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Hi Evanb, I am an author of the paper. Formally speaking, the phenomenon we studied resembles a second l-order phase transition similar to those in ferromagnet
by lucaambrogioni 3y ago
Hi Evanb,
I am an author of the paper. Formally speaking, the phenomenon we studied resembles a second l-order phase transition similar to those in ferromagnetic materials.
Keep in mind though that there are differences white conventional thermodynamics. The most obvious one is that stricktly speaking, Theta cannot be interpreted as a temperature.
Si said, the transition in the 1d example is almost identical to the mean field transition of the ising model (not surprising, it breaks the same symmetry group)
No we didn't derive the critical exponents jet but we plan to do this kind of research in the future.
- evanb 3y agoDo you really know it breaks Z2 rather than something else? There are plenty of symmetry breaking patterns that correspond to observables which go from <x^2> = 0 to (<x^2> ≠ 0 and <x> = ±some mean if you don't tunnel enough). If it really breaks Z2 and falls into the Ising universality class then you should be able to predict [read: look up] some of the critical exponents before measuring them.
- lucaambrogioni 3y agoThe 1d example certainly breaks Z2, but since the thermodynamics is slightly different, you need to careful. For example, several exponents regulate the scaling with respect to the temperature, but theta is not, strictly speaking, a temperature parameter. We need to do the calculations see.