arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~

任意子Aubry-André模型中的统计离域化

Statistical delocalization in the Anyonic Aubry-André model

Andoni Agirre, André Eckardt, Tobias Grass

arXiv 2609.20029首次发表:更新:

发表机构

Donostia International Physics Center (DIPC); University of the Basque Country (UPV/EHU); Technische Universität Berlin; IKERBASQUE, Basque Foundation for Science(多诺斯蒂亚国际物理中心; 巴斯克大学; 柏林工业大学; 伊克尔巴斯基奎,巴斯克科学基金会)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本研究证明任意子交换统计可独立诱导多体离域化,将局域化交叉移至更大准周期势,为调控一维量子系统局域化提供新机制。

AI 中文摘要

多体局域化的显著之处在于,尽管存在动力学相互作用,局域化仍然得以持续。在此,我们展示了相反的现象:仅由交换统计所诱导的增强的多体离域化。我们研究了一维中无密度-密度相互作用的任意子Aubry-André准周期系统。就任意子算符而言,该系统由二次哈密顿量描述。通过分析其谱性质的有限尺寸标度以及多体本征态的逆参与比,我们发现增加任意子统计相位会系统性地将多体局域化交叉移向更大的准周期势。我们进一步使用动力学探针,即淬火后初始密度不平衡的持续性,证实了这些发现。我们的结果确立了交换统计作为能够改变多体局域化的独立机制,揭示了一维量子系统中通往离域化的根本不同途径。

英文摘要

Many-body localization is remarkable in that localization persists despite the presence of dynamical interactions. Here we demonstrate the converse phenomenon: enhanced many-body delocalization induced solely by exchange statistics. We study a Aubry-André quasiperiodic system of anyons in one dimension in the absence of density-density interactions. In terms of anyon operators, the system is described by a quadratic Hamiltonian. By analyzing the finite-size scaling of its spectral properties and the inverse participation ratio of many-body eigenstates, we find that increasing the anyonic statistical phase systematically shifts the many-body localization crossover toward larger quasiperdiodic potentials. We further confirm these findings using a dynamical probe, namely the persistence of an initial density imbalance following quenches. Our results establish exchange statistics as an independent mechanism capable of altering many-body localization, revealing a fundamentally distinct route to delocalization in one-dimensional quantum systems.

Comments8+3 pages, 5+4 figures

论文原文

arXiv 摘要页 · PDF 原文 · HTML 原文

↑