Fractional quantum Hall states of bosons on cones
arXiv:1609.07123 · doi:10.1103/PhysRevA.96.033622
Abstract
Motivated by a recent experiment which synthesizes Landau levels for photons on cones [Schine {\em et al.}, Nature 534, 671 (2016)], and more generally the interest in understanding gravitational responses of quantum Hall states, we study fractional quantum Hall states of bosons on cones. A variety of trial wave functions for conical systems are constructed and compared with exact diagonalization results. The tip of a cone is a localized geometrical defect with singular curvature which can modify the density profiles of quantum Hall states. The density profiles on cones can be used to extract some universal information about quantum Hall states. The values of certain quantities are computed numerically using the density profiles of some quantum Hall states and they agree with analytical predictions.
9.5 pages, 8 figures
References in corpus (12)
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Fractional Quantum Hall States and Jack Polynomials
- Framing Anomaly in the Effective Theory of Fractional Quantum Hall Effect
- One-Dimensional Theory of the Quantum Hall System
- Geometry of Fractional Quantum Hall Fluids
- Theory of Nematic Fractional Quantum Hall State
- Emergent Conformal Symmetry of Quantum Hall States on Singular surfaces
- Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
- Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
- Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
- Rotational properties of two-component Bose gases in the lowest Landau level
- Hall Viscosity Revealed via Density Response
Cited by in corpus (9)
- Measuring Electromagnetic and Gravitational Responses of Photonic Landau Levels
- Fractional disclination charge and discrete shift in the Hofstadter butterfly
- Chern Insulators on Singular Geometries
- Fractional Chern Insulators in Singular Geometries
- Hyperbolic Fractional Chern insulators
- Adiabatic flux insertion and growing of Laughlin states of cavity Rydberg polaritons
- Quantum Vortices in Curved Geometries
- The entanglement entropy of the quantum Hall edge and its geometric contribution
- Fractional quantum Hall interface induced by geometric singularity