Percolation transition in the dynamics of quantum entanglement

July 25, 2019

In a recently-published paper in PRX, Adam Nahum, Jonathan Ruhman, and I show that the growth of entanglement in a quantum system with repeated measurements can be described via a mapping to classical percolation. The implication is that there is a critical measurement rate separating a "volume law" phase, where the entanglement grows with time until finally saturating at a value proportional to the system size, from an "area law" phase, in which the entanglement growth rate vanishes and the entanglement saturates at a size-independent constant.