论文标题
在经典的混乱多体系统中测量引起的相变
Measurement-induced phase transition in a classical, chaotic many-body system
论文作者
论文摘要
量子系统中的局部测量是射影操作，可以抵消量子纠缠的传播。最近的工作表明，适用于生成多体系统的通用体积法纠缠的局部随机测量值能够迫使过渡到区域律阶段。这项工作表明，投射操作也可以迫使类似的经典相位过渡。我们表明，混乱系统中的本地预测可以冻结信息动态。与测量引起的相变的粗略类比，这是没有信息传播而不是纠缠熵的特征。我们利用经典过渡的损伤模型来预测系统的蝴蝶速度，均接近和远离过渡点。我们绘制了整个相图，并表明临界点因本地预测而移动，但仍在定向的渗透通用类中。我们讨论对其他古典混沌多体系统的影响。
Local measurements in quantum systems are projective operations which act to counteract the spread of quantum entanglement. Recent work has shown that local, random measurements applied to a generic volume-law entanglement generating many-body system are able to force a transition into an area-law phase. This work shows that projective operations can also force a similar classical phase transition; we show that local projections in a chaotic system can freeze information dynamics. In rough analogy with measurement-induced phase transitions, this is characterized by an absence of information spreading instead of entanglement entropy. We leverage a damage-spreading model of the classical transition to predict the butterfly velocity of the system both near to and away from the transition point. We map out the full phase diagram and show that the critical point is shifted by local projections, but remains in the directed percolation universality class. We discuss the implication for other classical chaotic many-body systems.
