analogue they act upon the Landau states. The expected particle number in these states corresponds to the number of magnetic flux quanta $(\Phi = \hbar c / \vert e \vert)$ that can be trapped in a circle of radius $l_{\mathcal{B}}$, a radius that changes between reference frames. It is important to stress out that these operators govern the quantized motion of the system, and are not responsible of creating and annihilating particles described by the Dirac equation. When working in a flat spacetime—as in the present report—there is a unique definition of vacuum regardless of the reference frame [@Ford_1998]; therefore, Lorentz transformations do not create particles and can not lead to squeezed states. This would not be the case in accelerated or curved spaces [@Davies_1975; @Unruh_1976; @Candelas_1978; @Jauregui_1991].

Conclusion {#secc:conclusion}
==========

We have obtained the eigenstates and eigenvalues of the on-resonance driven Jaynes-Cummings model, and, through equations (\[back\_6\])-(\[back\_7\_3\]), the driven Jaynes-Cummings-Rabi model. The solutions display two different phases of the system depending on the ratio between dipole coupling strength and driving field amplitude. Below a critical drive amplitude, the system exhibits a discrete level structure accompanied by a finite photon number expectation. This structure collapses at the critical drive, and 