Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition

Understand

We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and disordered Hamiltonian.

• We employ continuous measurements of variable strength to induce a transition from volume to area-law scaling of the steady-state entanglement entropy.
• While static background disorder systematically reduces the critical measurement strength, this critical value depends non-monotonically on the strength of non-static noise.
• According to the extracted fine-size scaling exponents, the universality class of the transition is independent of the noise and disorder strength.