论文标题
相变的尺寸从陷阱超速原子气体中的两个至三个维度的跨越
Phase transition dimensionality crossover from two to three dimensions in a trapped ultracold atomic Bose gas
论文作者
论文摘要
跨BEREZINSKII-KOSTERLITZ-thouless（BKT）和Bose-Einstein凝结（BEC）相变的弱相互作用的原子Bose气体的平衡性能是通过从两个到三个维度的维度交叉来数字研究的。通过将气体限制在实验可行的杂交陷阱中，从而实现了交叉，该陷阱通过沿平面Xy方向的均匀构成均匀性，沿横向Z方向具有谐波横向电势。通过改变谐波陷阱的频率从紧密到松动的横向捕获来改变维度。我们的发现是基于随机（预测的）毛 - 比塔维斯基方程式，它展示了从BKT到BEC的相变特征的连续转移，以及鉴定出的临界温度随着维度的函数的单调升高，具有最强的变化，对于横向构成的较小的化学势值表现出最大的变化，高于近似趋势，高于近似twice twice twice twice twice twice twice twice twice twice twice twice the
The equilibrium properties of a weakly interacting atomic Bose gas across the Berezinskii-Kosterlitz-Thouless (BKT) and Bose-Einstein condensation (BEC) phase transitions are numerically investigated through a dimensionality crossover from two to three dimensions. The crossover is realised by confining the gas in an experimentally feasible hybridised trap which provides homogeneity along the planar xy-directions through a box potential in tandem with a harmonic transverse potential along the transverse z-direction. The dimensionality is modified by varying the frequency of the harmonic trap from tight to loose transverse trapping. Our findings, based on a stochastic (projected) Gross-Pitaevskii equation, showcase a continuous shift in the character of the phase transition from BKT to BEC, and a monotonic increase of the identified critical temperature as a function of dimensionality, with the strongest variation exhibited for small chemical potential values up to approximately twice the transverse confining potential
