Effects of random depth optical lattice (OL) on vortices in Bose–Einstein condensates (BECs) are studied. By numerically solving Gross–Pitaevskii equation for rotating BECs, we analyzed the property of a single vortex (slow rotating) and vortex lattice structures (fast rotating) in the presence of random depth optical lattice. It is shown that similar to speckle disorder and bichromatic optical lattice pseudorandom potential, random depth optical lattice can also localize a singe vortex. Random depth OL can melt square vortex lattice, while speckle or bichromatic OL disorder can melt triangular vortex lattice. We also show that random depth OL disorder can induce larger angular momentum.

中文翻译：

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具有随机深度光学晶格的 Bose-Einstein 凝聚中的涡流

研究了随机深度光学晶格 (OL) 对玻色-爱因斯坦凝聚 (BEC) 中的涡旋的影响。通过数值求解旋转 BEC 的 Gross-Pitaevskii 方程，我们分析了在随机深度光学晶格存在的情况下单涡旋（慢速旋转）和涡旋晶格结构（快速旋转）的性质。结果表明，类似于散斑无序和双色光晶格伪随机势，随机深度光晶格也可以定位单个涡旋。随机深度OL可以熔化方形涡旋点阵，而散斑或双色OL无序可以熔化三角形涡旋点阵。我们还表明随机深度 OL 无序可以引起更大的角动量。