Superballistic diffusion of entanglement in disordered spin chains
Joseph F. Fitzsimons, Jason Twamley · Physical Review A · 2005
We study the dynamics of a single excitation in an infinite $XXZ$ spin chain, which is launched from the origin. We study the time evolution of the spread of entanglement in the spin chain and obtain an expression for the second-order spatial moment of concurrence, about the origin, for both ordered and disordered chains. In this way, we show that a finite central disordered region can lead to sustained superballistic growth in the second-order spatial moment of entanglement within the chain.