论文标题
测量诱导的超速气体中纠缠缩放定律的过渡和可控耗散的过渡
Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
论文作者
论文摘要
从理论上讲，量子电路模型的最新研究表明，频繁的测量诱导量子多体系统的过渡，其特征在于纠缠熵从体积定律变为区域定律的缩放定律的变化。为了提出一种实验观察这种测量诱导的过渡的方法，我们在耗散玻色块模型的淬灭动力学上使用矩阵 - 产物态进行了数值分析，具有可控的两体损失，这在最近具有超级原子的最新实验中已实现。我们发现，当耗散的强度增加时，在相对较小的耗散区域中，通过对数校正进行了测量诱导的从体积法缩放到区域法缩放的过渡。我们还发现，由于连续的量子zeno效应，强大的耗散导致体积法缩放的复兴。我们表明，从区域律状态开始的动力学表现出厄法态性的破坏，可用于将其与体积法态区分开的实验。
Recent studies of quantum circuit models have theoretically shown that frequent measurements induce a transition in a quantum many-body system, which is characterized by the change of the scaling law of the entanglement entropy from a volume law to an area law. In order to propose a way for experimentally observing this measurement-induced transition, we present numerical analyses using matrix-product states on quench dynamics of a dissipative Bose-Hubbard model with controllable two-body losses, which has been realized in recent experiments with ultracold atoms. We find that when the strength of dissipation increases, there occurs a measurement-induced transition from volume-law scaling to area-law scaling with a logarithmic correction in a region of relatively small dissipation. We also find that the strong dissipation leads to a revival of the volume-law scaling due to a continuous quantum Zeno effect. We show that dynamics starting with the area-law states exhibits the breaking of ergodicity, which can be used in experiments for distinguishing them from the volume-law states.
