For the Davies generator of the mean-field Heisenberg ferromagnet, the spectral gap is Theta(1) for beta<2 and Theta(1/n) for beta>2, with total magnetization as the slow observable.
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Spectral Gap of the Davies Generator for the Mean-Field Heisenberg Model
For the Davies generator of the mean-field Heisenberg ferromagnet, the spectral gap is Theta(1) for beta<2 and Theta(1/n) for beta>2, with total magnetization as the slow observable.