Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-08-20
Physics
Condensed Matter
Other Condensed Matter
4 pages
Scientific paper
Suppose one engineers an artificial antiferromagnet on an array of {\em isolated} wells, and then increases the tunneling between wells slowly, will the system finally become an {\em equilibrium} antiferromagnet? Here, we show that due to the intrinsic non-adiabaticity at the start of this process, and that the atoms in the initial state in different wells are completely uncorrelated, the final equilibrium state will have a temperature $T_{f}$ far above the Neel temperature. Constructing other strongly correlated states (with characteristic energy per particle $E^{\ast}$ comparable to the hopping or the virtual hopping scale) with the same method will suffer the same problem, i.e. $T_{f}>>E^{\ast}$.
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