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  • Open Access

Quantum-corrected Floquet dynamics: Bridging fully quantum and semiclassical regimes

E. K. Twyeffort*

A. D. Armour

  • School of Physics and Astronomy and Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, Nottingham NG7 2RD, United Kingdom

  • *Contact author: e.k.twyeffort@soton.ac.uk
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Phys. Rev. A 114, 043726 – Published 16 October, 2026

DOI: https://doi.org/10.1103/y5yj-2p6b

Abstract

Semiclassical descriptions of a few-level system coupled to an electromagnetic field mode reduce the field to a time-dependent driving term. Although such methods are widely used, the underlying quantum character of the field generates corrections to the dynamics that can become significant. Here, we develop a general approach for systematically calculating quantum corrections to the time-dependent Floquet dynamics that emerges in the semiclassical description. Taking the Rabi model of a spin-field system as an example, we show how approximate analytical expressions for short-time quantum corrections to the semiclassical dynamics can be obtained. This framework helps explain the emergence of semiclassical behavior, sheds light on collapse and revival dynamics in the Rabi model, and provides a tool for assessing corrections to semiclassical control techniques.

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Phys. Rev. A 114, 043726– Published 16 October, 2026
  • Received 28 July 2025
  • Revised 18 March 2026
  • Accepted 17 September 2026
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