Quantum nonlinear optics using single atom
Arkabrata Bhattacharya · LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas) · 2012
[ANGLÈS] In this thesis we tried to investigate the non-linear effects introduced by a generalized interaction of a two-level atom coupled to two photons. Scattering matrices were used to calculate the non-linear effects introduced and the dependence of outgoing frequencies of quantum light on these effects was found. It was seen as quite opposed to typical classical theories, that the non-linear susceptibility for an atom dictates very precise output frequencies from it. As a next step this work probes into quantum computing in which the two-photon bound state problem was mathematically established to show that a single two-level atom cannot be used in realization of non-linear logical operations in quantum computations. In the end a possible intuitive solution, involving dissimilar decay rates in three level systems, was thought of and shown that it can be effectively applied to quantum logic.