拓断层量子相位过渡通过调整精确的电张器网络状态.
Guo-Yi Zhu1, Ji-Yao Chen2,3, Peng Ye2,4
1Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, 50937 Cologne, Germany.
Physical review letters
|June 9, 2023
概括
研究人员使用张量网络研究了Z_N断层模型,揭示了新的量子相位过渡. 这些过渡,包括超越标准理论的连续过渡,为量子纠和拓秩序提供了洞察力.
科学领域:
- 量子多体物理学 量子多体物理学
- 凝聚物质理论 凝聚物质理论
- 关于物质的拓阶段
背景情况:
- 间隙分子阶段概括了量子系统中的拓秩序和纠.
- 通过分析或数值来描述这些阶段是具有挑战性的.
- X-立方体模型是碎形相的一个原型例子.
研究的目的:
- 为了研究一个Z_N概括的X-立方体碎形模型.
- 为了研究不同拓状态之间的量子相位过渡.
- 探索这些模型在大N极限中的行为.
主要方法:
- 精确的3D量子张量子网络方法.
- 完全可以处理的波函数变形.
- 将量子状态映射到经典的格子尺理论和板块时钟模型中.
- 数字计算纠顺序参数.
主要成果:
- 对于Z_N模型,发现了一个弱的第一阶段断裂子限制过渡的家族.
- 这些转换汇聚到一个连续的相位过渡超越兰道-金兹堡-威尔逊范式,因为N接近无限.
- 发现了一条带有临界磁流循环波动的3D合规量子临界点的线.
- 在N→∞极限中,这些临界点似乎与一个没有间隙的无界分子状态共存.
结论:
- 这项研究为分离阶段提供了一个新的分析和数值框架.
- 断层封闭过渡表现出超出传统兰道-金兹堡-威尔逊理论的行为.
- 这些发现揭示了新的量子临界点类型和3D无间隙的断裂子状态.
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