论文标题
在量子环上具有长而有限范围相互作用的费米子
Fermions with long and finite range interactions on a quantum ring
论文作者
论文摘要
背景：理想化的系统通常用于核物理和冷凝物质。例如，核能密度功能的构建涉及无限物质的特性，而中子滴剂用于测试核相互作用以及核能多体问题的近似值。在冷凝物质中，量子环还用于研究电子系统的性质。目的：研究将量子环与核子系统（包括多体相关）系统使用的可能性。方法：开发了一个有限数量的同一自旋费米子的量子环模型。考虑了与有限和无限范围的几种有吸引力和排斥的相互作用。量子蒙特卡洛计算用于提供精确的地面能量。与分析性Hartree-Fock溶液的比较用于了解相关性的作用。结果：Hartree-Fock的结果没有空间翻译对称性的破坏能够描述许多系统。但是，在密集的系统中，需要额外的空间相关性，具有强烈的短程排斥或大环中有吸引力的相互作用。结论：可以在量子环上描述具有由核相互作用的基本特征产生的空间相关性的fermions的自结界系统，可以在量子环上描述，鼓励具有逼真的相互作用的应用，以及具有较高尺寸几何形状（例如Spherium）的研究。
Background: Idealised systems are commonly used in nuclear physics and condensed matter. For instance, the construction of nuclear energy density functionals involves properties of infinite matter, while neutron drops are used to test nuclear interactions and approximations to the nuclear many-body problem. In condensed matter, quantum rings are also used to study properties of electron systems. Purpose: To investigate the possibility to use quantum rings with systems of nucleons including many-body correlations. Methods: A quantum ring model of a finite number of same spin fermions is developed. Several attractive and repulsive interactions with finite and infinite ranges are considered. Quantum Monte Carlo calculations are used to provide exact ground-state energies. Comparisons with analytical Hartree-Fock solutions are used to get an insight into the role of correlations. Results: Hartree-Fock results with no breaking of space translational symmetry are able to describe many systems. However, additional spatial correlations are required in the case of dense systems with a strong short-range repulsion, or with attractive interactions in large rings. Conclusions: Self-bound systems of fermions with spatial correlations produced by basic features of the nuclear interactions can be described on a quantum ring, encouraging applications with realistic interactions, as well as investigations with higher dimensional geometries such as spherium.
