Measurement-driven transitions between extensive and subextensive scaling of the entanglement entropy receive interest as they illuminate the intricate physics of thermalization and control in open interacting quantum systems. While this transition is well established for stroboscopic measurements in random quantum circuits, a crucial link to physical settings is its extension to continuous observations, where for an integrable model it has been shown that the transition changes its nature and becomes immediate. Here, we demonstrate that the entanglement transition at finite coupling persists if the continuously measured system is randomly nonintegrable, and show that it is smoothly connected to the transition in the stroboscopic models. This provides a bridge between a wide range of experimental settings and the wealth of knowledge accumulated for the latter systems.

中文翻译：

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从频闪到连续测量的纠缠跃迁的普遍性

纠缠熵的扩展和次扩展缩放之间由测量驱动的转换引起了人们的兴趣，因为它们阐明了开放相互作用的量子系统中热化和控制的复杂物理原理。虽然这种过渡对于随机量子电路中的频闪观测非常确定，但物理设置的关键链接是其扩展到连续观测，对于可积分模型，已证明该过渡会改变其性质并立即发生。在这里，我们证明了如果连续测量的系统是随机不可积分的，则有限耦合处的纠缠跃迁会持续存在，并表明它在频闪观测模型中与跃迁平滑连接。