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Time-periodic driving can engineer quantum states. Weakly interacting systems can synchronize with driving, exhibiting prethermalization before reaching infinite-temperature behavior.

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Area of Science:

  • Quantum many-body physics
  • Quantum dynamics
  • Condensed matter theory

Background:

  • Time-periodic driving is a method for engineering quantum states.
  • Integrable, noninteracting systems synchronize with driving.
  • Generic nonintegrable systems typically heat to infinite-temperature behavior.

Purpose of the Study:

  • Investigate prethermalization in weakly interacting quantum systems under quasiperiodic driving.
  • Explore the emergence of synchronized states and their characteristics.
  • Analyze the timescale separation between synchronization and thermalization.

Main Methods:

  • Theoretical analysis of quasiperiodic time evolution.
  • Development of a framework using approximate constants of motion.
  • Numerical simulations of the driven Hubbard model.

Main Results:

  • Quasiperiodic driving can lead to synchronized states in weakly interacting systems.
  • A clear separation of timescales is observed between synchronization and thermalization.
  • The synchronized state can be described by a macroscopic number of approximate constants of motion.

Conclusions:

  • Quasiperiodic driving offers a route to prethermal states in interacting quantum systems.
  • The observed prethermalization is analogous to that in quenched systems.
  • Numerical simulations support the theoretical predictions for the driven Hubbard model.