Introduction to Quantum Optics

TL;DR

This paper provides an introductory overview of quantum optics, covering its fundamental concepts, diverse systems, and significance in quantum information, foundational physics, and beyond, aimed at students with basic quantum mechanics knowledge.

Contribution

It offers a comprehensive, accessible introduction to quantum optics, including modern systems and applications, suitable for learners at all levels, with ongoing updates and explanations.

Findings

Quantum optics encompasses a wide range of physical systems.

It plays a crucial role in quantum information and foundational physics.

The field offers opportunities for testing fundamental theories and new physics.

Abstract

These are the lecture notes for a course that I am teaching at Zhiyuan College of Shanghai Jiao Tong University (available at https://www.youtube.com/derekkorg), though the first draft was created for a previous course I taught at the University of Erlangen-Nuremberg in Germany. It has been designed for students who have only had basic training on quantum mechanics, and hence, the course is suited for people at all levels. The notes are a work in progress, meaning that some proofs and many figures are still missing. However, I've tried my best to write everything in such a way that a reader can follow naturally all arguments and derivations even with these missing bits. Quantum optics treats the interaction between light and matter. We may think of light as the optical part of the electromagnetic spectrum, and matter as atoms. However, modern quantum optics covers a wild variety of systems, including superconducting circuits, confined electrons, excitons in semiconductors, defects in solid state, or the center-of-mass motion of micro-, meso-, and macroscopic systems. Moreover, quantum optics is at the heart of the field of quantum information. The ideas and experiments developed in quantum optics have also allowed us to take a fresh look at many-body problems and even high-energy physics. In addition, quantum optics holds the promise of testing foundational problems in quantum mechanics as well as physics beyond the standard model in table-sized experiments. Quantum optics is therefore a topic that no future researcher in quantum physics should miss.