在克里洛夫基层探测局部化效应
J Bharathi Kannan1, Sreeram Pg1, Sanku Paul2
1Indian Institute of Science Education and Research, Department of Physics, Pune 411008, India.
Physical review. E
|November 18, 2025
概括
克里洛夫复杂性 (K-复杂性) 和阿诺尔迪系数揭示了量子转子中的各种量子局部化现象. 这些测量可以区分局部化类型,甚至可以检测局部化量子动态中的混乱开始.
科学领域:
- 量子物理学的量子物理学
- 这是量子混沌.
- 凝聚物质物理学 凝聚物质物理学
背景情况:
- 克里洛夫复杂性 (K-复杂性) 测量量子状态的复杂性和运算符的增长.
- 量子混沌是量子力学研究的一个关键领域.
- 量子转子 (QKR) 是探索量子混乱和局部化的模型系统.
研究的目的:
- 在量子转子 (QKR) 中调查各种局部化现象.
- 使用K复杂度和阿诺尔迪系数来分析量子状态复杂度和运算符增长.
- 区分不同类型的局部化,并检测混乱的开始.
主要方法:
- 在量子系统中应用K-复杂性分析.
- 使用阿诺尔迪系数来研究操作员动态.
- 在克里洛夫链上分析波函数演变.
- 在QKR模型中调查四种不同的本地化场景.
主要成果:
- 对于不同的本地化场景,K-复杂度和阿诺尔迪系数表现出不同的特征.
- K-复杂性和波函数演变的长期行为可以区分局部化类型.
- K-复杂性捕捉到本地化的程度和性质.
- 时间平均K复杂度和阿诺尔迪系数缩放区分了古典和量子定位效应.
- 阿诺尔迪系数揭示了即使在局部化量子力学中,混乱的出现.
结论:
- K-复杂性和阿诺尔迪系数是描述量子局部化和混乱的强大工具.
- 这些测量提供了对量子系统本地化驱动的基本机制的洞察.
- 这项研究促进了对像QKR这样复杂系统中的量子动力学的理解.
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