The effects of frustration on extended supersolid states is a largely unexplored subject in the realm of cold-atom systems. In this work, we explore the impact of quasicrystalline lattices on the supersolid phases of dipolar bosons. Our findings reveal that weak quasicrystalline lattices can induce a variety of modulated phases, merging the inherent solid pattern with a quasiperiodic decoration induced by the external potential. As the lattice becomes stronger, we observe a superquasicrystal phase and a Bose glass phase. Our results, supported by a detailed discussion on experimental feasibility using dysprosium atoms and quasicrystalline optical lattice potentials, open a new avenue in the exploration of long-range interacting quantum systems in aperiodic environments. We provide a solid foundation for future experimental investigations, potentially confirming our theoretical predictions and contributing profoundly to the field of quantum gases in complex external potentials.

中文翻译：

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通过准晶约束探索偶极气体的量子相


挫折对扩展超固体状态的影响在冷原子系统领域基本上是一个未被探索的话题。在这项工作中，我们探讨了准晶格对偶极玻色子超固相的影响。我们的研究结果表明，弱准晶格可以诱导各种调制相，将固有的固体图案与由外部电位诱导的准周期性装饰合并。随着晶格变得更强，我们观察到超准晶相和玻色玻璃相。我们的结果得到了对使用镝原子和准晶格电位的实验可行性的详细讨论的支持，为探索非周期性环境中的远程相互作用量子系统开辟了一条新途径。我们为未来的实验研究提供了坚实的基础，有可能证实我们的理论预测，并为复杂外部势中的量子气体领域做出了深远的贡献。