论文标题
在一个和二维中，少量和多体玻色系统的量子蒙特卡洛研究
Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions
论文作者
论文摘要
在本文中，我们报告了一组量子蒙特卡洛方法在一个和二维中具有不同类型相互作用的一组量子少数和多体系统的地面特性的详细研究。然而，这项工作的主要重点是研究颗粒之间具有偶极 - 偶极相互作用的超速玻色系统的地面特性。我们考虑玻色子仅限于双层和多层几何形状的情况，这些几何形状由均等的二维层组成。可以通过在一个方向上施加紧密的限制来实验实现这些层。我们专门讨论了对新量子阶段的研究，它们之间的特性及其之间的过渡。人们期望这些系统拥有丰富的少数和多体相的集合，因为偶极 - 偶极相互作用是各向异性和准远程。
In this Thesis, we report a detailed study of the ground-state properties of a set of quantum few- and many-body systems in one and two dimensions with different types of interactions by using Quantum Monte Carlo methods. Nevertheless, the main focus of this work is the study of the ground-state properties of an ultracold Bose system with dipole-dipole interaction between the particles. We consider the cases where the bosons are confined to a bilayer and multilayer geometries, that consist of equally spaced two-dimensional layers. These layers can be experimentally realized by imposing tight confinement in one direction. We specifically address the study of new quantum phases, their properties, and transitions between them. One expects these systems to have a rich collection of few- and many-body phases because the dipole-dipole interaction is anisotropic and quasi long-range.
