简单排除过程动态中的拓阶段
Juan P Garrahan1,2, Frank Pollmann3,4
1School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
Physical review. E
|April 18, 2024
概括
我们探讨了随机对称简单排除过程 (SSEP) 中的动态大偏差. 罕见的长期轨迹揭示了不同的对称性保护拓 (SPT) 阶段,为复杂系统动态提供了新的见解.
科学领域:
- 统计力学 统计力学
- 凝聚物质物理学 凝聚物质物理学
- 动态系统 动态系统
背景情况:
- 随机对称的简单排除过程 (SSEP) 是统计力学的一个基本模型.
- 了解驱动系统中的大偏差和拓阶段对于复杂系统研究至关重要.
研究的目的:
- 为了研究经典SSEP的动态大偏差.
- 在SSEP轨迹中识别和描述对称性保护拓 (SPT) 阶段.
- 绘制大偏差相位图,了解活动和不平衡的作用.
主要方法:
- 数字矩阵的产物状态表示数值.
- 张量网络技术 张量网络技术
- 无限系统密度矩阵重规范化组 (iDMRG) 模拟.
- 动态活动和蜂不平衡的分析.
主要成果:
- 识别了半充满SSEP与不平衡活动的独特的SPT阶段.
- 构建了大偏差相位图,揭示了微不足道和非微不足道的SPT相位.
- 证明SPT阶段表现为罕见的随机轨迹.
- 开发了接近最佳的动态,用于采样大偏差.
结论:
- 在SSEP的动态大偏差可以导致新出现的SPT阶段.
- 该研究为理解驱动经典系统中的拓现象提供了一个框架.
- 结果可以扩展到其他填充分数和不对称的排除过程.
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