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arXiv 2102.08241cond-mat.dis-nncond-mat.stat-mech
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随机扰动下二维PXP模型瘢痕态的稳定性

Stability of scar states in 2D PXP model against random disorders

Ke Huang, Yu Wang, Xiao Li

摘要:

近年来,一类具有弱遍历破缺的量子系统引起了人们的广泛关注。这些系统在能谱中具有一个特殊的本征态带,称为量子多体疤痕态。在这项工作中,我们研究的命运量子多体疤痕态在二维晶格对随机无序。我们发现,在正方形晶格和蜂窝晶格的疤痕状态可以持续到一个有限的无序强度,最终被删除的障碍。我们进一步研究了更强的障碍的存在下,系统的本地化特性,并表明,是否发生完全本地化过渡取决于我们引入的类型的障碍。因此,我们的研究揭示了二维系统中无序和量子多体疤痕之间迷人的相互作用。

英文摘要:

Recently a class of quantum systems exhibiting weak ergodicity breaking has attracted much attention. These systems feature a special band of eigenstates called quantum many-body scar states in the energy spectrum. In this work we study the fate of quantum many-body scar states in a two-dimensional lattice against random disorders. We show that in both the square lattice and the honeycomb lattice the scar states can persist up to a finite disorder strength, before eventually being erased by the disorder. We further study the localization properties of the system in the presence of even stronger disorders and show that whether a full localization transition occurs depends on the type of disorder we introduce. Our study thus reveals the fascinating interplay between disorder and quantum many-body scarring in a two-dimensional system.

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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