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arXiv 2408.14549cond-mat.mes-hallcond-mat.str-elquant-ph
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用于模拟时钟模型的约瑟夫森结链工程设计

Engineering a Josephson junction chain for the simulation of the clock model

Matteo M. Wauters, Lorenzo Maffi, Michele Burrello

AI总结:

该研究设计了可映射为$\boldsymbol{\text{Z}}_3$时钟模型的约瑟夫森结阵列结构,通过矩阵乘积态模拟与玻色化分析验证了用少量实验可控参数探索低能场论丰富相图的可行性,拓展了约瑟夫森结阵列在模拟量子模拟领域的应用范围。

摘要:

制造技术与高质量半导体-超导体界面的持续改进,让约瑟夫森结阵列(JJA)获得了前所未有的可调性,使其成为多体现象模拟量子模拟的极具潜力的候选平台。尽管目前大多数实验方案都聚焦于二能级系统系综的量子模拟,但将电流-相位关系调控到正弦区间之外的可能性,为研究具有更大局域希尔伯特空间的统计物理模型铺平了道路。本文中,我们研究了一种可映射为$\boldsymbol{\text{Z}}_3$时钟模型的特定JJA结构。通过矩阵乘积态模拟与玻色化分析,我们表明,少数实验上可获取的控制参数就能够用于探索相关低能场论的丰富相图。我们的结果拓展了基于JJA的模拟量子模拟的研究边界,使其可覆盖量子比特架构无法有效模拟的模型。

英文摘要:

The continuous improvement of fabrication techniques and high-quality semiconductor-superconductor interfaces allowed for unprecedented tunability of Josephson junction arrays (JJA), making them a promising candidate for analog quantum simulations of many-body phenomena. While most experimental proposals so far focused on quantum simulations of ensembles of two-level systems, the possibility of tuning the current-phase relation beyond the sinusoidal regime paves the way for studying statistical physics models with larger local Hilbert spaces. Here, we investigate a particular JJA architecture that can be mapped into a $\mathbb{Z}_3$ clock model. Through matrix-product-states simulations and bosonization analysis, we show that few experimentally accessible control parameters allow for the exploration of the rich phase diagrams of the associated low-energy field theories. Our results expand the horizon for analog quantum simulations with JJAs towards models that can not be efficiently captured with qubit architectures.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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