Entangled Electronic States in Multiple Quantum-Dot Systems

TL;DR

This paper introduces an analytically solvable model of multiple quantum dots with two electrons each, revealing how inter-dot electron interactions produce entangled ground states with crystal-like correlations that depend on magnetic field, dot size, and number of dots.

Contribution

The study provides a new analytical model for entangled states in multi-quantum-dot systems, highlighting the effects of inter-dot coupling and magnetic field on ground state properties.

Findings

Entangled ground states emerge due to inter-dot electron interactions.

Ground states exhibit crystal-like inter-plane correlations.

Range and stability of states depend on dot size ratios and increase with the number of dots.

Abstract

We present an analytically solvable model of $P$ colinear, two-dimensional quantum dots, each containing two electrons. Inter-dot coupling via the electron-electron interaction gives rise to sets of entangled ground states. These ground states have crystal-like inter-plane correlations and arise discontinously with increasing magnetic field. Their ranges and stabilities are found to depend on dot size ratios, and to increase with $P$.