Scientific Results

Hard-wall confinement of a fractional quantum Hall liquid

Year: 2017

Authors: Macaluso E., Carusotto I.

Autors Affiliation: INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy

Abstract: We make use of numerical exact diagonalization calculations to explore the physics of 1/2 bosonic fractional quantum Hall droplets in the presence of experimentally realistic cylindrically symmetric hard-wall potentials. This kind of confinement is found to produce very different many-body spectra compared to a harmonic trap or the so-called extremely steep limit. For a relatively weak confinement, the degeneracies are lifted and the low-lying excited states organize themselves in energy branches that can be explained in terms of their Jack polynomial representation. For a strong confinement, a strong spatial deformation of the droplet is found, with an unexpected depletion of its central density.

Journal/Review: PHYSICAL REVIEW A

Volume: 96      Pages from: 043607-1  to: 043607-14

KeyWords: fractiona quantum Hall effect
DOI: 10.1103/PhysRevA.96.043607