The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains elusive owing to stringent temperature effects. Here we show that this issue may be overcome by using Lieb-Liniger bosons in shallow quasiperiodic potentials. A Bose glass, surrounded by superfluid and Mott phases, is found above a critical potential and for finite interactions. At finite temperature, we show that the melting of the Mott lobes is characteristic of a fractal structure and find that the Bose glass is robust against thermal fluctuations up to temperatures accessible in quantum gases. Our results raise questions about the universality of the Bose glass transition in such shallow quasiperiodic potentials.

中文翻译：

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浅准准周期的Lieb-Liniger玻色子：玻色玻璃相和分形Mott叶。

可压缩的绝缘体相（称为玻色玻璃）的出现是相关玻色流体中相互作用和无序相互作用的特征。虽然在紧密绑定模型中进行了广泛研究，但由于严格的温度影响，其观察仍然难以捉摸。在这里，我们表明可以通过在浅拟准电位中使用利勃-利尼格玻色子来克服此问题。发现Bose玻璃被超流体相和Mott相包围，位于临界电势之上并具有有限的相互作用。在有限的温度下，我们证明了Mott裂片的熔化是分形结构的特征，并且发现Bose玻璃对于在量子气体中可达到的温度下的热波动具有抵抗力。我们的结果提出了这样的浅准电位中玻色玻璃化转变的普遍性的问题。