Executive Summary : | Entanglement is crucial for quantum information and communication protocols, and photonic systems offer a feasible platform for generating entangled states of light. Entangled state generation using wave packet propagation through nonlinear models has been reported in literature, but most studies do not treat the system as an open system. The information entropy of the system can be used to quantify the entanglement potential of time-evolved states. This study proposes investigating wave packet dynamics in the nonlinear model and studying the dynamics of information entropy considering environment-induced decoherence of the state. The authors consider amplitude decay and phase damping models of decoherence and study the optical tomographic representation of the state evolving in a nonlinear medium in the presence of decoherence. Optical homodyne tomography is an experimental procedure to reconstruct quantum states of light by measuring the rotated quadrature operator. The optical tomogram contains all the information about the state, and the characteristics of quantum states of light can be inferred directly from its optical tomogram. The proposed method identifies quantum wave packet revival and fractional revivals from the homodyne measurement data. The researchers introduce a quantifier of the nonclassicality of the state using the standard deviation in the measurement of the homodyne rotated quadrature operator. The proposed approach will involve both theoretical and numerical simulation of quantum systems to characterize revivals and fractional revivals using optical homodyne tomography. |