在开放系统中检测量子异常
Yunlong Zang1, Yingfei Gu2, Shenghan Jiang1
1<a href="https://ror.org/01kv3wg35">Kavli Institute for Theoretical Sciences</a>, <a href="https://ror.org/05qbk4x57">University of Chinese Academy of Sciences</a>, Beijing 100190, China.
Physical review letters
|September 20, 2024
概括
这项研究揭示了如何在开放的量子系统中检测到量子异常,特别是混合't Hooft异常. 半整数旋转链表现出独特的拓现象,可以通过特定的测量来检测.
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
- 高能物理 高能物理
背景情况:
- 对称性和量子异常是理解量子多体系统的关键.
- 它们的应用仅限于封闭的量子系统,不包括密度矩阵描述的开放系统.
研究的目的:
- 引入一种新的,实验上可行的方法来检测开放量子系统中的量子异常.
- 为了证明混合't Hooft异常在开放系统中区分半整数和整数旋转链.
主要方法:
- 使用测量 exp ((iθS_{tot}^{z}) 作为与环境合的旋链的 θ 的函数.
- 为分析开发一个格子级的时空旋转.
- 使用矩阵产品密度运算符和转移矩阵形式主义.
主要成果:
- 旋转旋转和格子转换对称之间的混合't Hooft异常为半整数和整数旋转链提供了不同的签名.
- 半整数旋转链表现出类似于封闭系统中的"水平交叉"的拓现象.
- 分析和数值方法证实了 exp ((iθS_{tot}^{z}) 对半整数旋转链的奇异行为.
结论:
- 这项工作将量子异常的讨论扩展到开放的量子系统.
- 它为在没有哈密尔顿式的系统中分析诸如光谱流和流量线程等概念提供了一个框架.
- 这些发现为在现实,开放的系统中探测量子现象提供了新的途径.
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