密度函数理论和量子相变的信息理论诊断
1Departamento de Física Atómica, Molecular y Nuclear and Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, Fuentenueva s/n, 18071 Granada, Spain.
Entropy (Basel, Switzerland)
|February 27, 2026
概括
密度函数理论 (DFT) 允许使用诸如忠实度等信息理论指标来制定量子相位过渡 (QPTs). 这些措施精确地诊断了像迪克模型这样的模型中的关键性,显示了随着系统大小的增强灵敏度.
科学领域:
- 量子物理学的量子物理学
- 计算化学是一种计算化学.
- 信息理论是信息理论.
背景情况:
- 密度函数理论 (DFT) 是一种量子力学建模方法,它使用电子密度作为基本的量子力学可观测量.
- 量子相转换 (QPT) 是量子系统在绝对零温度下基本状态属性的变化.
- 信息理论的测量提供了新的方法来探测量子现象.
研究的目的:
- 在密度函数理论 (DFT) 中制定量子相变 (QPT).
- 调查信息理论措施作为QPTs敏感诊断的实用性.
- 将这些方法应用于迪克模型并分析它们的性能.
主要方法:
- 使用哈密尔顿式与密度相关的控制参数,在DFT中制定QPT.
- 信息理论测量的应用:忠实度,费舍尔信息,雷尼和库尔巴克-莱布勒分歧.
- 对迪克模型进行数值分析,以评估这些近临界度指标的行为.
主要成果:
- 在小参数转移制度 (Rq≈qIKL≈2qχ(δλ) 中,信息理论措施被证明是成比例的2).
- 在迪克模型中,忠实度在临界点 (λc=ωω0/2) 呈现出显著的曲率或分歧.
- 这些测量对QPT的敏感性随着系统大小 (j) 的增加而增加.
结论:
- 信息理论措施为在DFT中诊断QPT提供了一个精确而敏感的框架.
- 信息测量和QPT之间的确立联系是稳固的,适用于复杂的量子模型.
- 这种方法为了解各种物理系统中的量子关键性提供了一个强大的工具.
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