论文标题
在2d-1d维度跨界处发生强烈相互交互的玻色子
Strongly-interacting bosons at 2D-1D Dimensional Crossover
论文作者
论文摘要
我们研究了相互作用的量子玻色子的二维（2D）系统，并在一个方向上具有连续的周期性潜力。这种系统的相关性表现出与berezinski-kosterlitz-thouless（BKT）特性的规范2D行为之间的尺寸交叉，当电势范围较大并在本质上是独立的管子中分配系统时，则表现出一维（1D）的性能。后者是在tomonaga-luttinger液体（TLL）的通用类别中。使用连续的量子蒙特卡洛法，我们通过计算纵向和横向超流体分数以及与温度，相互作用和潜力的函数来研究这种维跨界。特别是，我们发现相关函数从BKT到TLL类型演变，并且在维度交叉处出现了特殊的中间行为。我们讨论如何在冷原子气体实验中研究尺寸交叉的后果。
We study a two dimensional (2D) system of interacting quantum bosons, subjected to a continuous periodic potential in one direction. The correlation of such system exhibits a dimensional crossover between a canonical 2D behavior with Berezinski-Kosterlitz-Thouless (BKT) properties and a one-dimensional (1D) behavior when the potential is large and splits the system in essentially independent tubes. The later is in the universality class of Tomonaga-Luttinger liquids (TLL). Using a continuous quantum Monte Carlo method, we investigate this dimensional crossover by computing longitudinal and transverse superfluid fraction as well as the superfluid correlation as a function of temperature, interactions and potential. Especially, we find the correlation function evolves from BKT to TLL type, with special intermediate behaviors appearing at the dimensional crossover. We discuss how the consequences of the dimensional crossover can be investigated in cold atomic gases experiments.
