Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport

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D D is defined in terms of the real part of optical conductivity σ ′ ( ω ) = 2 π D δ ( ω ) + σ reg ( ω ) \sigma^{\prime}(\omega)=2\pi D\delta(\omega)+\sigma_{\rm reg}(\omega) and its strict positivity in TL signals the ballistic transport
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In fact, the argument becomes rigorous if one first performs TL n → ∞ n\to\infty and then the limit t → ∞ t\to\infty
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