动态开放耦合SYK马约拉纳结中的红外记忆与搅乱
The Junction That Remembers: Infrared Response of Two Coupled SYK Majorana Systems
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中文总结 AI 辅助
该研究构建动态开放耦合SYK马约拉纳结，结合理论分析与有限维模拟，揭示其红外记忆特性及多体搅乱行为，关联共形SYK动力学红外结构与有限尺寸多体效应。
中文摘要 AI 辅助
我们研究由两个耦合Sachdev-Ye-Kitaev（SYK）系统构成的动态开放马约拉纳结。随时间变化的双线性耦合驱动系统从近退耦态向强杂化态转变，为马约拉纳快门提供了相互作用实现。通过围绕共形q=4 SYK鞍点的大N Keldysh理论的低频分析，我们发现该开放过程保留了强红外记忆，相关的反常响应对红外截止的敏感性逐渐增强。对两个N=8 SYK团簇的精确有限维模拟显示，在开放后，区间间纠缠、宇称转移以及跨区间算符搅乱均得到增强。这些结果将共形SYK动力学的红外结构与有限尺寸多体搅乱关联起来，并阐明了动态开放的相互作用马约拉纳系统如何能保留超出二次极限的长波长记忆。
英文摘要
Two strongly interacting Majorana systems of the Sachdev--Ye--Kitaev type, each with its own independent disorder, are joined by a link that is switched on in time. We ask how the infrared structure of the link is imprinted on the response and whether the system remembers how it was opened. At large $N$ the leading cross-correlation between the two systems is an exact product of two equilibrium propagators and the switching profile; because the disorder is independent, no ladder dresses it. The link operator has scaling dimension one half, which gives its susceptibility a universal logarithm whose coefficient and phase we fix and verify numerically, while the gap of the coupled equilibrium problem grows more slowly than the naive crossover estimate. Exact dynamics for up to twelve Majoranas per side show strong parity transfer and entanglement several times the free-fermion ceiling. The work done by the switch has a first-order part that does not depend on the switching time and a second-order part that grows in magnitude with it. Once the work is held fixed, the protocol dependence of the entanglement, the link expectation value and a scrambling diagnostic nearly vanishes, and the small residuals do not depend on whether the protocols differ at low or at high frequency. These small systems have no infrared window, so they neither confirm nor exclude memory at large $N$.
发表机构
- Kharazmi University（哈拉兹米大学）
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