方形与Kagome晶格上硬核Bose-Hubbard模型的置换环
量子气体
2020-05-06 v3 量子物理
摘要
在本文中，我们研究了方形和 Kagome 晶格上由多种二维 Bose-Hubbard 型模型描述的基态硬核晶格玻色子的置换环统计。我们发现可以通过置换环的统计来区分量子相。事实上，置换环统计中的特征可用于唯一识别某些绝缘相，并且与相的基态展开中占据数的局域共振一致。我们还确认，由置换环长度的概率分布导出的合适量可用于探测超流体到绝缘体的相变。
引用
@article{arxiv.1912.00080,
title = {Permutation cycles of hardcore Bose-Hubbard models on square and Kagome lattices},
author = {Liana Shpani and Fabio Lingua and Wei Wang and Barbara Capogrosso-Sansone},
journal= {arXiv preprint arXiv:1912.00080},
year = {2020}
}
备注
7 pages, 9 figures. The study of phase transitions and permutation cycles originally part of manuscript arXiv:1905.07454v1 (version 1) has been moved to this manuscript while the discussion of topological signatures of multipartite entanglement in the ground-state expansion has been further developed in version 2 of manuscript arXiv:1905.07454v2