论文标题

在一维谐波陷阱中,几个费米斯与重型移动杂质强烈相互作用

Several fermions strongly interacting with a heavy mobile impurity in a one-dimensional harmonic trap

论文作者

Włodzyński, Damian

论文摘要

我们提出了一种具有数值精确的方法,用于将单个杂质浸入多数费米的混合物,限制在谐波电位中。我们通过适当量身定制的规范变换分离了自由度之一,并对简化的汉密尔顿人进行了确切的对角线化。该方法对于重型杂质特别有效,在该杂质中,它超出了典型的精确对角网方法。我们使用我们的方法来计算最多十个多数费米子的混合物的前几个征态的能量和密度曲线。

We propose a numerically exact method for a mixture with a single impurity immersed in several majority fermions, confined in a harmonic potential. We separate one of the degrees of freedom through an appropriately tailored canonical transformation and perform exact diagonalization on the simplified Hamiltonian. This method is especially effective for a heavy impurity, where it outmatches the typical exact diagonalization approach. We used our method to calculate energy and density profiles of the first few eigenstates for the mixture with up to ten majority fermions.

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