Disordered monitored free fermions

The authors investigate here the dynamics of free fermions in a random potential system under continuous monitoring. Repeated measurements are known to induce an entanglement phase transition from a logarithmically entangled critical state to area law, while disorder leads to Anderson localization. They show that their interplay results in a stable critical phase at finite disorder strength and dissipation, which drive a transition consistent with Berezinskii-Kosterlitz-Thouless universality. This work is important for testing such phase transitions in quantum dot arrays and nanowires.