相互作用超导量子比特中关联无序诱导的多体局域化
Many-Body Localization Induced by Correlated Disorder in Interacting Superconducting Qubits
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中文总结 AI 辅助
本文研究关联无序与非局域相互作用下超导传输子网络的量子动力学，证明多体局域化相对关联具有鲁棒性，为复杂量子网络拓扑的局域化研究及多量子比特处理器设计提供框架。
中文摘要 AI 辅助
多体局域化（MBL）导致的量子热化失效，已从自旋链中的理论概念发展到合成量子平台（尤其是基于传输子（transmon）量子比特的超导电路）中的实验现实。尽管其意义重大，但MBL相变的研究主要集中在纯随机无序和局域耦合下，更复杂、更现实的构型在很大程度上尚未被探索。本文研究受关联无序与网络介导的非局域相互作用这一不可避免的竞争效应影响的传输子网络的量子动力学：首先，展示如何设计量子硬件的物理参数，以系统地控制系统中出现的关联无序模式；随后，证明MBL相对此类关联具有鲁棒性，这对在现实传输子器件中调控局域化特性至关重要。该鲁棒性通过对不同无序实现下的块纠缠熵方差分析得以确立，该分析可精确定位MBL临界点。此外，本文引入一个局域记忆参数，其在长时间演化下的动力学揭示了局域相中的记忆保留特性，并得到与熵分析一致的临界点。这些结果为理解复杂量子网络拓扑中的局域化提供了框架，对多量子比特处理器设计具有潜在意义。
英文摘要
The failure of quantum thermalization due to Many-Body Localization (MBL) has evolved from a theoretical concept in spin chains to an experimental reality in synthetic quantum platforms, most notably superconducting circuits based on transmon qubits. Despite its significance, the MBL transition has been studied primarily under purely random disorder and local couplings, leaving more complex and realistic configurations largely unexplored. Here, we investigate the quantum dynamics of transmon networks subject to the unavoidable competing effects of correlated disorder and network-mediated non-local interactions. First, we show how to engineer the physical parameters of the quantum hardware to systematically control the correlated disorder patterns emerging in the system. Then, we demonstrate that the MBL phase transition is robust against such correlations, which is essential for tuning localization properties in realistic transmon devices. This robustness is established through the analysis of the block entanglement entropy variance across disorder realizations, which precisely locates the MBL critical point. Independently, we introduce a local memory parameter, whose dynamics at long evolution times reveals memory retention in the localized phase and yields a critical point consistent with the entropy analysis. These results provide a framework for understanding localization in complex quantum network topologies, with potential implications for multi-qubit processor design.
