Abstract

We investigate in this work the survival of the Many-Body Localization in a discrete disordered Bose–Hubbard Hamiltonian when the second nearest-neighbor hoppings are taken into account. We consider small size systems of cold atoms located in a one-dimensional disorder optical lattices. Considering the disorder strength, we focus our attention on the spectral properties of the quantum many-body system such as the level-spacing statistics. As a result, the shapes of the probability distributions show that the systems undergo a delocalized and a localized regimes for low and high disorder strength respectively. This result is reinforced by the mean-square deviation studies.

Graphical abstract

中文翻译：

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次近邻跳频在多体局域化中的无序Bose-Hubbard哈密顿量中的作用

摘要

在这项工作中，当考虑到第二近邻跳频时，在离散无序Bose-Hubbard哈密顿量中多体定位的生存情况进行了调查。我们考虑位于一维无序光学晶格中的冷原子的小型系统。考虑到无序强度，我们将注意力集中在量子多体系统的光谱特性上，例如能级间距统计。结果，概率分布的形状表明系统针对低和高无序强度分别经历了离域和局部化状态。均方差研究加强了这一结果。

图形概要