Quantum genetic algorithm method in self-consistent electronic structure calculations of a quantum dot with many electrons

Sahin M., Atav U., Tomak M.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.16, no.9, pp.1379-1393, 2005 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 9
  • Publication Date: 2005
  • Doi Number: 10.1142/s012918310500800x
  • Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1379-1393
  • Keywords: matrix diagonalization, evolutionary algorithm, Hartree approximation, DIFFUSION MONTE-CARLO, GROUND-STATE ENERGY, SCHRODINGER-EQUATION, EVOLUTIONARY ALGORITHM, SYSTEMS
  • Middle East Technical University Affiliated: Yes

Abstract

In this study, we have calculated energy levels of an N-electron quantum dot. For this purpose, we have used two different techniques, matrix diagonalization and quantum genetic algorithm, to obtain simultaneous solutions of the coupled Schrodinger and Poisson equation in the Hartree approximation. We have determined single particle energy levels, total energy, chemical potential and capacitive energy. We have also compared the results, demonstrated the applicability of QGA to many-electron quantum systems and evaluated its effectiveness.