论文标题
Bose-Einstein在八倍的对称光学晶格中凝结
Bose-Einstein condensates in an eightfold symmetric optical lattice
论文作者
论文摘要
我们通过数值求解Gross-Pitaevskii方程，研究了二维准周期光学晶格（OL）中Bose-Einstein冷凝物（BEC）的性质。在固定的外部谐波捕获电位中，我们首先分析了物质干扰模式从周期性到准周期性的演变，因为OL从四倍的周期性和八倍的准周期性不断变化。我们还针对不同的原子间相互作用和晶格深度研究了在此演化过程中的运输特性，并发现BEC从弹道扩散到定位。最后，我们专注于八倍的对称晶格的情况，并考虑外部陷阱电位实施的全局旋转。 BEC显示出具有八倍对称性的涡流图案，用于缓慢旋转，对于中间旋转而变得不稳定，并且表现出具有近似轴向对称性的环形孤子，用于快速旋转。这些结果可以在实验中很容易使用与物理相同的配置。莱特牧师。 122，110404（2019）。
We investigate the properties of Bose-Einstein condensates (BECs) in a two-dimensional quasi-periodic optical lattice (OL) with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation. In a stationary external harmonic trapping potential, we first analyze the evolution of matter-wave interference pattern from periodic to quasi-periodic as the OL is changed continuously from four-fold periodic and eight-fold quasi-periodic. We also investigate the transport properties during this evolution for different interatomic interaction and lattice depth, and find that the BEC crosses over from ballistic diffusion to localization. Finally, we focus on the case of eightfold symmetric lattice and consider a global rotation imposed by the external trapping potential. The BEC shows vortex pattern with eightfold symmetry for slow rotation, becomes unstable for intermediate rotation, and exhibits annular solitons with approximate axial symmetry for fast rotation. These results can be readily demonstrated in experiments using the same configuration as in Phys. Rev. Lett. 122, 110404 (2019).
