Multiphoton wavefunction after the Kerr interaction
Kazuki Koshino
Abstract
With the goal of achieving all-optical quantum information processing, singlephoton engineering has become one of the hottest research topics in physics. Rapid progress has been made in generating and detecting single photons, and also in information processing based on linear optics. Furthermore, the discovery of optical nonlinearity that is sensitive to individual photons has raised the possibility of using one photon to control another photon, increasing the need to develop a quantitative theory of nonlinear quantum optics.The simplest method to analyze the nonlinear dynamics of photons is to introduce an effective nonlinearinteraction Hamiltonian based on the singlemode approximation. For example, the following time evolution operator has conventionally been used for the self-Kerr interaction: ˆ