Domain-wall melting in the spin-$1/2$ XXZ spin chain: emergent Luttinger liquid with fractal quasi-particle charge

Mario Collura, Andrea De Luca, Pasquale Calabrese +1

In spin chains with local unitary evolution preserving the magnetization $S^{\mathrm{z}}$, the domain-wall state $\left| \dots \uparrow \uparrow \uparrow \uparrow \uparrow \downarrow \d…