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Measurement-driven transitions between extensive and sub-extensive scaling ofthe entanglement entropy receive interest as they illuminate the intricatephysics of thermalization and control in open interacting quantum systems.Whilst this transition is well established for stroboscopic measurements inrandom quantum circuits, a crucial link to physical settings is its extensionto continuous observations, where for an integrable model it has been shownthat the transition changes its nature and becomes immediate. Here, wedemonstrate that the entanglement transition at finite coupling persists if thecontinuously measured system is randomly nonintegrable, and show that it issmoothly connected to the transition in the stroboscopic models. This providesa bridge between a wide range of experimental settings and the wealth ofknowledge accumulated for the latter systems.

Universality of entanglement transitions from stroboscopic to continuous measurements