论文标题
波哈米亚对黑暗溶液的分析在干扰玻色的凝结中：潜在速度场的动态作用
Bohmian analysis of dark solutions in interfering Bose-Einstein condensates: The dynamical role of underlying velocity fields
论文作者
论文摘要
在过去的几十年中，由于有希望的技术含义，对Bose-Einstein干涉法的实验研究引起了很多关注。因此，这促使了旨在解决时间依赖的Gross-Pitaevskii方程及其降低的一维版本的数值模拟的开发，以更好地了解干扰型特征的发展和随后的Soliton动力学。在这项工作中，博学的力学被视为进一步探索和分析圆锥阵列的实时探索和分析两种冷凝水的孤独阵列的形成和进化的附加工具。因此，根据基本的动态速度场提供了另一种解释，直接与凝结物沿其演化发生的局部相变量有关。尽管这里考虑了降低的一维模型，但它仍然捕获了现象的本质，从而使整个演变的整洁图片在不减少描述的一般性的情况下进行了整洁的图像。为了更好地欣赏自由与结合动态的微妙之处，讨论了两种情况。首先，研究了两个自由释放的冷凝物的连贯叠加所表现出的孤子动力学，讨论了基础速度场的特殊性及其相应的通量轨迹，以两种初始云之间的峰值到峰值距离以及它们之间的添加相位差。在后一种情况下，发现了与众所周知的Aharonov-Bohm效应的有趣对应关系。然后，根据此类转弯点之间的距离，考虑了从谐波陷阱的两个相对转弯点释放出的两个冷凝物所显示的复发动力学。 [...]
In the last decades, the experimental research on Bose-Einstein interferometry has received much attention due to promising technological implications. This has thus motivated the development of numerical simulations aimed at solving the time-dependent Gross-Pitaevskii equation and its reduced one-dimensional version to better understand the development of interference-type features and the subsequent soliton dynamics. In this work, Bohmian mechanics is considered as an additional tool to further explore and analyze the formation and evolution in real time of the soliton arrays that follow the merging of two condensates. An alternative explanation is thus provided in terms of an underlying dynamical velocity field, directly linked to the local phase variations undergone by the condensate along its evolution. Although the reduced one-dimensional model is considered here, it still captures the essence of the phenomenon, rendering a neat picture of the full evolution without diminishing the generality of the description. To better appreciate the subtleties of free versus bound dynamics, two cases are discussed. First, the soliton dynamics exhibited by a coherent superposition of two freely released condensates is studied, discussing the peculiarities of the underlying velocity field and the corresponding flux trajectories in terms of both the peak-to-peak distance between the two initial clouds and the addition of a phase difference between them. In the latter case, an interesting correspondence with the well-known Aharonov-Bohm effect is found. Then, the recurrence dynamics displayed by the more general case of two condensates released from the two opposite turning points of a harmonic trap is considered in terms of the distance between such turning points. [...]
