Hard-Wall Confinement of a Fractional Quantum Hall Liquid

Abstract

We make use of numerical exact diagonalization calculations to explore the physics of $\nu =1/2$ bosonic fractional quantum Hall (FQH) 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.

15 pages, 9 figures

References in corpus (7)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum fluids of light
• Fractional Quantum Hall States and Jack Polynomials
• Generalized Clustering Conditions of Jack Polynomials at Negative Jack Parameter $\alpha$
• Quantum Shock Waves - the case for non-linear effects in dynamics of electronic liquids
• Induced self-stabilization in fractional quantum Hall states of light
• Edge excitations and Topological orders in rotating Bose gases

Cited by in corpus (13)

• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Generation and spectroscopic signatures of a fractional quantum Hall liquid of photons in an incoherently pumped optical cavity
• Preparation of the 1/2-Laughlin state with atoms in a rotating trap
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Autonomous stabilization of photonic Laughlin states through angular momentum potentials
• Chiral polaron formation on the edge of topological quantum matter
• Exact closed-form analytic wave functions in two dimensions: Contact-interacting fermionic spinful ultracold atoms in a rapidly rotating trap
• Quantum nonlinear optics on the edge of a few-particle fractional quantum Hall fluid in a small lattice
• How to exploit driving and dissipation to stabilize and manipulate quantum many-body states
• Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements
• Wave-function microscopy: Derivation and anatomy of exact algebraic spinful wave functions and full Wigner-molecular spectra of a few highly correlated rapidly rotating ultracold fermionic atoms
• Refermionized theory of the edge modes of a fractional quantum Hall cloud
• Vortex and fractional quantum Hall phases in a rotating anisotropic Bose gas