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We construct exact steady states of unitary non-equilibrium time evolution in the gapless XXZ spin-1/2 chain where integrability preserves ballistic spin transport at long-times.
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With respect to the parameter u u introduced in [ 19 ] , we find more convenient to use the parameter α \alpha , defined by u = q s − α u=q^{s-\alpha} and focus on the neighborhood of α = 0 \alpha=0
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