Engineering selective linear and nonlinear Jaynes-Cummings interactions and applications

• Published in: Journal of physics. B, Atomic, molecular, and optical physics Vol. 46; no. 20; pp. 205501 - 1-10
• Main Authors: Prado, F O, Rosado, W, Alcalde, A M, Moussa, M H Y
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 28.10.2013; Institute of Physics
• Subjects: Atomic properties; coherence control; Exact sciences and technology; Fundamental areas of phenomenology (including applications); nonlinear Jaynes-Cummings interactions; Optics; Physics; Quantum description of interaction of light and matter; related experiments; Quantum optics; Selective Jaynes-Cummings interactions; Quantum optics; Spontaneous emission; Radiation matter interactions; Fock state
• ISSN: 0953-4075; 1361-6455
• DOI: 10.1088/0953-4075/46/20/205501

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.