Scrambling unitary dynamics in a quantum system transmutes local quantum information into a nonlocal web of correlations which manifests itself in a complex spatiotemporal pattern of entanglement. In such a context, we show there can exist three distinct dynamical phases characterized by qualitatively different forms of quantum correlations between two disjoint subsystems of the system. Transitions between these phases are driven by the relative sizes of the subsystems and the degree scrambling that the dynamics effects. Besides a phase which has no quantum correlations as manifested by vanishing entanglement between the parts and a phase which has nontrivial quantum correlations quantified by a finite entanglement monotone, we reveal a new phase transition within the entangled phase which separates phases wherein the quantum correlations are invisible or visible to measurements on one of the subsystems. This is encoded in the qualitatively different properties of the ensemble of states on one of the subsystems conditioned on the various measurement outcomes on the other subsystem. This provides a new characterization of entanglement phases in terms of their response to measurements instead of the more ubiquitous measurement-induced entanglement transitions. Our results have implications for the kind of tasks that can be performed using measurement feedback within the framework of quantum interactive dynamics.

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• Dynamical phase transitions
• Entanglement entropy
• Entanglement measures
• Information scrambling
• Quantum circuits
• Quantum correlations in quantum information
• Quantum entanglement
• Quantum measurements
• Quantum phase transitions
• Floquet systems
• Quantum many-body systems
• Quantum spin chains
• Random matrix theory
• Statistical methods