The out-of-equilibrium quantum dynamics of a bosonic Josephson junction (BJJ) with long-range interaction is studied in real space by solving the time-dependent many-body Schrödinger equation numerically accurately using the multiconfigurational time-dependent Hartree method for bosons. Having the many-boson wave-function at hand we can examine the impact of the range of the interaction on the properties of the BJJ dynamics, viz. density oscillations and their collapse, self trapping, depletion and fragmentation, as well as the position variance, both at the mean-field and many-body level. Explicitly, the frequency of the density oscillations and the time required for their collapse, the value of fragmentation at the plateau, the maximal and the minimal values of the position variance in each cycle of oscillation and the overall pace of its growth are key to our study. We find competitive effect between the interaction and the confining trap. The presence of the tail part of the interaction basically enhances the effective repulsion as the range of the interaction is increased starting from a short, finite range. But, as the range becomes comparable with the trap size, the system approaches a situation where all the atoms feel a constant potential and the impact of the tail on the dynamics diminishes. There is an optimal range of the interaction in which physical quantities of the junction are attaining their extreme values.

玻色约瑟夫逊结（BJJ）具有长程相互作用的不平衡量子动力​​学是在现实空间中，通过使用玻色子的多时变时变Hartree方法精确地数值求解时间相关的多体Schrödinger方程，从而在实际空间中进行研究。有了多玻色子波函数，我们可以检查相互作用范围对BJJ动力学特性的影响，即。均值场和多体水平的密度振荡及其塌陷，自陷，耗竭和破碎以及位置方差。明确地说，密度振荡的频率及其崩溃所需的时间，高原的碎裂值，每个振荡周期中位置方差的最大值和最小值及其增长的总体速度是我们研究的关键。我们发现相互作用和约束陷阱之间存在竞争效应。随着相互作用的范围从短而有限的范围开始增加，相互作用尾部的存在从根本上增强了有效排斥力。但是，当范围变得与陷阱尺寸可比时，系统将接近所有原子都具有恒定电势且尾部对动力学的影响减小的情况。相互作用的最佳范围是结的物理量达到其极限值。随着相互作用的范围从短而有限的范围开始增加，相互作用尾部的存在从根本上增强了有效排斥力。但是，当范围变得与陷阱尺寸可比时，系统将接近所有原子都具有恒定电势且尾部对动力学的影响减小的情况。相互作用的最佳范围是结的物理量达到其极限值。随着相互作用的范围从短而有限的范围开始增加，相互作用尾部的存在从根本上增强了有效排斥力。但是，当范围变得与陷阱尺寸可比时，系统将接近所有原子都具有恒定电势且尾部对动力学的影响减小的情况。相互作用的最佳范围是结的物理量达到其极限值。