A PHOTON CLUSTER APPROACH FOR MULTIPHOTON INTERACTIONS

A new approach to the quantum description of resonance multiphoton pro cesses is suggested. This approach is based on the idea that Hamiltoni ans for multiphoton transitions can be constructed in terms of composi te photon states which are called ''photon clusters.'' Along with this approach, we shall describe quantum optics in terms of photon cluster s which belong to a finite-dimensional subspace generated by photon st ates with a definite discrete phase. Hamiltonians for resonance multip hoton transitions in two-level systems are formulated in terms of phot on clusters rather than in terms of the usual single-photon states. Th e supersymmetry of these Hamiltonians is investigated.