Exploring Entanglement Spectrum and Phase Diagram in multi-electron Quantum Dot Chains

TL;DR

This paper studies how potential energy variations and electron interactions influence entanglement and phase transitions in multi-electron quantum dot chains modeled by the extended Hubbard model.

Contribution

It introduces an analysis of entanglement spectra and phase diagrams in multi-electron quantum dot chains with variable potentials and interactions, revealing complex entanglement dynamics.

Findings

Potential modifications significantly alter electron configurations.

Entanglement properties are highly dependent on interaction regimes.

Phase diagrams illustrate entanglement dependence on potential and interactions.

Abstract

We investigate the entanglement properties in semiconductor quantum dot systems modeled by extended Hubbard model, focusing on the impact of potential energy variations and electron interactions within a four-site quantum dot spin chain. Our study explores local and pairwise entanglement across configurations with electron counts N=4 and N=6, under different potential energy settings. By adjusting the potential energy in specific dots and examining the entanglement across various interaction regimes, we identify significant variations in the ground states of quantum dots. Our results reveal that local potential modifications lead to notable redistributions of electron configurations, significantly affecting the entanglement properties. These changes are depicted in phase diagrams that show entanglement dependencies on interaction strengths and potential energy adjustments, highlighting complex entanglement dynamics and phase transitions triggered by inter-dot interactions.