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Classical approaches to prethermal discrete time crystals in one, two, and three dimensions

Andrea Pizzi1, Andreas Nunnenkamp2, and Johannes Knolle3,4,5

  • 1Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, England, United Kingdom
  • 2School of Physics and Astronomy and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, England, United Kingdom
  • 3Department of Physics, Technische Universität München, James-Franck-Straße 1, D-85748 Garching, Germany
  • 4Munich Center for Quantum Science and Technology, 80799 Munich, Germany
  • 5Blackett Laboratory, Imperial College London, London SW7 2AZ, England, United Kingdom

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Phys. Rev. B 104, 094308 – Published 27 September, 2021

DOI: https://doi.org/10.1103/PhysRevB.104.094308

Abstract

We provide a comprehensive account of prethermal discrete time crystals within classical Hamiltonian dynamics, complementing and extending our recent work [A. Pizzi, A. Nunnenkamp, and J. Knolle, Phys. Rev. Lett. 127, 140602 (2021)]. Considering power-law interacting spins on one-, two-, and three-dimensional hypercubic lattices, we investigate the interplay between dimensionality and interaction range in the stabilization of these nonequilibrium phases of matter that break the discrete time-translational symmetry of a periodic drive.

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A Classical View of Quantum Time Crystals

Published 27 September, 2021

Numerical studies indicate that certain types of time crystals might be described using classical physics—a result that could vastly simplify the theoretical description of these systems.

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See Also

Classical Prethermal Phases of Matter

Andrea Pizzi, Andreas Nunnenkamp, and Johannes Knolle
Phys. Rev. Lett. 127, 140602 (2021)

Floquet Phases of Matter via Classical Prethermalization

Bingtian Ye, Francisco Machado, and Norman Y. Yao
Phys. Rev. Lett. 127, 140603 (2021)

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Phys. Rev. B 104, 094308– Published 27 September, 2021
  • Received 15 August 2021
  • Accepted 18 August 2021
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