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

TL;DR

This paper develops a systematic method to calculate quantum corrections to semiclassical Floquet dynamics in spin-field systems, enhancing understanding of quantum effects in driven quantum systems and improving control techniques.

Contribution

It introduces a general approach for deriving analytical quantum corrections to semiclassical Floquet dynamics, demonstrated on the Rabi model.

Findings

Analytical expressions for short-time quantum corrections derived.

Framework explains emergence of semiclassical behavior.

Provides tools to assess corrections to control techniques.

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 limit. 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 new light on collapse and revival dynamics in the Rabi model, and provides a tool for assessing corrections to semiclassical control techniques.