Lecture 3 of the "Introduction to Quantum Optics" course that I taught on 2020's spring term at Shanghai Jiao Tong University. In this lecture we review one more aspect of basic quantum mechanics (mixed states, meaning and use), and introduce a useful description of quantum states of the harmonic oscillator in phase space, the Wigner function. We then start discussing the concept of Gaussian states, which play a predominant role in quantum optics.

The whole videocourse consists on 16 installments (~2.5h each), and covers the essentials of the topic, including the quantum theory of the electromagnetic field and atoms, their basic interactions, and the theory of open quantumoptical systems. Here is the lessons' playlist:    • Lectures on Quantum Optics  2020  

The course is selfcontained and follows my own detailed notes (comments are welcome, since they are planned to appear as a book sometime on 2020/2021). All materials of the course, including these videos, blackboards, and exercise sheets, can be downloaded from:
https://www.dropbox.com/sh/0qflvjehvd...

Solutions to the exercises can be provided upon request, just send me an email. Also, feel free to ask any questions about the subject, I'll do my best to reply, timepermitting.

More information about me: www.carlosnb.com
Video presentation about my group:    • The ONEQOS group at the Wilczek Quan...  

Disclaimer: Keep in mind that this is my first time teaching online (due to COVID19), so it took me some time to adapt and feel comfortable talking to a monitor, instead of real students. I nevertheless decided to share the lectures, since I got a few requests from students around the globe who have no access to this topic at their universities. I hope they are useful!