Parafermionic states in rotating Bose-Einstein condensates

Abstract

We investigate possible parafermionic states in rapidly rotating ultracold bosonic atomic gases at lowest Landau level filling factor nu=k/2. We study how the system size and interactions act upon the overlap between the true ground state and a candidate Read-Rezayi state. We also consider the quasihole states which are expected to display non-Abelian statistics. We numerically evaluate the degeneracy of these states and show agreement with a formula given by E. Ardonne. We compute the overlaps between low-lying exact eigenstates and quasihole candidate wavefunctions. We discuss the validity of the parafermion description as a function of the filling factor.

23 pages, 10 figures

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Cited by in corpus (22)

• Rapidly Rotating Atomic Gases
• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• Particle Entanglement Spectra for Quantum Hall states on Lattices
• Strongly correlated phases in rapidly rotating Bose gases
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• Quasiparticles and excitons for the Pfaffian quantum Hall state
• Realization of supersymmetry and its spontaneous breaking in quantum Hall edges
• Creating and manipulating non-Abelian anyons in cold atom systems using auxiliary bosons
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Microscopic Model for Fractional Quantum Hall Nematics
• Emergent Fermi sea in a system of interacting bosons
• Some contributions to many-body quantum mathematics
• Geometric squeezing of rotating quantum gases into the lowest Landau level
• Vortex lattices for ultracold bosonic atoms in a non-Abelian gauge potential
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Spin chain description of rotating bosons at $\nu =1$
• Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings
• Incompressible Liquid, Stripes and Bubbles in rapidly rotating Bose atoms at $\nu =1$
• Dynamics of Quantum Hall Interfaces
• Hyperdeterminantal computation for the Laughlin wave function
• Many-body study of a quantum point contact in the fractional quantum Hall regime at v=5/2
• Disorder-driven phase transitions in bosonic fractional quantum Hall liquids