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"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?

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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

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