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arXiv 2301.04070cond-mat.stat-mechcond-mat.str-elquant-ph
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ANNNI模型中量子猝灭的简单理论

A simple theory for quantum quenches in the ANNNI model

Jacob H. Robertson, Riccardo Senese, Fabian H. L. Essler

AI总结:

本研究针对ANNNI模型量子猝灭中邻近量子临界点特征的观测问题,构建简单含时平均场理论,定量准确描述短时间猝灭并解释长时间近似合理性,同时阐明了可观测量振荡行为源于长寿命束缚态的形成。

摘要:

在Haldar等人近期的一项数值研究(Phys. Rev. X 11, 031062)中,研究人员发现在特定量子猝灭后的早期和中间时间,可以观测到邻近量子临界点的特征。该研究主要聚焦于轴向次近邻伊辛(axial next-nearest neighbour Ising,ANNNI)模型的情形。本文构建了一种简单的含时平均场理论,能够对这些短时间猝灭过程给出定量准确的描述,出于我们阐释的原因,该理论在长时间下仍是合理的近似(存在一些保留条件)。我们的方法为理解已报道的数值结果,以及通过猝灭动力学探测量子临界点的基本限制提供了一个简单框架。此外,我们还解释了在多种可观测量中观测到的特殊振荡行为的起源,其源于长寿命束缚态的形成。

英文摘要:

In a recent numerical study by Haldar et al. (Phys. Rev. X 11, 031062) it was shown that signatures of proximate quantum critical points can be observed at early and intermediate times after certain quantum quenches. Said work focused mainly on the case of the axial next-nearest neighbour Ising (ANNNI) model. Here we construct a simple time-dependent mean-field theory that allows us to obtain a quantitatively accurate description of these quenches at short times, which for reasons we explain remains a fair approximation at late times (with some caveats). Our approach provides a simple framework for understanding the reported numerical results as well as fundamental limitations on detecting quantum critical points through quench dynamics. We moreover explain the origin of the peculiar oscillatory behaviour seen in various observables as arising from the formation of a long-lived bound state.

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。

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