Quantum and classical Floquet prethermalization

Wen Wei Ho, Takashi Mori, Dmitry A. Abanin, Emanuele G. Dalla Torre

Research output: Contribution to journalReview articlepeer-review


Time-periodic (Floquet) driving is a powerful way to control the dynamics of complex systems, which can be used to induce a plethora of new physical phenomena. However, when applied to many-body systems, Floquet driving can also cause heating, and lead to a featureless infinite-temperature state, hindering most useful applications. It is therefore important to find mechanisms to suppress such effects. Floquet prethermalization refers to the phenomenon where many-body systems subject to a high-frequency periodic drive avoid heating for very long times, instead tending to transient states that can host interesting physics. Its key signature is a strong parametric suppression of the heating rate as a function of the driving frequency. Here, we review our present understanding of this phenomenon in both quantum and classical systems, and across various models and methods. In particular, we present rigorous theorems underpinning Floquet prethermalization in quantum spin and fermionic lattice systems and extensions to systems with degrees of freedom that have unbounded local dimension. Further, we briefly describe applications to novel nonequilibrium phases of matter, and recent experiments probing prethermalization with quantum simulators. We close by describing the frontiers of Floquet prethermalization beyond strictly time-periodic drives, including time-quasiperiodic driving and long-lived quasi-conserved quantities enabled by large separation of energy scales.

Original languageEnglish
Article number169297
JournalAnnals of Physics
StatePublished - Jul 2023


  • Floquet prethermalization
  • Many-body quantum systems
  • Statistical mechanics

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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