Ring-shaped fractional quantum Hall liquids with hard-wall potentials

Year: 2018

Authors: Macaluso E., Carusotto I.

Autors Affiliation: Univ Trento, INO, CNR BEC Ctr, I-38123 Povo, Italy; Univ Trento, Dipartimento Fis, I-38123 Povo, Italy.

Abstract: We study the physics of nu = 1/2 bosonic fractional quantum Hall droplets confined in a ring-shaped region delimited by two concentric cylindrically symmetric hard-wall potentials. Trial wave functions based on an extension of the Jack polynomial formalism including two different chiral edges are proposed and validated for a wide range of confinement potentials in terms of their excellent overlap with the eigenstates numerically found by exact diagonalization. In the presence of a single repulsive potential centered in the origin, a recursive structure in the many-body spectra and a massively degenerate ground-state manifold are found. The addition of a second hard-wall potential confining the fractional quantum Hall droplet from the outside leads to a nondegenerate ground state containing a well-defined number of quasiholes at the center and, for suitable potential parameters, to a clear organization of the excitations on the two edges. The utility of this ring-shaped configuration in view of theoretical and experimental studies of subtle aspects of fractional quantum Hall physics is outlined.

Journal/Review: PHYSICAL REVIEW A

Volume: 98 (1)      Pages from: 13605-1  to: 13605-17

More Information: This work was supported by the EU-FET Proactive grant AQuS, Project No. 640800, and by the Autonomous Province of Trento, partially through the project On silicon chip quantum optics for quantum computing and secure communications (SiQuro). Stimulating discussions with M. Dalmonte, R. Fern, L. Mazza, N. Regnault, and R. Santachiara arewarmly acknowledged.
KeyWords: edge states; photons;
DOI: 10.1103/PhysRevA.98.013605

Citations: 4
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