Crosscap Quenches and Entanglement Evolution

• URL: http://arxiv.org/abs/2412.18610v2
• Date: Fri, 31 Jan 2025 15:14:45 GMT
• Title: Crosscap Quenches and Entanglement Evolution
• Authors: Zixia Wei, Yasushi Yoneta,
• Abstract summary: We propose a novel quench protocol, termed the "crosscap quench" We analyze conformal field theories (CFTs) and derive universal features in the time evolution of the entanglement entropy. We validate these findings through numerical simulations in both nonintegrable and integrable quantum spin systems.
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• Abstract: 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.

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