Hard-wall confinement of a fractional quantum Hall liquid

Year: 2017

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 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 (4)      Pages from: 43607-1  to: 43607-14

More Information: Continuous discussions and early stage technical support from R. O. Umucalilar are warmly acknowledged. 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). I.C. acknowledges the Kavli Institute for Theoretical Physics, University of California, Santa Barbara (USA) for the hospitality and support during the early stage of this work.
KeyWords: Edge States
DOI: 10.1103/PhysRevA.96.043607

Citations: 13
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