@Venusian Broon , in their plots they get change of phase before the impulse - why somebody observing change of phase wouldn't receive information sent later?
So this is a question about where does the 'information' on a pulse reside. It is very tempting to think that the peak of a photon pulse is where this resides, but information on the arrival of the photon is obtainable before the peak arrives.
Thus I think the mistake here is to assume the above and also to think that the peak of the output wave is related to the peak of the input wave. Other experiments on such systems looking at this find that they are not linked. The peak of the output wave is a result of a response to an earlier input (See M. W. Mitchell and R. Y. Chiao, B Causality and negative group delays in a simple bandpass amplifier, [ Amer. J. Phys., vol. 66,no. 1, pp. 14–19, 1998. for example.)
In the original case you refer to a photon is actually going through a medium. Because of EM/Matter interactions it's leading edge is being amplified, and its 'backend' is being dampened or distorted, therefore changing the shape of pulse and altering the phase of the peak.
What is not happening is that they are picking up a output signal before an input signal is even sent in.
Personally what I think this all means is that if you are just waiting for a photon to register, looking at some output from such a device, you'd probably not be able to register the difference immediately between a photon that has received this change of phase and a photon that did not. To do so you'd need to make multiple measurements of multiple photons to plot out the actual shape of both sets of photons, which defeats any temporal gains.
I suppose you could argue, "why don't I increase the sensitivity of my photon meter so that I can pick up the shifted leading edge of my negative time photon?" But then you'll likely also be picking up much more noise and therefore would be have many more false positives and therefore not have a true signal.
In other settings like delayed choice quantum erasure, sending of information is forbidden due to postselection - which is also here, but due to use of impulses resembling single photons, what is not always successful - so what if using impulse resembling a thousand of photons?
Why increasing intensity would not just increase strength of the effect, just getting larger change of phase?
Yes I believe you can change the phase change depending on your experimental set up. They stated that they expected an imparted phase shift of between 10-20 micro rads (That's about 1e-3 degrees for those who are scratching their heads over the term rad!). Anyway there would be a maximum phase shift you can possibly get, namely 180 degrees That would shift the peak of the photon by half it's wavelength (I
think this is around about 780nm for the transition for Rubidium, but I may be wrong - anyway, not much!) Any more and you will start to return your photon back to its original state, and obviously the output signal would just look identical to the input signal if you shifted everything 360 degrees.
I fully admit that I don't know what is experimentally possible for phase changes from negative refractive indices. All the literature I see seems to suggest it's pretty small, as given above.
I believe that this phase change is not dependent on the intensity of the signal (and even if it was, if you pumped in a higher intensity and that increased the phase change, because the phase change is cyclical, you can only get a maximum when the set up coincides with the maximum change of 180 degrees as stated.)
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In this experiment, because they were probing what was happening to the transition times of Rubidium atoms and they were utilising something called the Kerr interaction to provide the necessary antistrophic effect from the Rubidium, they fired in a continuous stream of photon pulses each about 600 ns apart and because of the background noise they stated that it took them about 10 hours to collect enough date for 'a single set of parameters'. i.e. the Kerr interaction scatter was very weak. My guess is if you increased the signal intensity in this particular experimental set up would swamp the signal you were trying to measure. (?)
Furthermore with regards to the experiment, from their abstract they state: "Our results, over a range of pulse durations and optical depths, are consistent with the recent theoretical prediction that the mean atomic vexcitation time caused by a transmitted photon (as measured via the time integral of the observed phase shift) equals the group delay experienced by the light."
This is quite interesting because thinking of this whole process in a classical wave-like manner is not particularly fascinating - you are just changing the phase of an incoming wave and distorting it a little - but it raises the question on the quantum level, what is happening to the atom in it's excited state when the system is experiencing a negative group delay?