Few-anyon systems in a parabolic dot
Ricardo Perez (1), Augusto Gonzalez (1,2) ((1) Centro de, Matematicas y Fisica Teorica, La Habana, (2) Universidad Nacional, Sede, Medellin)
TL;DR
This paper calculates energy levels of few-anyon systems in a quantum dot under magnetic field, revealing precise results for two and three particles, and explores the effects of statistics and Coulomb repulsion.
Contribution
It provides high-accuracy calculations of energy spectra for two and three anyons in a parabolic quantum dot, including effects of statistics and Coulomb interaction.
Findings
Energy levels computed with accuracy better than 10^-5 for two anyons.
Analysis of combined effects of anyon statistics and Coulomb repulsion for three anyons.
Power series expansion in 1/|J| used for energy calculations.
Abstract
The energy levels of two and three anyons in a two-dimensional parabolic quantum dot and a perpendicular magnetic field are computed as power series in 1/|J|, where J is the angular momentum. The particles interact repulsively through a coulombic (1/r) potential. In the two-anyon problem, the reached accuracy is better than one part in 10^5. For three anyons, we study the combined effects of anyon statistics and coulomb repulsion in the ``linear'' anyonic states.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.