The prerequisite for adiabatic quantum evolution of single photon or biphoton system is as follows.
We have to prepare a single photon or biphoton quantum system which has a ground and a higher level energy state. Is that allowed in physics?
If we consider a single photon quantum system, higher energy means higher frequency. So, the Hamiltonian of the system should have two eigenvalues, one for the ground level and at least one other for the first excited state.
What will the Hamiltonian look like?