2005/11/30 by S. S. Gylfadottir, S S Gylfadottir, A Harju +5 · 1 citation
Mathematics · Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum many-body systems #Spectral Theory in Mathematical Physics #cond-mat.mes-hall
paper · pdf · doi:10.1088/1367-2630/8/9/211
published as New J. Phys. Vol. 8 p. 211 year 2006 · 19 pages, 10 figures. Accepted for publication in the New Journal of Physics
arxiv created 2006/09/11 · openalex publication_date 2006/09/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We study a system of interacting electrons on a one-dimensional (1D) quantum ring using exact diagonalization (ED) and the variational quantum Monte Carlo (VMC) method. We examine the accuracy of the Slater–Jastrow-type many-body wavefunction and compare energies and pair distribution functions obtained from the two approaches. Our results show that this wavefunction captures most correlation effects. We then study the smooth transition to a regime where the electrons localize in the rotating frame, which for the ultra-thin quantum ring system happens at quite high electron density.