量子混沌与时间箭头
量子物理
2025-10-02 v12 统计力学
高能物理 - 理论
摘要
我们证明量子混沌多体系统在热力学极限下具有热力学时间箭头。量子混沌系统中的 Berry 猜想与系综等价性在微扰论领头阶隐含了热力学第二定律的 Kelvin 表述。我们通过数值计算验证了这一结果。我们还表明这给本征态热化假设(ETH)表述中的非对角项带来了新的约束。我们将这些约束统称为 ETH-单调性。这些约束的出现是因为单纯的熵考虑不足以使热力学时间箭头涌现。
引用
@article{arxiv.2212.03914,
title = {Quantum chaos and the arrow of time},
author = {Nilakash Sorokhaibam},
journal= {arXiv preprint arXiv:2212.03914},
year = {2025}
}
备注
$\bar{E}_{\beta}$ newly defined for the crucial equations (3.10), (3.11), (3.13) and (3.14). The earlier notation in previous versions could be a source of confusion. Figure 7 has been changed after debugging a minor bug in the code, the inference from Figure 7 remains same. Other minor changes also made. Mathematica codes added as ancillary files