arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1209.2891cond-mat.quant-gasphysics.atom-ph
收藏

一维势阱中的两组分少费米子混合物:数值方法与解析方法

Two-component few-fermion mixtures in a one-dimensional trap: numerical versus analytical approach

Ioannis Brouzos, Peter Schmelcher

摘要:

我们探讨了一个少数费米子混合物组成的两个组件,这是排斥相互作用和限制在一维谐波陷阱。不同的情况下,人口不平衡,从完全不平衡的情况下,一个单一的杂质在费米海的物理讨论的部分不平衡和平等的人口配置进行了研究。数值计算采用多组态含时Hartree(MCTDH)方法,将其应用扩展到少费米子系统。除了数值计算外,我们还将文[1]中提出的玻色子的关联对波函数的计算推广到费米子的混合物。从弱到强的组件之间的耦合的能量,密度和相关性的一维系统的变化极大的上限设置的费米子无限排斥所有的费米子可以映射到相同的。的数值和分析处理是在良好的协议方面的描述,这种交叉。我们发现,对于相同的人口每对不同的组分原子分裂成两个单峰的密度,而部分不平衡的额外的峰值和高原出现非常强相互作用强度。当我们接近费米子化时,单个杂质原子的情况显示出能量和密度的丰富行为,并且与最近的实验直接相关[2-4]。

英文摘要:

We explore a few-fermion mixture consisting of two components which are repulsively interacting and confined in a one-dimensional harmonic trap. Different scenarios of population imbalance ranging from the completely imbalanced case where the physics of a single impurity in the Fermi-sea is discussed to the partially imbalanced and equal population configurations are investigated. For the numerical calculations the multi-configurational time-dependent Hartree (MCTDH) method is employed, extending its application to few-fermion systems. Apart from numerical calculations we generalize our Ansatz for a correlated pair wave-function proposed in [1] for bosons to mixtures of fermions. From weak to strong coupling between the components the energies, the densities and the correlation properties of one-dimensional systems change vastly with an upper limit set by fermionization where for infinite repulsion all fermions can be mapped to identical ones. The numerical and analytical treatments are in good agreement with respect to the description of this crossover. We show that for equal populations each pair of different component atoms splits into two single peaks in the density while for partial imbalance additional peaks and plateaus arise for very strong interaction strengths. The case of a single impurity atom shows rich behaviour of the energy and density as we approach fermionization, and is directly connected to recent experiments [2-4].

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。

↑