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We discovered a dynamical heating transition in classical spin chains, showing prethermal physics survives the classical limit. This finding extends Floquet engineering concepts to classical many-body systems.

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Area of Science:

  • * Condensed matter physics
  • * Statistical mechanics
  • * Quantum chaos

Background:

  • * Periodically driven quantum systems exhibit prethermalization, a long-lived state before reaching infinite temperature.
  • * Understanding the classical limit of such phenomena is crucial for broader applications.

Purpose of the Study:

  • * To investigate the existence and characteristics of prethermal physics in classical driven spin chains.
  • * To explore the transition dynamics between prethermal and infinite-temperature regimes.
  • * To assess the applicability of concepts like Floquet engineering to classical systems.

Main Methods:

  • * Numerical simulations of a clean, chaotic, periodically driven classical spin chain.
  • * Analysis of dynamical heating transitions and transition times.
  • * Application of inverse-frequency expansion to describe prethermal physics.

Main Results:

  • * A continuous dynamical heating transition was observed between prethermal and infinite-temperature stages.
  • * Transition time exhibits a steep exponential dependence on drive frequency.
  • * Prethermal plateau stability is linked to drive-induced synchronization, a phenomenon not fully explained by inverse-frequency expansion.

Conclusions:

  • * Prethermal physics, previously observed in quantum Floquet systems, persists in the classical limit.
  • * Inverse-frequency expansion provides a good description of prethermal physics, though synchronization plays a key role in stability.
  • * Findings pave the way for Floquet engineering in classical many-body systems, with relevance to photonic crystals and cold atoms.