Physics and Astronomy Calendar

In this talk I present a new method for finding sets of exact isolated solutions for a class of Hamiltonians comprising interacting spins and bosons, of relevance to quantum optics and allied areas. I first demonstrate the simplicity and efficiency of the method by applying it to the one-photon Rabi Hamiltonian. I then also apply it to the two-photon Rabi Hamiltonian which is an obvious extension of the previous case, but where the atomic transitions are induced by the absorption and emission nof two photons rather than one. Such nonlinear optical processes have been of considerable interest, with applications to two-photon lasers and two-photon optical instability.