So am I right in thinking that they have "redefined" absolute zero?
Nope.
I'm not doubting you but,
To me, it looks like this "negative" absolute you say is more like higher than a low positive temperature and lower than infinite positive.
Unless in the negative state, you somehow have particles with higher energy than the ones you consider "high", and call that negative for some reason.
I could be wrong in my interpretation, but I have read a couple of articles about this on Physics sites quite carefully, and came to the conclusions I have been stating.
For example, this article:
http://phys.org/news/2013-01-atoms-negative-absolute-temperature-hottest.html#ajTabs
The title is "Atoms at negative absolute temperature: The
hottest systems in the world" (emphasis added).
This diagram is also a useful illustration (to me, at least):
The left image (or the "nearest" image) shows a positive temperature; the particles generally have a low energy, with some very slightly higher (the probability of a given particle having a low energy is high; the probability of a given particle having a high energy is low). The centre image shows an infinite (postive) temperature; there is an equal probability of every different energy level. The final image on the right (or "furthest") shows an absolute negative temperature; most particles have a high energy level, some very slightly lower (the probability of a given particle having a high energy is high; the probability of a given particle having a low energy is low).
As I'm sure you can understand, the negative temperature diagram is the inversion of the positive diagram. (The diagrams are Boltzmann energy distribution diagrams). A typical practice in the case of inversion is to change the sign; positive to negative. Hence the diagram with the red balls is called "negative".
And a quote from that article:
"The inverted Boltzmann distribution is the hallmark of negative absolute temperature; and this is what we have achieved," says Ulrich Schneider. "Yet the gas is not colder than
zero Kelvin, but hotter. It is even hotter than at any positive temperature – the temperature scale simply does not end at infinity, but jumps to negative values instead."
I guess if the scale were being defined now, it may be that what is now called infinity would be called zero, and we'd deal with negatives and positives in a more natural manner, with negatives being colder than positives (what we now call "positive" would of course be "negative" in that system, and vice versa). [Of course, the Celsius scale would have be shifted appropriately so that "real life" temperatures e.g. in weather forecasts etc. would still be relatively simple numbers.]
Another quote:
At first sight it may sound strange that a negative absolute temperature is hotter than a positive one. This is, however, simply a consequence of the historic definition of absolute temperature; if it were defined differently, this apparent contradiction would not exist.
Okay. I graduate college with a degree in English but even I can remember my high school chemistry class. By definition, absolute zero is the state where there is no heat which also means that there is no movement. There can be nothing colder than absolute zero.
Cold is only the lack of heat. If there is a little heat something will feel cold. If there is no heat then the temperature is absolute zero.
Correct. But as I've said numerous times in this thread now (sometimes with explanation), negative absolute temperatures are
not colder than absolute zero.