Diffusion models suffer critical slowing down when sampling near criticality in the O(n) model but deeper local architectures reduce training-time scaling from quadratic to logarithmic in system size.
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Mean-field theory with Gutzwiller ansatz reveals antiferromagnetic Mott insulators, ferromagnetic density waves, three supersolids, and NOON density waves for spinor bosons in cavity lattices, with a trapped-system phase diagram.
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The critical slowing down in diffusion models
Diffusion models suffer critical slowing down when sampling near criticality in the O(n) model but deeper local architectures reduce training-time scaling from quadratic to logarithmic in system size.
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Mean-field phase diagrams of spinor bosons in an optical cavity
Mean-field theory with Gutzwiller ansatz reveals antiferromagnetic Mott insulators, ferromagnetic density waves, three supersolids, and NOON density waves for spinor bosons in cavity lattices, with a trapped-system phase diagram.