通过Ancilla Anyon水库进行脱凝
Nayan Myerson-Jain1, Taylor L Hughes2, Cenke Xu1
1University of California, Santa Barbara, Department of Physics, California 93106, USA.
Physical review letters
|March 25, 2025
概括
我们使用2D Toric 代码研究拓秩序中的脱凝. 与任何离子的相互作用揭示了新的相关性,并在边界上局部化了Majorana零模式.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子信息理论 量子信息理论
- 拓学的量子物质
背景情况:
- 拓秩序表现出异国情调的特性,包括没有间隙的边界.
- 不连贯性是维护量子状态的一个关键挑战.
- 任何子是具有非微不足道的编织统计数据的准粒子.
研究的目的:
- 研究拓秩序中关键边界的脱凝机制.
- 为了理解ancillaanyons在边界脱凝中所扮演的角色.
- 分析不同anyon物种对边界属性的影响.
主要方法:
- 使用2D Toric代码作为一个模型系统.
- 扩展对称条件以测量脱凝的不变性.
- 将边界分区函数映射到有缺陷的2D关键Ising模型.
- 分析线路缺陷的相关性和边际性.
主要成果:
- 对e和m离子的相关线缺陷诱导了长距离的相关性.
- 函数的边际缺陷导致一条固定点的直线,其中的中心电荷各不相同.
- 在接口上出现Majorana零模式的脱凝同类.
- 观测到雷尼 entropy 的通用对数缩放.
结论:
- 任何子的性质决定了脱凝的动态和由此产生的边界相关性.
- 尺度不变性对于描述拓系统中的非连贯性至关重要.
- 该研究揭示了新的现象,如固定点线和局部Majorana模式由于脱凝.
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