Two-body correlations in N-body boson systems
Two-body correlations in N-body boson systems
复制标题
N 体玻色子系统中的二体相关性
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
A. Jensen
中科院分区：
文献类型：
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作者：
O. Sorensen;D. Fedorov;A. Jensen
我们提出了一种方法来研究N个全同玻色子通过中心两体势相互作用系统中的两体关联。我们使用绝热超球面方法，并假定波函数为类Faddeev分解。对于固定的超半径，我们变分地导出了超角本征值和波函数的最优积分-微分方程式。假设相互作用范围远小于N体系统的大小，这个方程就会大大减少。至多，一维积分仍然存在。我们形象地将玻色-爱因斯坦凝聚体看作是作为一维超径向坐标的函数所给出的势的景观中的结构。凝聚态的量子态可以位于两个势极小值之一。我们推导和讨论了解的性质，并用数值结果进行了说明。这些关联大大降低了相互作用能。新的多体Efimov态是与两体势的细节无关的解。我们与平均场结果和现有的实验数据进行了比较。
We formulate a method to study two-body correlations in a system of N identical bosons interacting via central two-body potentials. We use the adiabatic hyperspherical approach and assume a Faddeev-like decomposition of the wave function. For a fixed hyperradius we derive variationally an optimal integro-differential equation for the hyperangular eigenvalue and wave function. This equation reduces substantially by assuming the interaction range much smaller than the size of the N-body system. At most, one-dimensional integrals then remain. We view a Bose-Einstein condensate pictorially as a structure in the landscape of the potential given as a function of the one-dimensional hyperradial coordinate. The quantum states of the condensate can be located in one of the two potential minima. We derive and discuss properties of the solutions and illustrate with numerical results. The correlations lower the interaction energy substantially. The new multibody Efimov states are solutions independent of details of the two-body potential. We compare with mean-field results and available experimental data.