研究具有空间局域的非均匀体费米子物质的双周期结构
A doubly-periodic structure for the study of inhomogeneous bulk fermion matter with spatial localizations
摘要：
我们提出了一种方法，提供的观点进行完全反对称模拟非均匀体费米子物质。该技术具有类似于经典的周期性边界条件，使用本地化的单粒子状态。这种局域态是讨论空间局域化起重要作用的现象的理想工具。在多体费米子波函数中引入双周期结构，得到了反对称化。这导致在循环矩阵的期望值的评估，导致计算上易于处理的形式主义，研究完全反对称散装费米子物质。我们表明，所提出的技术是能够重现基本的费米子功能在一个优雅的和计算上有利的方式。
英文摘要：
We present a method that offers perspectives to perform fully antisymmetrized simulations for inhomogeneous bulk fermion matter. The technique bears resemblance to classical periodic boundary conditions, using localized single-particle states. Such localized states are an ideal tool to discuss phenomena where spatial localization plays an important role. The antisymmetrisation is obtained introducing a doubly-periodic structure in the many-body fermion wave functions. This results in circulant matrices for the evaluation of expectation values, leading to a computationally tractable formalism to study fully antisymmetrized bulk fermion matter. We show that the proposed technique is able to reproduce essential fermion features in an elegant and computationally advantageous manner.
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