I assumed that photon is an elementary particle.
I assumed that photon is an elementary particle.
Here's a video of Sean Carroll talking about it, roughly 28:00-33:00.
As well as linear and angular momentum. The latter is the most important quantities for quantum optics because that is what produces polarization correlations.
(I don't like "absorbing". They use probably a non linear crystal, and the transformation is probably not in a single spot. I'm not sure about the details, but probably the photon slowly disappear while the photon is traveling inside the crystal, and at the same time the other three photons slowly apear. This must be interpreted as probabilities of seen the original photons or the new three photons at the other end of the crystal. You can't have half a photon, only a 50% probability of seeing a whole photon. This explanation has too many weird things and handwaving ... just use "destroying" instead of "absorbing". More info https://en.wikipedia.org/wiki/Spontaneous_parametric_down-co... )
I think that there is no meaningful difference between these two descriptions. (IANAP.)
If you produce 2 entangled photons, and then split one of them again, do you end up with three mutually-entangled photons?
The answer to that is: yes.
The next obvious question then is: what then is the big deal about producing three mutually entangled photons? And the answer to that is that spontaneous parametric down conversion is very sensitive to the wavelength/frequency of the input light. You can't just throw in any old photon and split it. It has to be a very specific wavelength for the process to work, so as a practical matter it is nearly impossible to do the two-step process that you've asked about.
I've mentioned this recently in another thread but I'm pretty sure E=hf is hiding information and the units of plancks constant are wrong.
I think the equation should be
E=htf where h is in Joules/oscillation (quanta of energy) t is measure time and f is osillations/second.
Check out Juliana H.J Mortensen's work.
The upshot is that in this model, every oscillation of light carries the same energy regardless of frequency. This supports wave particle duality even more so than the current model, and takes the uncertainty out of the uncertainty principle.
https://img1.wsimg.com/blobby/go/e266e5e7-739c-437c-89c3-eed...