论文标题

量子信息在量子多体内疤痕系统中争夺

Quantum Information Scrambling in Quantum Many-body Scarred Systems

论文作者

Yuan, Dong, Zhang, Shun-Yao, Wang, Yu, Duan, L. -M., Deng, Dong-Ling

论文摘要

量子多体疤痕系统具有支持周期性复兴动态并弱打破过时性的特殊非热特征。在这里,我们研究了量子信息在量子多体疤痕系统中的争夺动力学,重点是“ PXP”模型。我们使用超时订购的相关器(OTOC)和孔波信息作为信息的量度,并应用基于矩阵产品运营商的有效数值方法来计算它们多达41次旋转。我们发现,OTOC和HOLVO信息都表现出线性光锥和光锥内的周期性振荡,用于疤痕子空间内的初始状态,该子空间与热或多体局部系统形成鲜明对比。 OTOC和HOLVO信息的周期性复兴表示量子混乱的异常崩溃,并不等于先前文献中研究的状态保真度或局部可观察到的复兴动态。为了解释线性光锥结构的形成,我们根据现象学模型提供了扰动型计算。此外,我们证明可以使用具有当前实验技术的Rydberg-Atom量子模拟器来测量“ PXP”模型的OTOC和HOLVO信息动力学,并使用实验参数识别可测量的签名。

Quantum many-body scarred systems host special non-thermal eigenstates that support periodic revival dynamics and weakly break the ergodicity. Here, we study the quantum information scrambling dynamics in quantum many-body scarred systems, with a focus on the "PXP" model. We use the out-of-time-ordered correlator (OTOC) and Holevo information as measures of the information scrambling, and apply an efficient numerical method based on matrix product operators to compute them up to 41 spins. We find that both the OTOC and Holevo information exhibit a linear light cone and periodic oscillations inside the light cone for initial states within the scarred subspace, which is in sharp contrast to thermal or many-body localized systems. The periodic revivals of OTOCs and Holevo information signify unusual breakdown of quantum chaos and are not equivalent to the revival dynamics of state fidelity or local observables studied in the previous literature. To explain the formation of the linear light cone structure, we provide a perturbation-type calculation based on a phenomenological model. In addition, we demonstrate that the OTOC and Holevo information dynamics of the "PXP" model can be measured using the Rydberg-atom quantum simulators with current experimental technologies, and numerically identify the measurable signatures using experimental parameters.

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