Zhu Xingchuan, Guo Jiaojiao, Breuckmann Nikolas P, Guo Huaiming, Feng Shiping
Department of Physics, Beijing Normal University, Beijing 100875, People's Republic of China.
Center for Basic Teaching and Experiment, Nanjing University of Science and Technology, Jiangyin 214443, People's Republic of China.
J Phys Condens Matter. 2021 Jun 29;33(33). doi: 10.1088/1361-648X/ac0a1a.
The effect of many-body interaction in curved space is studied based on the extended Bose-Hubbard model on hyperbolic lattices. Using the mean-field approximation and quantum Monte Carlo simulation, the phase diagram is explicitly mapped out, which contains the superfluid, supersolid and insulator phases at various fillings. Particularly, it is revealed that the sizes of the Mott lobes shrink and the supersolid is stabilized at smaller nearest-neighbor interaction asin the Schläfli symbol increases. The underlying physical mechanism is attributed to the increase of the coordination number, and hence the kinetic energy and the nearest-neighbor interaction. The results suggest that the hyperbolic lattices may be a unique platform to study the effect of the coordination number on quantum phase transitions, which may be relevant to the experiments of ultracold atoms in optical lattices.
基于双曲晶格上的扩展玻色 - 哈伯德模型，研究了弯曲空间中多体相互作用的影响。利用平均场近似和量子蒙特卡罗模拟，明确绘制出了相图，该相图在不同填充情况下包含超流相、超固相和绝缘相。特别地，研究发现随着施莱夫利符号中最近邻相互作用的增加，莫特叶瓣的尺寸缩小，超固相在较小的最近邻相互作用下变得稳定。其潜在的物理机制归因于配位数的增加，进而导致动能和最近邻相互作用的增加。结果表明，双曲晶格可能是研究配位数对量子相变影响的独特平台，这可能与光晶格中超冷原子的实验相关。
