Quantum properties of superposition states, squeezed states, and of some parametric processes

TL;DR

This thesis explores quantum properties of superposition and squeezed states, introduces a new multidimensional squeeze operator, and examines mode interactions in nonlinear optical couplers.

Contribution

It presents a novel multidimensional squeeze operator and analyzes quantum properties of superposition states with thermal noise, advancing understanding of quantum optical systems.

Findings

Superposition states exhibit unique quantum properties under thermal noise.

The new multidimensional squeeze operator combines two squeezing mechanisms.

Mode interactions in nonlinear optical couplers reveal complex quantum dynamics.

Abstract

In this doctoral thesis we have studied the quantum properties of several models which have been classified as statical and dynamical systems. The first part has been devoted to investigate the properties of the statical models including the superposition of squeezed displaced number states with and without thermal noise. Also we have developed a new type of multidimensional squeeze operator including two different squeezing mechanisms. In the second part the dynamical models were given to show the interaction between modes in the nonlinear optical coupler.