从复化到自相似性：量子临界性的新视角
From Complexification to Self-Similarity: New Aspects of Quantum Criticality
AI总结：
本文是量子临界性相关的小型综述，梳理复化方法在量子相变研究的最新进展，探讨复配分函数关联的自相似现象，并对该领域未来方向提出展望。
摘要：
量子相变是凝聚态物理中一个引人入胜的研究领域。通过复化进行的拓展不仅拓宽了该领域的研究范围，还为理解临界性及其统计意义提供了新框架。本小型综述简要概述了复化领域的最新进展，主要涵盖有限温度与平衡态量子相变，以及它们与动力学量子相变、非厄米物理学的关联，重点关注Fisher零点的重要意义。从与复配分函数相关的新发现自相似现象出发，我们进一步简要讨论了自相似系统的研究。最后，我们对这些方向提出了展望。
英文摘要：
Quantum phase transitions are a fascinating area of condensed matter physics. The extension through complexification not only broadens the scope of this field but also offers a new framework for understanding criticality and its statistical implications. This mini review provides a concise overview of recent developments in complexification, primarily covering finite temperature and equilibrium quantum phase transitions, as well as their connection with dynamical quantum phase transitions and non-Hermitian physics, with a particular focus on the significance of Fisher zeros. Starting from the newly discovered self-similarity phenomenon associated with complex partition functions, we further discuss research on self-similar systems briefly. Finally, we offer a perspective on these aspects.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
