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Robust continuous time crystal in an electron–nuclear spin system

  • A. Greilich,
  • N. E. Kopteva,
  • A. N. Kamenskii,
  • P. S. Sokolov,
  • V. L. Korenev,
  • M. Bayer

摘要

Crystals spontaneously break the continuous translation symmetry of free space. Analogously, time crystals lift translational invariance in time. Here we demonstrate a robust continuous time crystal in an electron–nuclear spin system of a semiconductor tailored by tuning the material composition. Continuous, time-independent external driving of the sample produces periodic auto-oscillations with a coherence time exceeding hours. Varying the experimental parameters reveals wide ranges in which the time crystal remains stable. At the edges of these ranges, we find chaotic behaviour with a lifted periodicity corresponding to the melting of the crystal. The time crystal state enables fundamental studies of nonlinear interactions and has potential applications as a precise on-chip frequency standard.