Adiabatic transfer between cavity modes

The idea of counter-intuitive transfer is taken over from atomic systems to a two-mode Jaynes-Cummings model with degenerate mode frequencies. We show that an arbitrary photon state can be transferred between the two modes utilizing a suitable pulse sequence. The method is illustrated by the transfer of pure n-states and coherent states. The numerical analysis of the situation allows us to determine which parameters give adiabatic transfer and the magnitude and character of the corrections. The method is related to earlier work and possible extensions are discussed.