Hard-wall confinement of a fractional quantum Hall liquid

E. Macaluso and I. Carusotto
Phys. Rev. A 96, 043607 – Published 9 October 2017

Abstract

We make use of numerical exact diagonalization calculations to explore the physics of ν=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.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
2 More
  • Received 5 June 2017
  • Revised 20 September 2017

DOI:https://doi.org/10.1103/PhysRevA.96.043607

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

E. Macaluso and I. Carusotto

  • INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 96, Iss. 4 — October 2017

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×