$N$ 级系统中马尔可夫姆潘巴效应的有效协议

中文摘要 AI 辅助

姆潘巴效应是一种反常现象，其中热化时间并不单调依赖于与平衡态的距离，使得初始温度差较大的系统可能比较小温度差的系统更早热化。该效应的稀有性使得寻找产生它的参数变得困难，从而复杂化了实验设计和应用开发。在此，我们找到了三级系统中马尔可夫姆潘巴效应的必要且充分条件，并解释了其潜在的物理机制。基于对三级情形的理解，我们开发了一种高效算法来确定 $N$ 级系统中该效应的参数。该协议可为大型系统中姆潘巴实验的实现及相关应用打开大门。

英文摘要

The Mpemba effect is an anomalous phenomenon in which the time to thermalize does not depend monotonically on the distance from equilibrium, allowing systems with an initially larger temperature difference to thermalize before those with a smaller one. The rarity of the effect makes it hard to find parameters that produce it, complicating the design of experiments and the development of applications. Here, we find necessary and sufficient conditions for the Markovian Mpemba effect in three-level systems and explain its underlying physical mechanisms. Based on our understanding of the three-level case, we develop an efficient algorithm to determine the parameters for the effect in $N$-level systems. This protocol could open the door for the realization of Mpemba experiments and related applications in large systems.

发表机构

• Technion-Israel Institute of Technology（以色列理工学院）

机构由 AI 辅助整理，请以论文原文为准。