Numerical Study of Quantum Pulse Interaction with Localized Quantum Systems

In this project, I utilized the method proposed by Alexander Holm Kiilerich and Klaus Mølmer to investigate the interactions between incident light in various quantum states and localized quantum systems within a waveguide. One aspect of the study involved analyzing the scattering from an empty cavity with phase noise. The figure below shows the four dominant orthogonal modes in the output field, derived from the autocorrelation function of the field emitted by the cavity. Our results are consistent with those reported by Kiilerich and Mølmer.

Another significant result is the Wigner function of a flying Schrödinger cat state, generated by modulating the coupling strength between a driven nonlinear cavity and a waveguide. This demonstrates the creation of a traveling cat state via a classically driven Kerr-nonlinear parametric oscillator. Our findings align closely with the original study.

This work was shared with an experimental group, assisting their research in quantum control.