aeppli, Dhruv Kedar, John M. Robinson, Eric Oelker, Alexander Staron and Jun Ye ()
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Tobias Bothwell: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
Colin J. Kennedy: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
Alexander Aeppli: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
Dhruv Kedar: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
John M. Robinson: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
Eric Oelker: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
Alexander Staron: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado
Jun Ye: JILA, National Institute of Standards and Technology and University of Colorado, Department of Physics, University of Colorado

Nature, 2022, vol. 602, issue 7897, 420-424

Abstract: Abstract Einstein’s theory of general relativity states that clocks at different gravitational potentials tick at different rates relative to lab coordinates—an effect known as the gravitational redshift1. As fundamental probes of space and time, atomic clocks have long served to test this prediction at distance scales from 30 centimetres to thousands of kilometres2–4. Ultimately, clocks will enable the study of the union of general relativity and quantum mechanics once they become sensitive to the finite wavefunction of quantum objects oscillating in curved space-time. Towards this regime, we measure a linear frequency gradient consistent with the gravitational redshift within a single millimetre-scale sample of ultracold strontium. Our result is enabled by improving the fractional frequency measurement uncertainty by more than a factor of 10, now reaching 7.6 × 10−21. This heralds a new regime of clock operation necessitating intra-sample corrections for gravitational perturbations.

Date: 2022
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DOI: 10.1038/s41586-021-04349-7

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