Light interactions with polar quantum systems

We investigate the dynamics of polar systems coupled to classical external beams in the ultrastrong coupling regime. The permanent dipole moments (PDMs) sustained by polar systems can couple to the electromagnetic field, giving rise to a variety of processes such as difference frequency and harmonic generation, reflected in the complicated dynamics of the atomic system. Here, we demonstrate that the atomic evolution can be described simply in a dynamic reference frame. We derive a Jaynes-Cummings-like framework with effective parameters describing the frequency shift, coupling strength with the driving field, and a rescaled relaxation rate. The familiar linear scaling of the interaction strength with the field amplitude is replaced with a nonlinear dependence, suggesting potential applications for improving the coherence of quantum system ensembles with permanent dipoles.