论文标题
具有无序的光学量量子气的分层尺寸跨界
Hierarchical dimensional crossover of an optically-trapped quantum gas with disorder
论文作者
论文摘要
在任何试图制定低维物理学并研究基本水平的尺寸交叉的尝试中，维度都是必不可少的成分。这项工作的目的是研究层次尺寸的交叉，即从三个维度（3D）到准2D，然后再到1D的交叉。我们的系统由一个3D Bose-Einstein冷凝物（BEC）组成，被困在各向异性2D光学晶格中，其特征是$ x $方向沿lattice depths $ v_1 $和$ y $ y $方向的$ v_2 $，在$ y $方向上，通过$ v_1 $ $ v_1 $ $ v_1 $和$ v_1 $。我们分析得出了系统的基础能量，量子耗竭和超流体密度。我们的结果表明，量子波动行为中的3D-Quasi-2d-1d维度跨界。还讨论了我们场景可能实现的实验条件。
Dimensionality serves as an indispensable ingredient in any attempt to formulate the low-dimensional physics, and studying the dimensional crossover at a fundamental level is challenging. The purpose of this work is to study the hierarchical dimensional crossovers, namely the crossover from three dimensions (3D) to quasi-2D and then to 1D. Our system consists of a 3D Bose-Einstein condensate (BEC) trapped in an anisotropic 2D optical lattice characterized by the lattice depths $V_1$ along the $x$ direction and $V_2$ along the $y$ direction, respectively, where the hierarchical dimensional crossover is controlled via $V_1$ and $V_2$. We analytically derive the ground-state energy, quantum depletion and the superfluid density of the system. Our results demonstrate the 3D-quasi-2D-1D dimensional crossovers in the behavior of quantum fluctuations. Conditions for possible experimental realization of our scenario are also discussed.
