没有平衡的全计数统计和对称度解决的纠,来自时空二元性.
Bruno Bertini1,2, Pasquale Calabrese3,4, Mario Collura3
1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
Physical review letters
|October 20, 2023
概括
量子系统中的全计数统计 (FCS) 和充电时刻揭示了超出平均值的系统信息. 发现的时空二元性简化了它们的不平衡动态,特别是在交互的可整合模型中.
科学领域:
- 量子力学就是量子力学.
- 统计物理学的统计物理.
- 凝聚物质理论 凝聚物质理论
背景情况:
- 量子测量产生了结果分布,而不是单个值.
- 全计数统计 (FCS) 和充电时刻提供了比平均可观测数据更深入的见解.
- 这些统计数据描述了具有全球对称性的系统中的纠.
研究的目的:
- 在U(1) 对称系统中研究量子火后的FCS和充电瞬间的时间演变.
- 探索这些量在有限区域和大尺度上的行为.
- 开发方法来确定非平衡量子力学中的FCS和充电时刻.
主要方法:
- 分析U(1) 在灭后有限区域的电荷演变.
- 应用大偏差理论来描述FCS和充电时刻.
- 利用时空二元性来实现平衡外的动态.
- 为交互的可整合模型引出精确表达式.
主要成果:
- FCS和充电时刻表现出不同的时间模式:长时间的静止状态和短时间的时间依赖行为.
- 时空二元性将领先的不平衡顺序与时空交换系统中的静止值联系起来.
- 对于FCS和充电时刻的确切表达式是为了交互的可整合模型而得出的.
- 衍生的表达式与量子细胞自动机和自旋链的已知结果进行了验证.
结论:
- 这项研究提供了一种新的方法来理解使用时空二元性的非平衡量子动力学.
- 这些发现提供了FCS的一般性质和充电时刻脱离平衡.
- 获得的精确表达式对于分析复杂的量子多体系统至关重要.
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