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arXiv 1804.06342cond-mat.quant-gasquant-ph
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任意一维约束条件下相互作用超冷原子的变分方法

Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement

Przemysław Kościk, Marcin Płodzień, Tomasz Sowiński

摘要:

在平均场论之外,一维相互作用粒子的多体波函数的标准解析构造是基于杰斯特罗方法。多体相互作用基态是由非相互作用系统的基态和相应的相互作用二体问题的解的乘积建立起来的。然而,这只有在质心运动与相互作用解耦时才有可能。在我们的工作中,基于原子-原子相互作用的接触性质给出的一般约束,我们提出了一种替代的方法来构造\textit{pair-correlation}波函数的标准。在建议的anterior中,我们研究了多体性质的被困玻色子以及费米混合物,我们比较这些预测与精确对角化的方法在很宽的范围内的粒子数,相互作用强度,和不同的捕获潜力。

英文摘要:

Standard analytical construction of the many-body wave function of interacting particles in one dimension, beyond mean-field theory, is based on the Jastrow approach. The many-body interacting ground state is build up from the ground state of the non-interacting system and the product of solutions of the corresponding interacting two-body problem. However, this is possible only if the center-of-mass motion is decoupled from the mutual interactions. In our work, based on the general constraints given by contact nature of the atom-atom interactions, we present an alternative approach to the standard construction of the \textit{pair-correlation} wave-function. Within the proposed ansatz, we study the many-body properties of trapped bosons as well as fermionic mixtures and we compare these predictions with the exact diagonalization approach in a wide range of particle numbers, interaction strengths, and different trapping potentials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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