Quantum Monte Carlo study of few- and many-body Bose systems in one and two dimensions

TL;DR

This thesis uses Quantum Monte Carlo methods to explore the ground-state properties and quantum phases of ultracold Bose systems with dipole-dipole interactions in one- and two-dimensional layered geometries.

Contribution

It provides a detailed analysis of quantum phases and transitions in dipolar Bose systems confined in multilayer geometries, highlighting new quantum phenomena.

Findings

Identification of novel quantum phases

Analysis of phase transitions in dipolar Bose systems

Characterization of ground-state properties

Abstract

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.