The polarizable embedding (PE) model is a fragment based quantum-classical approach tuned to compute spectroscopic properties. For a recent perspective on the background for the Polarizable Embedding method we refer to Ref. In the PE method, atoms in the MM region are typically assigned distributed multipole moments up to quadrupoles to represent the static charge distribution of the environment. In addition polarizabilities are added to describe environmental polarization effects. These polarizabilities are usually approximated to be frequency independent, however, frequency dependent polarizabilities can also be used. The polarizabilities give rise to an explicit description of polarization in the environment which is determined in a self-consistent manner, leading to a fully coupled description of polarization between the QM and the MM regions. The PE model is generally able to provide results that are consistent with full QM calculations, but benefits from significantly reduced computational cost as exemplified in a recent study of the predicted electronic absorption spectrum of the Green Fluorescent Protein. It has been applied in the computation of optical properties over a wide range of target systems: from solute-solvent systems to more complex setups with chromophores embedded in large biological systems as proteins or nucleic acids. Recently, the PE model has also been formulated and applied in the context of the Frenkel exciton Hamiltonian 17 in order to compute excitation energies and electronic couplings between chromophores in multi-chromophoric proteins, where a given chromophore is coupled to other chromophores embedded in the protein through excitation energy transfer. The use of the exciton model allows for a straightforward computation of coupled optical properties, and constructing the Frenkel Hamiltonian from properties derived form PE calculations represents an appealing procedure, especially for systems where the absorption spectrum of the chromophore is overlapping with the absorption spectrum of the surroundings.