Cthugha
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DevilsAvocado said:Okay... interesting... but if I got this right; the entanglement does not affect the outcome at D0 one bit, right? So what’s in fact is 'delayed' is the choice to measure "which path", or not, in "cloned twin beam", right?
If I understand this right, non-locality is not the crucial thing here, but a "clone copy" of the signal beam, right?
Well, entanglement has two main effects. One is that that the two entangled particles do indeed bahave like cloned copies (or shifted copies or whatever one likes to call it) with the main point being that you can tell what the entangled partner will do if you know what the first particle does. The second point in entanglement is that these properties are not imprinted from the beginning in a hidden variable-like fashion, but the state of both is fixed when the first measurement occurs which implies nonlocality. The latter is what is tested in Bell tests.
So for the experimental outcome it is in fact only the first property which matters. There is information that can only be accessed when detecting both entangled particles and "matching up". Non-locality does not really matter in terms of the outcome, but in terms of the interpretation of the results. For example the standard DCQE experiment could be changed such that the delay between detections of signal and idler becomes large and one could perform the measurements in such a fashion that Bell inequalities are tested.
DevilsAvocado said:Why do we get a mixture of interference/non-interference pattern in D0? What causes it? There’s no "flip-flopping gate" at the double slit, is it? I don’t get it? In a normal experiment we would get an interference pattern or no interference pattern, not both, right??
In a normal double slit experiment the pattern you will see depends on the geometry of your experiment. If your light source is for example not exactly centered between the two slits, you will get a slightly different pattern as the distances between the source and the two slits are now different. As you move the source around, you will get different patterns. So if you now place several light sources at different positions you will now get a superposition of all of these patterns. If you have enough sources the superposition will be no pattern at all. This is foe example the same reason why the interference pattern disappears in a common double slit experiment if you place your light source too close to the slits. It will then reappear as you increase the distance between the slits and the source.
Now in the DCQE you have a similar setting (I am referring to figure one in the paper by Kim, Kulik, Shih and Scully). You have two atoms A and B placed at the slits which could emit entangled photon pairs. This process is completely random and one cannot distinguish from which atom some certain phton pair comes (unless you have detections at D3/D4). However, the two atoms are not synchronized. The phase of the light fields emitted from the two atoms is pretty much random with respect to each other and it also fluctuates randomly. This is pretty much like having a like source emit a single photon in the common double slit experiment and then moving it somewhere else, emitting another photon, etc which will add up to no interference pattern at all. However, if you note the position of the source for each photon and afterwards just pick a subset of detections corresponding to the source being at the same position, you will find some pattern. If you pick a different subset corresponding to a different position, you will find some different pattern.
In DCQE the position of the peaks in the double slit pattern will depend on the relative phase between the fields emitted by the atoms, so you do not see a single interference pattern, but a superposition of many which add up to no interference pattern. However, you can find any of these interference patterns by just picking those detections that correspond to some phase difference between the fields. That picking is now done using the other entangled partner. Depending on the relative phase that partner is more likely to be detected at D1 or D2, so you get a fringe/antifringe pattern when the coincidence counts D0/D1 or D0/D2 are considered.