Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model
We investigate the non-equilibrium dynamics of a one-dimensional spin-1/2 XXZ model at zero-temperature in the regime |\Delta|< 1 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false" form="prefix">|</mml:mo><mml:mi>Δ</mml:mi><mml:mo stretchy="false" form="prefix">|</mml:mo><mml:mo><</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math> , initially prepared in a product state with two domain walls i.e, |\downarrow\dots\downarrow\uparrow\dots\uparrow\downarrow\dots\downarrow \rangle <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false" form="prefix">|</mml:mo><mml:mo>↓</mml:mo><mml:mi>…</mml:mi><mml:mo>↓</mml:mo><mml:mo>↑</mml:mo><mml:mi>…</mml:mi><mml:mo>↑</mml:mo><mml:mo>↓</mml:mo><mml:mi>…</mml:mi><mml:mo>↓</mml:mo><mml:mo stretchy="false" form="postfix">⟩</mml:mo></mml:mrow></mml:math> . At early times, …