标题： 热力学极限的 Mpemba 效应：统一资源理论分析 显示英文标题

标题： Thermodynamic limits of the Mpemba effect: A unified resource theory analysis

摘要： Mpemba效应是一种反直觉的热力学现象，其中较热的系统比较冷的系统冷却得更快，在经典和量子系统中都观察到了这一现象。 然而，其基本机制仍未能得到充分理解。 在本信中，我们研究了经典和量子关联在量子资源理论框架内驱动异常弛豫行为的作用。 通过对局部热平衡的多量子比特系统的分析，我们确立了仅经典关联就可以引发Mpemba效应，而量子关联在特定能量简并条件下变得相关。 此外，我们证明了非马尔可夫记忆效应和希尔伯特空间维度在确定该效应表现的温度范围中起着关键作用。 最后，我们讨论了在水中观察到的原始异常冷却行为也可能源于经典或量子关联的可能性，为被称为Mpemba效应的现象的潜在机制提供了新的见解。 显示英文摘要

摘要： The Mpemba effect, a counterintuitive thermodynamic phenomenon in which a hotter system cools more rapidly than a colder one, has been observed in both classical and quantum systems. However, its fundamental mechanisms remain inadequately understood. In this letter, we investigate the role of classical and quantum correlations in driving anomalous relaxation behaviors within the framework of quantum resource theories. Through an analysis of multi-qubit systems in local thermal equilibrium, we establish that classical correlations alone can give rise to the Mpemba effect, while quantum correlations become relevant under specific energy degeneracy conditions. Furthermore, we demonstrate that non-Markovian memory effects and Hilbert space dimensionality play a crucial role in determining the temperature range over which this effect manifests. Finally, we discuss the possibility that the original anomalous cooling behavior observed in water may also arise from classical or quantum correlations, offering new insights into the underlying mechanisms of the phenomena collectively referred to as the Mpemba effect.