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Fermionic Properties of Two Interacting Bosons in a Two-Dimensional Harmonic Trap

机译:二维谐波陷阱中两个相互作用玻色子的铁电性质

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The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the system, e.g., the different contributions to the total energy, change as we vary both the strength and range of the atoma??atom interaction. In particular, we focus on the short-range and strong interacting limit of the two-boson system and compare it to the noninteracting two-fermion system by properly symmetrizing the corresponding degenerate ground state wave functions. In that limit, we show that the density profile of the two-boson system has a tendency similar to the system of two noninteracting fermions. Similarly, the correlations induced when the interaction strength is increased result in a similar pair correlation function for both systems.
机译:将二维谐波陷阱中两个相互作用的玻色子的系统与由相同电位的两个非相互作用的费米子组成的系统进行了比较。特别地,我们讨论了系统的基态的性质,例如,对总能量的不同贡献,是如何随着我们改变原子原子相互作用的强度和范围而改变的。特别是,我们关注两玻色子系统的短距离和强相互作用极限,并通过适当地对称化相应的简并基态波函数,将其与非相互作用的两费米子系统进行比较。在此范围内,我们表明两玻色子系统的密度分布具有类似于两个非相互作用费米子系统的趋势。类似地,当相互作用强度增加时,所引起的相关对两个系统产生相似的对相关函数。

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