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Updated: Jun 12, 2025

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波动分散定理和纠动力学在一个一个维的低密度的杰恩斯-库明斯-哈伯德模型在一个灭后
Qing Li1, Jin-Lou Ma2, Lei Tan3
1School of Jia Yang, <a href="https://ror.org/0331z5r71">Zhejiang Shuren University</a>, Shaoxing, Zhejiang 312028, China.
Physical review. E
|September 19, 2024
概括
杰恩斯-库明斯-哈伯德模型显示量子混乱,即使在微弱的道. 这种独特的非可整合模型在纠和波动分散定理有效性方面表现出令人惊的行为.
科学领域:
- 量子物理学的量子物理学
- 凝聚物质理论 凝聚物质理论
- 统计力学就是统计力学.
背景情况:
- 固态热化假设 (ETH) 控制了量子系统中的热化.
- 一维低密度的杰恩斯-库明斯-哈伯德 (JCH) 模型为研究量子混乱提供了一个平台.
- 了解不可集成的系统对于量子热力学至关重要.
研究的目的:
- 在不同的参数制度下,研究ETH在JCH模型中的有效性.
- 探索JCH模型的弱道极限中的量子混沌特性.
- 分析JCH模型的不平衡动力学和热化行为.
主要方法:
- 对可比的道和合强度的ETH有效性的分析证明.
- 纠和动能运算子缩放规律的数值分析.
- 调查不平衡动力学,波动分散定理 (FDT) 的有效性和忠实性的演变.
主要成果:
- 当道和合强度相同时,ETH是有效的.
- 在弱道极限的纠和动能缩放中观察到意想不到的量子混乱性质.
- 在弱道极限中的JCH模型在从混乱状态灭后达到平衡,证实了其不可整合的性质.
结论:
- 在弱道极限处的低密度JCH模型是不可整合的,表现出独特的量子混沌特征.
- 在JCH模型中,FDT有效性和纠的演变揭示了与一般非可整合系统的区别.
- 这项研究引入了一个有趣的不可集成模型,促进了对量子混乱和热化的理解.
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