规则球面网格上的超冷玻色子
Ultracold Bosons on a Regular Spherical Mesh
摘要：
我研究了生活在一个规则的球形网格（“柏拉图网格”）的节点上的玻色子粒子的零温相行为，并通过扩展的玻色-哈伯德哈密顿量相互作用。这里只考虑模型的核心版本，即柏拉图网格的两个实例。利用平均场解耦近似，我表明，该系统可以存在于各种基态，它可以被视为气体，固体，超固体，超流体的类似物。对于一个网格，通过将理论结果与数值对角化的结果进行比较，我设法揭示了有限量子系统中对角和非对角空间阶的签名。
英文摘要：
I study the zero-temperature phase behavior of bosonic particles living on the nodes of a regular spherical mesh ("Platonic mesh") and interacting through an extended Bose-Hubbard Hamiltonian. Only the hard-core version of the model is considered here, for two instances of Platonic mesh. Using the mean-field decoupling approximation, I show that the system may exist in various ground states, which can be regarded as analogs of gas, solid, supersolid, and superfluid. For one mesh, by comparing the theoretical results with the outcome of numerical diagonalization, I manage to uncover the signatures of diagonal and off-diagonal spatial orders in a finite quantum system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
