Parafermionic states in rotating Bose-Einstein condensates
type: Dataset
description: Rotating Bose-Einstein condensates in a trap are the place of a very rich physics. It has been predicted that, under appropriate conditions, they will behave like two dimensional electron systems in the fractional quantum Hall effect regime. In addition to the usual fractions, more exotic phases have also been predicted at filling factor $\nu=k/2$. These parafermionic states are described by the Read-Rezayi (RR) wave functions. We study how the system size and interaction act on the overlap be tween the true ground state and corresponding RR state. The quasihole excitations of the RR states are known to obey non-Abelian statistics. We numerically evaluate the degeneracy of these states and show it is in agreemen t with a formula given by E. Ardonne. We compute overlap between low-energy true eigenstates and quasihole ground states, and discuss in which cases such description is valid.
issued: 2026-05-07T13:21:36.694556
language: en
modified: 2026-05-07T13:21:36.694560
contact point: Organization
  fn: CCSD
keyword: conference-papers
keyword: infoeu-reposemanticsconferenceobject
keyword: physcondcm-genphysics-physicscondensed-matter-cond-matother-cond-matother
landing page: Strongly correlated systems in low dimension

Parafermionic states in rotating Bose-Einstein condensates
type: Distribution
format: HTML
issued: 2026-05-07T13:21:36.695760
modified: 2026-05-07T13:21:36.688534
access URL: https://hal.science/hal-00092712

test_moissonnage_selune
type: Agent