07. Quantum optics (Schrodinger equation, harmonic oscillator, coherent states, photon statistics)
3:27 Particles as waves: the quantum mechanical wave function
11:15 Observables as operators
19:34 Time evolution of the wave function: Schrodinger's Equation
21:20 Frustrated total internal reflection and Quantum tunneling
22:47 Summary of basic quantum mechanics
25:05 Quantum harmonic oscillator
30:45 Coherent states
41:50 Summary of the quantum harmonic oscillator
43:05 Quantizing the electric field
47:30 Photon statistics
53:40 Shot noise and squeezed states
57:11 Summary of basic quantum optics
Historical overview of quantum optics:
'ONE HUNDRED YEARS OF LIGHT QUANTA'
Nobel Lecture by R.J. Glauber
www.nobelprize.org/uploads/20...
Theory of quantum optics:
Glauber, R. J. (1963). The quantum theory of optical coherence. Physical Review, 130(6), 2529.
Measurement of squeezed states:
Breitenbach, G., Schiller, S., & Mlynek, J. (1997). Measurement of the quantum states of squeezed light. Nature, 387(6632), 471.
Пікірлер: 22
I keep coming back to this video. This is the best video on KZread regarding quantum optics
First person on YT I've seen who actually mentions the e&m analog to quantum tunneling! Many people think this is a quantum effect, not a wave like one
Sweating after this! But great job, thank you so much. This really helped me understanding squeezed light.
This so far has been THE most sequentially elaborate and fundamentally and historically accurate recollection of the many aspects of quantum mechanics that I have come across on the web! Very well done! Thanks for sharing your work with us!!! (there was literally a whole bunch of Aha moments while watching this)
@ribamarsantarosa4465
6 ай бұрын
I guess I can only follow because I read a lot about the subject, but it summarizes up everything very quickly, everything makes sense, it gets addictive, and it's a problem if I have to stop the video to do another thing, I can't LoL
Loved this video man. Answers some really fundamental questions that i have.
This is a gold mine. Very articulate and crisp. Thanks
Thanks for your clear explanation! Very good work...
Your videos are very very helpful ,thank you alot.
AMAZINGLY PRESENTED IN UNPRECEDENTED APPROACH.
The density and organization in these videos is really helpful. Answered questions that I had and many I did not but should have.
hey dude, so much effort to prepare this lecture. Thank you so much for your hard work. I adore people who make such content knowing the consumption demographic is very small. Keep it up.
@ 03:31 Because the wave function Ψ(x) isn't a pure sinusoid it must be a superposition of sinusoids (called a wave packet). @ 25:22 Of course, in 1D the particle never leaves the x-axis (as is somehow suggested by the picture). @ 40:35 Now we know how they move, but what made them move in the first place? My answer: Nobody knows. @ 45:29 In QFT, a position-operator does not exist. Position and time are parameters (again).
Thank you sir
Would a sum of two identical (but one -ve and one +ve) coherent states still be the eigenstate of the annihilation operator ? What would it's eigen value be ? 35:00
I really like your approach of "deriving" what the momentum operator should be. In my QM class, the momentum operator was just magically handed to me and I had no idea why it was a derivative operator. Did you get this approach from any particular textbook/source?
@SanderKonijnenberg
2 жыл бұрын
Thanks for the comment! I learned a lot about topology thanks to your video. As for the 'derivation' of the momentum operator: I don't recall having seen any textbook or other source that takes this approach. I also didn't like the way the momentum operator is typically introduced in courses, so that's why I attempted to 'derive' it from a starting point which I found intuitively plausible. If you ever find a source that does take a similar approach, please let me know!
Hi, Thanks for the amazing presentation. I had a question. What do you mean by non-classical light? Any quantum state of light other than the coherent states?
@SanderKonijnenberg
4 жыл бұрын
Non-classical light is light that cannot be described using classical theory. Indeed, coherent states can be described classically, but also thermal states can be described classically. Any state of light which has a correlation function for which G^(2)(tau=0)
Great!
dude, what is your tool stack for making these videos? meaning what software do you use? Thanks
wow