Metal clusters, quantum dots and trapped atoms -- from single-particle models to correlatio

TL;DR

This review explores the electronic properties of nanoscale finite quantum systems such as metal clusters, quantum dots, and trapped cold atoms, emphasizing many-particle physics and phenomena like magic numbers, shape deformation, and vortex formation.

Contribution

It provides a comprehensive overview connecting single-particle models to many-body effects in various nanoscale quantum systems.

Findings

Analysis of magic number sequences in metal clusters and quantum dots

Discussion of shape deformation and magnetism in finite systems

Insights into vortex formation in rotating cold atom traps

Abstract

In this review, we discuss the electronic structure of finite quantal systems on the nanoscale. After a few general remarks on the many-particle physics of the harmonic oscillator -- likely being the most studied example for the many-body systems of finite quantal systems, we discuss properties of metal clusters, quantum dots and cold atoms in traps. We address magic numbers, shape deformation, magnetism, particle localization, and vortex formation in rotating systems.