# Why is low temperature required for optical lattice systems to enter magnetic regime?

"Optical lattice requires a very low temperature scale to enter magnetism regime."

Why is that?

What I know:

1. optical lattice systems suppress kinetic energy (hopping parameter: $t$ small);
2. superexchange is a second order process;
3. Therefore, the energy gap due to exchange will be small ($\Delta E\propto t^2$)

Is that the reason?

-
Please provide a reference for the quote you give. It will make answering your question much easier. –  Emilio Pisanty Dec 26 '12 at 9:45
e.g. in the abstract of arXiv:1212.2634 –  ChenChao Dec 26 '12 at 15:03