AI 中文总结
研究受合成磁场作用的耦合一维玻色-爱因斯坦凝聚体，通过耦合线模型探究有限尺寸效应与边界条件对涡旋态的调控，为相关量子流体实验提供理论参考。
AI 中文摘要
我们研究受合成磁场作用的耦合一维玻色-爱因斯坦凝聚体的平均场基态。所得的相互作用耦合线模型具有一个连续空间方向和一个离散空间方向，提供了一种在少腿梯子物理与扩展涡旋晶格之间插值的可控方式。对于两条线，我们研究类涡旋态、偏置密度态和类迈斯纳态，探索系统有限纵向尺寸如何改变它们之间的转变。增加线的数量，基态会向扩展涡旋晶格演化。我们通过数值计算发现，离散方向上的周期性边界条件可能有利于同符号涡旋的交错阵列，类似阿布里科索夫晶格；而小有限尺寸系统中的开放边界会将涡旋限制在合成方向中心附近的行中。我们的结果探究了有限尺寸效应和边界条件如何调控连续-离散量子流体中涡旋的出现与空间组织，对未来的隧穿耦合原子线或合成维度实验具有参考意义。
英文摘要
We investigate the mean-field ground states of coupled one-dimensional Bose-Einstein condensates subject to a synthetic magnetic field. The resulting interacting coupled-wire model has one continuous and one discrete spatial direction, providing a controlled way to interpolate between the physics of few-leg ladders and extended vortex lattices. For two wires, we study the vortex-like, biased-density, and Meissner-like states, exploring how the finite longitudinal size of the system modifies the transitions between them. Increasing the number of wires, the ground state evolves towards an extended vortex lattice. We find numerically that periodic boundary conditions in the discrete direction can favour staggered arrays of like-signed vortices resembling an Abrikosov lattice, while open boundaries in small finite-size systems confine the vortices into rows near the centre of the synthetic direction. Our results explore how finite size effects and boundary conditions govern the emergence and spatial organisation of vortices in continuous-discrete quantum fluids, with relevance to future experiments in tunnel-coupled atomic wires or with synthetic dimensions.
Comments18 pages, 8 figures
