For chaotic, translation-invariant, nearest-neighbor open spin-1/2 chains with strong magnetization conservation and local detailed balance, the spin-diffusion Onsager coefficient is bounded below by a strictly positive expression exactly when incoherent jumps transport spin.
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Rigorous bound on hydrodynamic diffusion for chaotic open spin chains
For chaotic, translation-invariant, nearest-neighbor open spin-1/2 chains with strong magnetization conservation and local detailed balance, the spin-diffusion Onsager coefficient is bounded below by a strictly positive expression exactly when incoherent jumps transport spin.