论文标题
适应的Caldeira-Leggett模型中的平衡和“热化”
Equilibration and "Thermalization'' in the Adapted Caldeira-Leggett model
论文作者
论文摘要
我探讨了改编的Caldeira-Leggett（ACL）模型所展示的平衡过程，这是一种用于SHO和环境之间量子反应的数值研究的小型单一“玩具模型”。我证明了如何在多种情况下进行平衡。尽管有限的模型大小和其他“非物理”方面阻止了温度和热化的概念通常适用，但可以实现特定参数值的某些原始方面。我将观察到的行为与全球能量本征态的内在特性联系起来，并认为我观察到的现象包含的元素可能是导致更大更现实的系统中千古行为的关键要素。这项工作的动机范围从对ACL模型的早期计算中观察到的现象的好奇心到与平衡，热化和物理定律的出现有关的更大问题。
I explore the processes of equilibration exhibited by the Adapted Caldeira-Leggett (ACL) model, a small unitary "toy model" developed for numerical studies of quantum decoherence between an SHO and an environment. I demonstrate how dephasing allows equilibration to occur in a wide variety of situations. While the finite model size and other "unphysical" aspects prevent the notions of temperature and thermalization from being generally applicable, certain primitive aspects of thermalization can be realized for particular parameter values. I link the observed behaviors to intrinsic properties of the global energy eigenstates, and argue that the phenomena I observe contain elements which might be key ingredients that lead to ergodic behavior in larger more realistic systems. The motivations for this work range from curiosity about phenomena observed in earlier calculations with the ACL model, to much larger questions related to the nature of equilibrium, thermalization and the emergence of physical laws.
