Engineering selective linear and nonlinear Jaynes–Cummings interactions and applications
F. O. Prado, W. Rosado, Augusto M. Alcalde, M. H. Y. Moussa · Journal of Physics B Atomic Molecular and Optical Physics · 2013
We present a framework to engineer nonlinear selective Jaynes-Cummings interactions for one-, two- and three-photon transitions. Higher order transitions are also discussed. Numerical simulations are presented to prove the effectiveness of our scheme. We further analyse how to apply these selective interactions to deterministic step-by-step preparation of number states, even in the non-ideal situation where cavity losses and atomic spontaneous emission are considered. Finally, we present a scheme, derived from the engineered selective interactions, to delay the decoherence process of the prepared Fock state.