在具有链接列表的二维格子系统中进行细粒度域计数和透分析
Hrushikesh Sable1,2,3, Deepak Gaur1,2, D Angom1,4
1Physical Research Laboratory, Ahmedabad 380009, Gujarat, India.
Physical review. E
|November 18, 2023
概括
我们开发了一种新的算法,用于在2D系统中进行集群识别和透分析. 这种方法准确地确定量子相变中的关键指数和相关长度,与理论预测保持一致.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子模拟的量子模拟
- 统计力学 统计力学
背景情况:
- 了解量子系统中的相变对于开发新材料和新技术至关重要.
- 透理论为分析无序系统中的连接性和关键现象提供了一个框架.
- 在光学网格中的玻色子系统为研究量子多体物理提供了一个可控制的平台.
研究的目的:
- 引入一个精细的算法,用于集群识别和透分析在2D网格系统.
- 应用这个算法来研究玻色子系统中的火动力学和相位过渡.
- 计算关键指数和与量子关键性相关的分数维度.
主要方法:
- 在单个扫描中开发基于链接列表的算法,用于在单个扫描中进行独特的集群标签.
- 应用算法来分析莫特绝缘体对二维光学网格中的超流体相变的分析.
- 使用透理论定义计算相关长度和临界指数.
主要成果:
- 该算法成功识别了集群,并在2D格子系统中进行了透分析.
- 火动态中的临界指数的结果与基布尔-祖雷克机制一致.
- 确定了玻璃玻璃到超流体过渡的量子临界点,并计算了临界指数和分形维度.
结论:
- 开发的算法是精细粒度集群分析和2D格子系统中的透研究的有效工具.
- 这些发现提供了对量子相位过渡和玻色子系统中的关键现象的见解.
- 这种方法有助于计算描述量子关键性和系统行为的关键参数.
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