A Study on the Shape of Two-Photon Wavefunctions after the Nonlinear Interaction with a One-Dimensional Atom

KUNIHIRO KOJIMA, HOLGER F. HOFMANN, SHIGEKI TAKEUCHI and KEIJI SASAKI

We study the interaction of Gaussian one- and two-photon pulses with a single two-level atom based on a one-dimensional model of pulse propagation to and from the atom. The characteristic time scale of the atomic response is the dipole relaxation time 1/GF. We therefore compare the effect of the non-linear two-photon interaction for a long pulse length of 10/GF with a short pulse of 1/GF. Our results indicate that the effect of the non-linear interaction is particularly strong for the short pulse length of 1/GF.