Observation of Discrete Floquet Time Crystals in Periodically Driven Acoustic Bubbles

Pierre Deymier, Keith A Runge

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We show experimentally and theoretically that the translation dynamics of acoustic bubbles in an acoustic standing wave field exhibit all the attributes of a discrete time crystal, the dynamics of which is described by Mathieu’s equation. Individual bubbles and synchronized bubbles in a self-organized chain undergo emergent slow persistent oscillations. The period of the emergent oscillations is longer than that of the driving acoustic wave by three orders of magnitude, therefore, breaking the discrete time translation symmetry of the driver.

Original languageEnglish (US)
Article number399
Issue number3
StatePublished - Mar 2022


  • Mathieu’s equation
  • acoustic bubbles
  • time crystal

ASJC Scopus subject areas

  • General Chemical Engineering
  • General Materials Science
  • Condensed Matter Physics
  • Inorganic Chemistry


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