We study the spreading of quantum correlations and information in a one-dimensional quantum spin chain with critical disorder encoded in an infinite randomness fixed point. Specifically, we focus on the dynamics after a quantum quench of the Rényi entropies, mutual information, and entanglement negativity in the prototypical XXZ spin chain with random bonds and anisotropy parameters. We provide analytic predictions in the scaling regime based on real-space renormalization-group methods. We support these findings through numerical simulations in the noninteracting limit, where we can access the scaling regime.

• Received 11 June 2022
• Accepted 11 October 2022

DOI:https://doi.org/10.1103/PhysRevB.106.134205