The control of nonequilibrium quantum dynamics in many-body systems is challenging because interactions typically lead to thermalization and a chaotic spreading throughout Hilbert space. We investigate nonequilibrium dynamics after rapid quenches in a many-body system composed of 3 to 200 strongly interacting qubits in one and two spatial dimensions. Using a programmable quantum simulator based on Rydberg atom arrays, we show that coherent revivals associated with so-called quantum many-body scars can be stabilized by periodic driving, which generates a robust subharmonic response akin to discrete time-crystalline order. We map Hilbert space dynamics, geometry dependence, phase diagrams, and system-size dependence of this emergent phenomenon, demonstrating new ways to steer complex dynamics in many-body systems and enabling potential applications in quantum information science.
We thank many members of the Harvard AMO community, particularly E. Urbach, S. Dakoulas, and J. Doyle for their efforts enabling safe and productive operation of our laboratories during 2020. We thank D. Abanin, I. Cong, F. Machado, H. Pichler, N. Yao, B. Ye, and H. Zhou for stimulating discussions. Funding: We acknowledge financial support from the Center for Ultracold Atoms, the National Science Foundation, the Vannevar Bush Faculty Fellowship, the U.S. Department of Energy (LBNL QSA Center and grant no. DE-SC0021013), the Office of Naval Research, the Army Research Office MURI, the DARPA DRINQS program (grant no. D18AC00033), and the DARPA ONISQ program (grant no. W911NF2010021). The authors acknowledge support from the NSF Graduate Research Fellowship Program (grant DGE1745303) and The Fannie and John Hertz Foundation (D.B.); a National Defense Science and Engineering Graduate (NDSEG) fellowship (H.L.); a fellowship from the Max Planck/Harvard Research Center for Quantum Optics (G.S.); Gordon College (T.T.W.); the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement no. 850899) (A.A.M. and M.S.); a Department of Energy Computational Science Graduate Fellowship under award number DE-SC0021110 (N.M.); the Moore Foundation’s EPiQS Initiative grant no. GBMF4306, the NUS Development grant AY2019/2020, and the Stanford Institute of Theoretical Physics (W.W.H.); and the Miller Institute for Basic Research in Science (S.C.). Author contributions: D.B., A.O., H.L., A.K., G.S., S.E., and T.T.W. contributed to the building of the experimental setup, performed the measurements, and analyzed the data. A.A.M., N.M., W.W.H., S.C., and M.S. performed theoretical analysis. All work was supervised by M.G., V.V., and M.D.L. All authors discussed the results and contributed to the manuscript. Competing interests: M.G., V.V., and M.D.L. are co-founders and shareholders of QuEra Computing. A.O. is a shareholder of QuEra Computing. Data and materials availability: All data needed to evaluate the conclusions in the paper are present in the paper and the supplementary materials.
Bluvstein D, Omran A, Levine H, et al. Controlling quantum many-body dynamics in driven Rydberg atom arrays. Science. 2021;371(6536):1355-1359. doi:10.1126/science.abg2530
Bluvstein, D., Omran, A., Levine, H., Keesling, A., Semeghini, G., Ebadi, S., … Lukin, M. D. (2021). Controlling quantum many-body dynamics in driven Rydberg atom arrays. Science. AAAS. https://doi.org/10.1126/science.abg2530
Bluvstein, D., A. Omran, H. Levine, A. Keesling, G. Semeghini, S. Ebadi, T. T. Wang, et al. “Controlling Quantum Many-Body Dynamics in Driven Rydberg Atom Arrays.” Science. AAAS, 2021. https://doi.org/10.1126/science.abg2530.
D. Bluvstein et al., “Controlling quantum many-body dynamics in driven Rydberg atom arrays,” Science, vol. 371, no. 6536. AAAS, pp. 1355–1359, 2021.
Bluvstein D, Omran A, Levine H, Keesling A, Semeghini G, Ebadi S, Wang TT, Michailidis A, Maskara N, Ho WW, Choi S, Serbyn M, Greiner M, Vuletić V, Lukin MD. 2021. Controlling quantum many-body dynamics in driven Rydberg atom arrays. Science. 371(6536), 1355–1359.
Bluvstein, D., et al. “Controlling Quantum Many-Body Dynamics in Driven Rydberg Atom Arrays.” Science, vol. 371, no. 6536, AAAS, 2021, pp. 1355–59, doi:10.1126/science.abg2530.
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