In (II), the initially adiabatic electronic and photon basis sets are self-consistently updated to minimize the number of basis states needed to properly describe the polaritonic system, which, in general, should give a more accurate and trustworthy description of the ground and excited states due to its variational nature. This scheme will be referred to as the self-consistent QED scheme (scQED). In this scheme, the electronic DOFs will be perturbed by the presence of the photonic terms in the Hamiltonian, which has led to studies involving how the ground state orbitals will react to these additional photonic terms, which will be discussed in more detail later. 3.1 Parameterized QED Approach