论文标题
通过有吸引力的费米斯实现一维
Achieving one-dimensionality with attractive fermions
论文作者
论文摘要
在本文中，我们讨论了有效的一维理论的准确性，用于描述通过谐波陷阱限制在量子电线中的超速原子集合的行为。 我们在完全多体的方法中得出了描述这类系统的有效哈密顿量，并计算出均值的野外校正，从虚拟过渡到限制潜力的激发状态产生的基态能量。我们发现，由于保利原理，有效的有限范围校正比有效的三体相互作用大的尺寸之一。通过与纯1D问题的精确解决方案相比，我们得出结论，1D有效的理论可以很好地描述系统的基态状态，用于相当大的相互作用参数。
In this article we discuss the accuracy of effective one-dimensional theories used to describe the behavior of ultracold atomic ensembles confined in quantum wires by a harmonic trap. We derive within a fully many-body approach the effective Hamiltonian describing this class of systems and we calculate the beyond-mean field corrections to the energy of the ground state arising from virtual transitions towards excited state of the confining potential. We find that, due to the Pauli principle, effective finite-range corrections are one of magnitude larger than effective three-body interactions.By comparing to exact solutions of the purely 1D problem, we conclude that a 1D effective theory provides a good description of the ground state of the system for a rather large range of interaction parameters.
