接近通过格子传输的缩放极限,具有脱相
Subhajit Sarkar1,2,3,4, Gabriela Wójtowicz1,2,5,6, Bartłomiej Gardas7
1Institute of Theoretical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland.
The Journal of chemical physics
|September 15, 2025
概括
研究人员开发了一种高效的方法来分析复杂的晶格系统,其中包括脱相和放松,从而实现更大规模的模拟,并揭示了对相变的洞察力.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 量子信息科学 量子信息科学
- 统计力学 统计力学
背景情况:
- 在开放的量子系统和运输现象中,马科维的脱相和放松至关重要.
- 使用这些过程分析大型格子系统在计算上具有挑战性.
研究的目的:
- 开发一种有效的方法来解决静态方程在网格与一般化的马科夫脱相和放松.
- 为了实现大规模的模拟和精确分析物理现象,如超扩散.
主要方法:
- 在二次哈密尔顿系统中为单粒子相关性矩阵导出闭式方程.
- 开发了一个向量化解决方案,与莱普诺夫方程不同,用于高效的计算.
- 应用了该方法来研究超扩散到扩散转换在具有远程跳跃的格子中.
主要成果:
- 这种高效的解决方案允许对最多10^4个站点的格子进行计算,改进10-40倍.
- 实现了扩散指数的精确提取,显示了与理论预测的增强一致.
- 提供了支持研究格子系统中相变存在的证据.
结论:
- 开发的方法为模拟复杂的量子系统提供了重大进步.
- 它适用于涉及马科夫过程的各种问题,包括量子网络和容器计算.
- 这些发现有助于更深入地了解扩展系统中的运输现象和相位过渡.
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