具有平带的相互作用玻色子紧束缚系统中的莫特绝缘体类玻色-爱因斯坦凝聚
量子气体
2021-09-01 v6 统计力学
摘要
我们提出一类具有平带的相互作用玻色子紧束缚系统，其在可显式写出唯一基态的意义上是精确可解的。基态用局域产生算符表示，显然类似于莫特绝缘体的基态。基于用经典环气模型表示的精确表示，我们猜想该基态在二维和三维或更高维中分别可能展现准玻色-爱因斯坦凝聚(BEC)或真 BEC，同时仍保持莫特绝缘体类特征。我们对环气模型的蒙特卡洛模拟强烈支持这一猜想，即基态在二维经历 Kosterlitz-Thouless 转变并展现准 BEC。
引用
@article{arxiv.2102.10977,
title = {Mott Insulator-like Bose-Einstein Condensation in a Tight-Binding System of Interacting Bosons with a Flat Band},
author = {Hosho Katsura and Naoki Kawashima and Satoshi Morita and Akinori Tanaka and Hal Tasaki},
journal= {arXiv preprint arXiv:2102.10977},
year = {2021}
}
备注
14 pages, 13 figures. The format has been changed and some discussions has been added in vers. 5. Further improvements and a new figure (Fig.2) in vers. 6. There is a 22.5 minutes video in which the main results of the paper are described. See https://youtu.be/ef9x11C1cVg