Dynamical entanglement transition in the probabilistic control of chaos

Understand

We uncover a dynamical entanglement transition in a monitored quantum system that is heralded by a local order parameter.

• Classically, chaotic systems can be stochastically controlled onto unstable periodic orbits and exhibit controlled and uncontrolled phases as a function of the rate at which the control is applied.
• We show that such control transitions persist in open quantum systems where control is implemented with local measurements and unitary feedback.
• Starting from a simple classical model with a known control transition, we define a quantum model that exhibits a diffusive transition between a chaotic volume-law entangled phase and a disentangled controlled phase.