论文标题
量子混乱和时间的箭头
Quantum chaos and the arrow of time
论文作者
论文摘要
我们表明，量子混沌多体系统具有热力学极限的热力学箭头。贝瑞在量子混沌系统中的猜想和合奏的等效性暗示着扰动理论中领先秩序的第二种热力学定律的开尔文陈述。我们使用数值计算来验证此结果。我们还表明，这引起了特征态热假说（ETH）陈述中对非对角线术语的新约束。我们将新约束称为ETH-ONOTONONOCONITY。这些约束之所以出现，是因为纯熵考虑不足以使时间的热力学箭头的出现。
We show that quantum chaotic many-body systems possess the thermodynamic arrow of time in the thermodynamic limit. Berry's conjecture in quantum chaotic systems and equivalence of ensembles imply the Kelvin statement of the second law of thermodynamics at leading order in perturbation theory. We verify this result using numerical calculations. We also show that this gives rise to new constraints on the off-diagonal terms in eigenstate thermalization hypothesis (ETH) statement. We call the new constraints collectively as ETH-monotonicity. These constraints arise because pure entropic consideration is not enough for the emergence of the thermodynamic arrow of time.
