光子 Mpemba 效应
Photonic Mpemba effect
AI总结：
本文提出光学中的光子 Mpemba 效应，证明有限尺寸光子晶格内某些高度局域化初始光分布在退相动力学下可更快扩散，并给出基于光纤时间网格晶格的实验方案。
摘要：
Mpemba 效应是统计物理学中一种反直觉现象，即远离平衡态的状态可能比更接近平衡态的状态更快地弛豫到平衡。长期以来，这一效应引发了极大好奇，并在许多经典和量子系统中得到广泛研究。本文表明，Mpemba 效应同样可以在光学中被观测到。具体而言，研究考虑了在非相干（退相）动力学下，有限尺寸光子晶格中的光扩散过程。相当令人惊讶的是，结果表明某些高度局域化的初始光分布能够比初始时广泛离域的分布扩散得更快。通过考察光脉冲在基于光纤的时间网格晶格中的随机游走，本文阐明了该效应；这应为在光学中演示 Mpemba 效应提供一种实验上可实现的装置。
英文摘要：
The Mpemba effect is the counterintuitive phenomenon in statistical physics for which a far-from-equilibrium state can relax toward equilibrium faster than a state closer to equilibrium. This effect has raised a great curiosity since long time and has been studied extensively in many classical and quantum systems. Here it is shown that the Mpemba effect can be observed in optics as well. Specifically, the process of light diffusion in finite-sized photonic lattices under incoherent (dephasing) dynamics is considered. Rather surprisingly, it is shown that certain highly-localized initial light distributions can diffuse faster than initial broadly delocalized distributions. The effect is illustrated by considering random walk of optical pulses in fiber-based temporal mesh lattices, which should provide an experimentally-accessible setup for the demonstration of the Mpemba effect in optics.
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