Measurement and Feedback Driven Entanglement Transition in the Probabilistic Control of Chaos
Measurement and Feedback Driven Entanglement Transition in the Probabilistic Control of Chaos
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混沌概率控制中测量和反馈驱动的纠缠转变
DOI：
10.1103/physrevlett.131.060403
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发表时间：
2023
影响因子：
8.6
通讯作者：
Wilson, Justin H.
中科院分区：
文献类型：
--
作者：
Iadecola, Thomas;Ganeshan, Sriram;Pixley, J. H.;Wilson, Justin H.
我们发现了一个动态的纠缠跃迁的监测量子系统，预示着一个本地序参数。传统上，混沌系统可以被随机控制到不稳定的周期轨道上，并表现出受控和不受控的相位作为施加控制的速率的函数。我们表明，这样的控制过渡坚持在开放的量子系统中，控制与本地测量和酉反馈。从一个简单的经典模型与已知的控制过渡，我们定义了一个量子模型，表现出一个扩散之间的混沌体积定律纠缠相和一个解纠缠控制相的过渡。与监控量子电路中的其他纠缠跃迁不同，这种跃迁也可以通过相关函数来探测，而无需解析单个量子轨迹。
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. Unlike other entanglement transitions in monitored quantum circuits, this transition can also be probed by correlation functions without resolving individual quantum trajectories.