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Discrete Time-Crystalline Order Enabled by Quantum Many-Body Scars: Entanglement Steering via Periodic Driving

https://doi.org/10.1103/PhysRevLett.127.090602

Maskara, N. ; Michailidis, A. A. ; Ho, W. W. ; Bluvstein, D. ; Choi, S. ; Lukin, M. D. ; Serbyn, M. ( August 2021 , Physical Review Letters)

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Distinguishing localization from chaos: Challenges in finite-size systems

https://doi.org/10.1016/j.aop.2021.168415

Abanin, D.A. ; Bardarson, J.H. ; De Tomasi, G. ; Gopalakrishnan, S. ; Khemani, V. ; Parameswaran, S.A. ; Pollmann, F. ; Potter, A.C. ; Serbyn, M. ; Vasseur, R. ( April 2021 , Annals of Physics)
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Emergent Dirac Gullies and Gully-Symmetry-Breaking Quantum Hall States in ABA Trilayer Graphene

https://doi.org/10.1103/PhysRevLett.121.167601

Zibrov, A. A. ; Rao, P. ; Kometter, C. ; Spanton, E. M. ; Li, J. I. A. ; Dean, Cory R. ; Taniguchi, T. ; Watanabe, K. ; Serbyn, M. ; Young, A. F. ( October 2018 , Physical Review Letters)
Controlling quantum many-body dynamics in driven Rydberg atom arrays

https://doi.org/10.1126/science.abg2530

Bluvstein, D. ; Omran, A. ; Levine, H. ; Keesling, A. ; Semeghini, G. ; Ebadi, S. ; Wang, T. T. ; Michailidis, A. A. ; Maskara, N. ; Ho, W. W. ; et al ( February 2021 , Science)

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.

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