在多维的约瑟夫森连接网络中,热化减速
Gabriel M Lando1, Sergej Flach1
1Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, South Korea.
Physical review. E
|January 20, 2024
概括
我们发现了两种普遍的方法,约瑟夫森交叉网络减缓了热化. 这些制度取决于约瑟夫森合与能量密度的比率,影响混乱和保存量.
科学领域:
- 凝聚物质物理学 凝聚物质物理学
- 这是量子混沌.
- 统计力学 统计力学
背景情况:
- 了解热化对于量子系统至关重要.
- 约瑟夫森连接网络是研究复杂量子力学的关键模型.
- 之前的研究缺乏对多维网络中的热化进行全面分析.
研究的目的:
- 描述约瑟夫森连接网络中热化减速的情况.
- 识别统一类,在不同维度中管理这种现象.
- 分析合强度和能量密度在热化动态中的作用.
主要方法:
- 为大型网络 (数百个站点) 计算整个利亚普诺夫光谱.
- 对最大的利亚普诺夫指数的分析和重新缩放的频谱的拟合.
- 提取特征尺度:利亚普诺夫时间和光谱衰变指数.
主要成果:
- 确定了两个不同的热化减速的普遍性类别,取决于E_J/h的比率.
- 这些类的特点是不同差异的Lyapunov时间和光谱衰变.
- 弱合体制表现出普遍的关键指数和混乱与近乎保存的数量共存.
结论:
- 识别的普遍性类是独立于网络维度的.
- 研究结果表明,一种通用特征适用于不同的哈密尔顿系.
- 扰动理论解释了观察到的热化动态.
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