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Quantum-amplified global-phase spectroscopy on an optical clock transition

Leon Zaporski, Qi Liu, Gustavo Velez, Matthew Radzihovsky, Zeyang Li, Simone Colombo, Edwin Pedrozo-Peñafiel and Vladan Vuletić ()
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Leon Zaporski: Massachusetts Institute of Technology
Qi Liu: Massachusetts Institute of Technology
Gustavo Velez: Massachusetts Institute of Technology
Matthew Radzihovsky: Massachusetts Institute of Technology
Zeyang Li: Massachusetts Institute of Technology
Simone Colombo: Massachusetts Institute of Technology
Edwin Pedrozo-Peñafiel: Massachusetts Institute of Technology
Vladan Vuletić: Massachusetts Institute of Technology

Nature, 2025, vol. 646, issue 8084, 309-314

Abstract: Abstract Optical lattice clocks are at the forefront of precision metrology1–6, operating near a standard quantum limit set by quantum noise4,7. Harnessing quantum entanglement offers a promising route to surpass this limit8–15; however, there are practical difficulties in terms of scalability and measurement resolution requirements16,17. Here we adapt the holonomic quantum gate concept18 to develop a new Rabi-type ‘global-phase spectroscopy’ that uses the detuning-sensitive global Aharonov–Anandan phase19. With this approach, we can demonstrate quantum-amplified time-reversal spectroscopy on an optical clock transition that achieves directly measured 2.4(7) dB metrological gain and 4.0(8) dB improvement in laser noise sensitivity beyond the standard quantum limit. To this end, we introduce rotary echo to protect the dynamics from inhomogeneities in light–atom coupling and implement a laser-noise-cancelling differential measurement through symmetric phase encoding in two nuclear spin states. Our technique is not limited by measurement resolution, scales easily because of the global nature of entangling interaction and exhibits high resilience to typical experimental imperfections. We expect it to be broadly applicable to next-generation atomic clocks and other quantum sensors approaching the fundamental quantum precision limits20–22.

Date: 2025
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DOI: 10.1038/s41586-025-09578-8

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