Clock Precision beyond the Standard Quantum Limit at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"> <mml:mrow> <mml:msup> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>18</mml:mn> </mml:m
Optical atomic clocks with unrivaled precision and accuracy have advanced the frontier of precision measurement science and opened new avenues for exploring fundamental physics. A fundamental limitation on clock precision is the standard quantum limit (SQL), which stems from the uncorrelated projection noise of each atom. State-of-the-art optical lattice clocks interrogate large ensembles to minimize the SQL, but density-dependent frequency shifts pose challenges to scaling the atom number. The SQL can be surpassed, however, by leveraging entanglement, though it remains an open problem to achieve quantum advantage from spin squeezing at state-of-the-art stability levels. Here, we demonstrate clock performance beyond the SQL, achieving a fractional frequency precision of 1.1×10^{-18} for a single spin-squeezed clock. With cavity-based quantum nondemolition measurements, we prepare two spin-squeezed ensembles of ∼30 000 strontium atoms confined in a two-dimensional optical lattice. A synchronous clock comparison with an interrogation time of 61 ms achieves a metrological improvement of 2.0(2) dB beyond the SQL, after correcting for state preparation and measurement errors. These results establish the most precise entanglement-enhanced clock to date and offer a powerful platform for exploring the interplay of gravity and quantum entanglement.
Authors
- Joonseok Hur (ORCID: https://orcid.org/0000-0003-2636-3865)
- Yee Ming Tso (ORCID: https://orcid.org/0000-0002-6690-4892)
- Yutong Yang (ORCID: https://orcid.org/0000-0002-7570-6740)
- Maya Miklos (ORCID: https://orcid.org/0009-0003-0445-1378)
- Jun Ye (ORCID: https://orcid.org/0000-0003-0076-2112)
- Stella Kraus (ORCID: https://orcid.org/0009-0000-8373-9799)
Institutions
- National Institute of Standards and Technology (US)
- Joint Institute for Laboratory Astrophysics (US)
- University of Colorado System (US)
Publication Details
- Journal
- Physical Review Letters
- Published
- 2025-11-07
- DOI
- https://doi.org/10.1103/6v93-whwq
- Citations
- 4
- Primary Topic
- Advanced Frequency and Time Standards
- Type
- article
- Field-Weighted Citation Impact
- 4.99
Funders
- National Science Foundation
- U.S. Department of Energy
- National Institute of Standards and Technology
- Office of Science