Bothwell, T. et al. Resolving the gravitational redshift across a millimetre-scale atomic sample. Nature 602, 420–424 (2022).
Oelker, E. et al. Demonstration of 4.8 × 10−17 stability at 1 s for two independent optical clocks. Nat. Photon. 13, 714–719 (2019).
McGrew, W. F. et al. Atomic clock performance enabling geodesy below the centimetre level. Nature 564, 87–90 (2018).
Kitagawa, M. & Ueda, M. Squeezed spin states. Phys. Rev. A 47, 5138 (1993).
Agarwal, G., Puri, R. & Singh, R. Atomic Schrödinger cat states. Phys. Rev. A 56, 2249 (1997).
Mølmer, K. & Sørensen, A. Multiparticle entanglement of hot trapped ions. Phys. Rev. Lett. 82, 1835 (1999).
Song, C. et al. Generation of multicomponent atomic Schrödinger cat states of up to 20 qubits. Science 365, 574–577 (2019).
Comparin, T., Mezzacapo, F. & Roscilde, T. Multipartite entangled states in dipolar quantum simulators. Phys. Rev. Lett. 129, 150503 (2022).
Wineland, D. J., Bollinger, J. J., Itano, W. M., Moore, F. L. & Heinzen, D. J. Spin squeezing and reduced quantum noise in spectroscopy. Phys. Rev, A 46, R6797 (1992).
Wineland, D. J., Bollinger, J. J., Itano, W. M. & Heinzen, D. J. Squeezed atomic states and projection noise in spectroscopy. Phys. Rev. A 50, 67 (1994).
Giovannetti, V., Lloyd, S. & Maccone, L. Advances in quantum metrology. Nat. Photon. 5, 222–229 (2011).
Degen, C. L., Reinhard, F. & Cappellaro, P. Quantum sensing. Rev. Mod. Phys. 89, 035002 (2017).
Pezzè, L., Smerzi, A., Oberthaler, M. K., Schmied, R. & Treutlein, P. Quantum metrology with nonclassical states of atomic ensembles. Rev. Mod. Phys. 90, 035005 (2018).
Ludlow, A. D., Boyd, M. M., Ye, J., Peik, E. & Schmidt, P. O. Optical atomic clocks. Rev. Mod. Phys. 87, 637 (2015).
Norcia, M. A. et al. Cavity-mediated collective spin-exchange interactions in a strontium superradiant laser. Science 361, 259–262 (2018).
Ritsch, H., Domokos, P., Brennecke, F. & Esslinger, T. Cold atoms in cavity-generated dynamical optical potentials. Rev. Mod. Phys. 85, 553 (2013).
Leroux, I. D., Schleier-Smith, M. H. & Vuletić, V. Implementation of cavity squeezing of a collective atomic spin. Phys. Rev. Lett. 104, 073602 (2010).
Hosten, O., Engelsen, N. J., Krishnakumar, R. & Kasevich, M. A. Measurement noise 100 times lower than the quantum-projection limit using entangled atoms. Nature 529, 505–508 (2016).
Cox, K. C., Greve, G. P., Weiner, J. M. & Thompson, J. K. Deterministic squeezed states with collective measurements and feedback. Phys. Rev. Lett. 116, 093602 (2016).
Pedrozo-Peñafiel, E. et al. Entanglement on an optical atomic-clock transition. Nature 588, 414–418 (2020).
Bohn, J. L., Rey, A. M. & Ye, J. Cold molecules: progress in quantum engineering of chemistry and quantum matter. Science 357, 1002–1010 (2017).
Schine, N., Young, A. W., Eckner, W. J., Martin, M. J. & Kaufman, A. M. Long-lived Bell states in an array of optical clock qubits. Nat. Phys. 18, 1067–1073 (2022).
Britton, J. W. et al. Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins. Nature 484, 489–492 (2012).
Bohnet, J. G. et al. Quantum spin dynamics and entanglement generation with hundreds of trapped ions. Science 352, 1297–1301 (2016).
Perlin, M. A., Qu, C. & Rey, A. M. Spin squeezing with short-range spin-exchange interactions. Phys. Rev. Lett. 125, 223401 (2020).
Bilitewski, T. et al. Dynamical generation of spin squeezing in ultracold dipolar molecules. Phys. Rev. Lett. 126, 113401 (2021).
Comparin, T., Mezzacapo, F. & Roscilde, T. Robust spin squeezing from the tower of states of U(1)-symmetric spin Hamiltonians. Phys. Rev. A 105, 022625 (2022).
Young, J. T., Muleady, S. R., Perlin, M. A., Kaufman, A. M. & Rey, A. M. Enhancing spin squeezing using soft-core interactions. Phys. Rev. Res. 5, L012033 (2023).
Block, M. et al. A universal theory of spin squeezing. Preprint at https://arxiv.org/abs/2301.09636 (2023).
Pezzé, L. & Smerzi, A. Entanglement, nonlinear dynamics, and the Heisenberg limit. Phys. Rev. Lett. 102, 100401 (2009).
Browaeys, A. & Lahaye, T. Many-body physics with individually controlled Rydberg atoms. Nat. Phys. 16, 132–142 (2020).
Bruzewicz, C. D., Chiaverini, J., McConnell, R. & Sage, J. M. Trapped-ion quantum computing: progress and challenges. Appl. Phys. Rev. 6, 021314 (2019).
Tscherbul, T. V., Ye, J. & Rey, A. M. Robust nuclear spin entanglement via dipolar interactions in polar molecules. Phys. Rev. Lett. 130, 143002 (2023).
Gorshkov, A. V. et al. Tunable superfluidity and quantum magnetism with ultracold polar molecules. Phys. Rev. Lett. 107, 115301 (2011).
Foss-Feig, M., Gong, Z.-X., Gorshkov, A. V., and Clark, C. W. Entanglement and spin-squeezing without infinite-range interactions. Preprint at https://arxiv.org/abs/1612.07805 (2016).
Rey, A. M., Jiang, L., Fleischhauer, M., Demler, E. & Lukin, M. D. Many-body protected entanglement generation in interacting spin systems. Phys. Rev. A 77, 052305 (2008).
Kranzl, F. et al. Controlling long ion strings for quantum simulation and precision measurements. Phys. Rev. A 105, 052426 (2022).
Greenberger, D. M., Horne, M. A. & Zeilinger, A. in Bell’s Theorem, Quantum Theory and Conceptions of the Universe (ed. Kafatos, M.) 69–72 (Springer, 1989).
Qiao, M. et al. Observing frustrated quantum magnetism in two-dimensional ion crystals. Preprint at https://arxiv.org/abs/2204.07283 (2022).
Kiesenhofer, D. et al. Controlling two-dimensional Coulomb crystals of more than 100 ions in a monolithic radio-frequency trap. PRX Quantum 4, 020317 (2023).
Itano, W. M. et al. Bragg diffraction from crystallized ion plasmas. Science 279, 686–689 (1998).
Barredo, D., Lienhard, V., de Léséleuc, S., Lahaye, T. & Browaeys, A. Synthetic three-dimensional atomic structures assembled atom by atom. Nature 561, 79–82 (2018).
Bornet, G. et al. Scalable spin squeezing in a dipolar Rydberg atom array. Preprint at https://arxiv.org/abs/2303.08053 (2023)
Eckner, W. J. et al. Realizing spin squeezing with Rydberg interactions in a programmable optical clock. Preprint at https://arxiv.org/abs/2303.08078 (2023).
Campbell, S. L. et al. A Fermi-degenerate three-dimensional optical lattice clock. Science 358, 90–94 (2017).
Davis, E., Bentsen, G. & Schleier-Smith, M. Approaching the Heisenberg limit without single-particle detection. Phys. Rev. Lett. 116, 053601 (2016).
Liu, Y. C., Xu, Z. F., Jin, G. R. & You, L. Spin squeezing: transforming one-axis twisting into two-axis twisting. Phys. Rev. Lett. 107, 013601 (2011).
Marciniak, C. D. et al. Optimal metrology with programmable quantum sensors. Nature 603, 604–609 (2022).
Kaubruegger, R., Vasilyev, D. V., Schulte, M., Hammerer, K. & Zoller, P. Quantum variational optimization of Ramsey interferometry and atomic clocks. Phys. Rev. X 11, 041045 (2021).
Hines, J. A. et al. Spin squeezing by Rydberg dressing in an array of atomic ensembles. Preprint at https://arxiv.org/abs/2303.08805 (2023).
Joshi, M. K. et al. Observing emergent hydrodynamics in a long-range quantum magnet. Science 376, 720–724 (2022).
Zhu, S.-L., Monroe, C. & Duan, L.-M. Trapped ion quantum computation with transverse phonon modes. Phys. Rev. Lett. 97, 050505 (2006).
Wu, C. F. J. Jackknife, bootstrap and other resampling methods in regression analysis. Ann. Stat. 14, 1261–1295 (1986).
Foss-Feig, M., Hazzard, K. R. A., Bollinger, J. J. & Rey, A. M. Nonequilibrium dynamics of arbitrary-range Ising models with decoherence: an exact analytic solution. Phys. Rev. A 87, 042101 (2013).
Schachenmayer, J., Pikovski, A. & Rey, A. M. Many-body quantum spin dynamics with Monte Carlo trajectories on a discrete phase space. Phys. Rev. X 5, 011022 (2015).
Zhu, B. H., Rey, A. M. & Schachenmayer, J. A generalized phase space approach for solving quantum spin dynamics. New J. Phys. 21, 082001 (2019).
Huber, J., Rey, A. M. & Rabl, P. Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems. Phys. Rev. A 105, 013716 (2022).
Muleady, S. R., Yang, M., White, S. R. & Rey, A. M. Validating phase-space methods with tensor networks in two-dimensional spin models with power-law interactions. Preprint at https://arxiv.org/abs/2305.17242 (2023).
Gardiner, C. W. Stochastic Methods: A Handbook for the Natural and Social Sciences 4th edn (ed. Haken, H.) (Springer, 2009).
Roscilde, T., Comparin, T. & Mezzacapo, F. Entangling dynamics from effective rotor/spin-wave separation in U(1)-symmetric quantum spin models. Preprint at https://arxiv.org/abs/2302.09271 (2023).
Roscilde, T., Comparin, T. & Mezzacapo, F. Rotor/spin-wave theory for quantum spin models with U(1) symmetry. Preprint at https://arxiv.org/abs/2303.00380 (2023).
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