Resolving the gravitational redshift within a millimeter atomic sample

Abstract

Einstein's theory of general relativity states that clocks at different gravitational potentials tick at different rates - an effect known as the gravitational redshift. As fundamental probes of space and time, atomic clocks have long served to test this prediction at distance scales from 30 centimeters to thousands of kilometers. Ultimately, clocks will study the union of general relativity and quantum mechanics once they become sensitive to the finite wavefunction of quantum objects oscillating in curved spacetime. Towards this regime, we measure a linear frequency gradient consistent with the gravitational redshift within a single millimeter 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$\times 10^{-21}$. This heralds a new regime of clock operation necessitating intra-sample corrections for gravitational perturbations.

arXiv comment27 pages, 4 figures, 1 table

References in corpus (29)

• Search for New Physics with Atoms and Molecules
• Systematic evaluation of an atomic clock at 2e-18 total uncertainty
• Atomic clock performance beyond the geodetic limit
• An ${}^{27}$Al${}^{+}$ quantum-logic clock with systematic uncertainty below $10^{-18}$
• 1.5 $\mu$m lasers with sub 10 mHz linewidth
• Geodesy and metrology with a transportable optical clock
• Optical clock intercomparison with $6\times 10^{-19}$ precision in one hour
• Gravitational wave detection with optical lattice atomic clocks
• A Fermi-degenerate three-dimensional optical lattice clock
• JILA SrI Optical Lattice Clock with Uncertainty of $2.0\times 10^{-18}$
• Entanglement-Enhanced Optical Atomic Clock
• Spin-orbit coupled fermions in an optical lattice clock
• Optical clock comparison test of Lorentz symmetry
• Precision Metrology Meets Cosmology: Improved Constraints on Ultralight Dark Matter from Atom-Cavity Frequency Comparisons
• A gravitational redshift test using eccentric Galileo satellites
• A quantum many-body spin system in an optical lattice clock
• Nuclear Spin Effects in Optical Lattice Clocks
• Imaging optical frequencies with 100 $\mu$Hz precision and 1.1 $\mu$m resolution
• Test of the Gravitational Redshift with Galileo Satellites in an Eccentric Orbit
• High precision differential clock comparisons with a multiplexed optical lattice clock
• Variational spin-squeezing algorithms on programmable quantum sensors
• Hyperpolarizability effects in a Sr optical lattice clock
• Operational Magic Intensity for Sr Optical Lattice Clocks
• SAGE: A Proposal for a Space Atomic Gravity Explorer
• Observation and cancellation of the dc Stark shift in strontium optical lattice clocks
• Dynamics of interacting fermions under spin-orbit coupling in an optical lattice clock
• Quantum network of neutral atom clocks
• Cavity-QED determination of the natural linewidth of the ${}^{87}$Sr millihertz clock transition with 30$\mu$Hz resolution
• A tweezer clock with half-minute atomic coherence at optical frequencies and high relative stability

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