标题： 交叉帽淬火和纠缠演化 显示英文标题

标题： Crosscap Quenches and Entanglement Evolution

摘要： 理解量子多体系统动力学中复杂关联形成的机制仍然是现代物理学中的一个基本挑战。 为了解决这个问题，从非热态开始的淬火动力学已被广泛研究，取得了显著进展。 在本文中，我们提出了一种新的淬火协议，称为“交叉帽淬火”，以研究高度结构化的热纯态如何弛豫为典型的态。 我们首先分析共形场理论（CFTs），并推导出纠缠熵时间演化中的普遍特性。 此外，利用AdS/CFT对应关系，我们研究了全息CFTs，在混沌CFTs中提供了一个可解析处理的例子。 最后，我们通过在非可积和可积量子自旋系统中的数值模拟验证了这些发现。 显示英文摘要

摘要： Understanding the mechanisms by which complex correlations emerge through the dynamics of quantum many-body systems remains a fundamental challenge in modern physics. To address this, quench dynamics starting from nonthermal states have been extensively studied, leading to significant progress. In this paper, we propose a novel quench protocol, termed the "crosscap quench", to investigate how highly structured thermal pure states relax into typical ones. We begin by analyzing conformal field theories (CFTs) and derive universal features in the time evolution of the entanglement entropy. Furthermore, leveraging the AdS/CFT correspondence, we study holographic CFTs, providing an analytically tractable example in chaotic CFTs. Finally, we validate these findings through numerical simulations in both nonintegrable and integrable quantum spin systems.