论文标题

由于反馈引起的皮肤效应而没有测量引起的纠缠过渡

Absence of measurement-induced entanglement transition due to feedback-induced skin effect

论文作者

Wang, Yu-Peng, Fang, Chen, Ren, Jie

论文摘要

量子多体系统受统一进化和重复的局部测量,速度越来越多,经历了测量引起的纠缠范围从广泛(或延伸)到区域法律熵缩放率的过渡。我们发现,在“广义监测”下的某些开放边界系统,包括“投影监测”和有条件的反馈,在边缘上显示异常的后期粒子浓度,让人联想到非炎症系统中的“皮肤效应”。这种反馈引起的皮肤效应将抑制纠缠的产生,从而使系统短距离纠缠而没有测量引起的纠缠过渡。虽然最初出现在非相互作用模型中,但这种皮肤效应也可能发生在混乱的相互作用系统和经过随机普遍测量的浮量量子电路中。由于皮肤效应的动力学不需要后选择,并且可以在颗粒数水平上观察到,因此该现象在实验中相关且在嘈杂的中间尺度量子平台(例如被困离子)中可访问。

A quantum many-body system subject to unitary evolution and repeated local measurements with an increasing rate undergoes a measurement-induced entanglement transition from extensive (or subextensive) to area law entropy scaling. We find that certain open boundary systems under "generalized monitoring", consisting of "projective monitoring" and conditional feedback, display an anomalous late-time particle concentration on the edge, reminiscent of the "skin effect" in non-Hermitian systems. Such feedback-induced skin effect will suppress the entanglement generation, rendering the system short-range entangled without measurement-induced entanglement transition. While initially emerged in noninteracting models, such skin effect can also occur in chaotic interacting systems and Floquet quantum circuits subjected to random generalized measurements. Since the dynamics of the skin effect do not require post selection, and can be observed at the particle number level, the phenomenon is experimentally relevant and accessible in noisy intermediate-scale quantum platforms, such as trapped ions.

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