Superballistic Diffusion of Entanglement in Disordered Spin Chains
  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. 
J. Fitzsimons (1) and J. Twamley (1 and 2) ((1) National University of   Ireland Maynooth, Ireland, (2) Macquarie University...