Quantum-enhanced differential atom interferometers and clocks with spin-squeezing swapping

Robin Corgier1,2, Marco Malitesta1, Augusto Smerzi1, and Luca Pezzè1

1QSTAR, INO-CNR and LENS, Largo Enrico Fermi 2, 50125 Firenze, Italy.
2LNE-SYRTE, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université 61 avenue de l’Observatoire, 75014 Paris, France

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Abstract

Thanks to common-mode noise rejection, differential configurations are crucial for realistic applications of phase and frequency estimation with atom interferometers. Currently, differential protocols with uncorrelated particles and mode-separable settings reach a sensitivity bounded by the standard quantum limit (SQL). Here we show that differential interferometry can be understood as a distributed multiparameter estimation problem and can benefit from both mode and particle entanglement. Our protocol uses a single spin-squeezed state that is mode-swapped among common interferometric modes. The mode swapping is optimized to estimate the differential phase shift with sub-SQL sensitivity. Numerical calculations are supported by analytical approximations that guide the optimization of the protocol. The scheme is also tested with simulation of noise in atomic clocks and interferometers.

Thanks to common-mode noise rejection, differential configurations are crucial for realistic applications of phase and frequency estimation with atom interferometers.
Currently, differential protocols with uncorrelated particles and mode-separable settings reach a sensitivity bounded by the standard quantum limit (SQL).
Here we show that differential interferometry can be understood as a distributed multiparameter estimation problem and can benefit from both mode and particle entanglement.
Our protocol uses a single spin-squeezed state that is mode-swapped among common interferometric modes.
The mode swapping is optimized to estimate the differential phase shift with sub-SQL sensitivity.

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[2] Christian Struckmann, Robin Corgier, Sina Loriani, Gina Kleinsteinberg, Nina Gox, Enno Giese, Gilles Métris, Naceur Gaaloul, and Peter Wolf, "Platform and environment requirements of a satellite quantum test of the weak equivalence principle at the 10−17 level", Physical Review D 109 6, 064010 (2024).

[3] Luca Pezzè and Augusto Smerzi, "Distributed Quantum Multiparameter Estimation with Optimal Local Measurements", Physical Review Letters 135 26, 260805 (2025).

[4] Adam Abdalla, Mahiro Abe, Sven Abend, Mouine Abidi, Monika Aidelsburger, Ashkan Alibabaei, Baptiste Allard, John Antoniadis, Gianluigi Arduini, Nadja Augst, Philippos Balamatsias, Antun Balaž, Hannah Banks, Rachel L. Barcklay, Michele Barone, Michele Barsanti, Mark G. Bason, Angelo Bassi, Jean-Baptiste Bayle, Charles F. A. Baynham, Quentin Beaufils, Sélyan Beldjoudi, Aleksandar Belić, Shayne Bennetts, Jose Bernabeu, Andrea Bertoldi, Clara Bigard, N. P. Bigelow, Robert Bingham, Diego Blas, Alexey Bobrick, Samuel Boehringer, Aleksandar Bogojević, Kai Bongs, Daniela Bortoletto, Philippe Bouyer, Christian Brand, Oliver Buchmueller, Gabriela Buica, Sergio Calatroni, Léo Calmels, Priscilla Canizares, Benjamin Canuel, Ana Caramete, Laurentiu-Ioan Caramete, Matteo Carlesso, John Carlton, Samuel P. 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[7] Yifan Li, Lex Joosten, Youcef Baamara, Paolo Colciaghi, Alice Sinatra, Philipp Treutlein, and Tilman Zibold, "Multiparameter estimation with an array of entangled atomic sensors", Science 391 6783, 374 (2026).

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The above citations are from Crossref's cited-by service (last updated successfully 2026-08-19 14:47:34) and SAO/NASA ADS (last updated successfully 2026-08-19 14:47:35). The list may be incomplete as not all publishers provide suitable and complete citation data.