论文标题

多体平带定位

Many-Body Flatband Localization

论文作者

Danieli, Carlo, Andreanov, Alexei, Flach, Sergej

论文摘要

我们生成翻译不变的系统,这些系统表现出来自全带的多体定位 - 平坦的单粒子晶格汉密尔顿人,穿着合适的短距离多体相互作用。这种现象(称为多体平带定位(MBFBL))基于哈密顿式中单个粒子和相互作用项的对称性,并且具有任何相互作用强度。我们提出了一个MBFBL汉密尔顿人的发电机,该发电机涵盖了与任意晶格维度相互作用的玻色子和费米子的发电机,我们在一个和两个晶格维度中提供了MBFBL模型的明确示例。我们还明确地为MBFBL模型构建了一组局部运动积分。我们的结果可以进一步推广到远程相互作用以及缺乏转化不变性的系统。

We generate translationally invariant systems exhibiting many-body localization from All-Bands- Flat single particle lattice Hamiltonians dressed with suitable short-range many-body interactions. This phenomenon - dubbed Many-Body Flatband Localization (MBFBL) - is based on symmetries of both single particle and interaction terms in the Hamiltonian, and it holds for any interaction strength. We propose a generator of MBFBL Hamiltonians which covers both interacting bosons and fermions for arbitrary lattice dimensions, and we provide explicit examples of MBFBL models in one and two lattice dimensions. We also explicitly construct an extensive set of local integrals of motion for MBFBL models. Our results can be further generalized to long-range interactions as well as to systems lacking translational invariance.

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