IOP Publishing
jpb453508f3_online.jpg (80.92 kB)

Excitation energies of low-lying states at q2/B = 3.6 for SU(2)-symmetric interactions (g = 0.2)

Download (0 kB)
posted on 2013-06-24, 00:00 authored by T Graß, B Juliá-Díaz, M Burrello, M Lewenstein

Figure 3. Excitation energies of low-lying states at q2/B = 3.6 for SU(2)-symmetric interactions (g = 0.2). Energies are in units of gB and |{\boldsymbol{K}}| is in units of 2π/a.


We study the fractional quantum Hall phases of a pseudospin-1/2 Bose gas in an artificial gauge field. In addition to an external magnetic field, the gauge field mimics an intrinsic spin–orbit coupling of the Rashba type. While the spin degeneracy of the Landau levels is lifted by the spin–orbit coupling, the crossing of two Landau levels at certain coupling strengths gives rise to a new degeneracy. We therefore take into account two Landau levels and perform exact diagonalization of the many-body Hamiltonian. We study and characterize the quantum Hall phases which occur in the vicinity of the degeneracy point. Notably, we describe the different states appearing at the Laughlin fillings, ν = 1/2 and ν = 1/4. While for these filling factors incompressible phases disappear at the degeneracy point, we find gaps in the spectra of denser systems at ν = 3/2 and ν = 2. For filling factors ν = 2/3 and ν = 4/3, we discuss the connection of the exact ground states to the non-Abelian spin singlet states, obtained as the ground states of (k + 1)-body contact interactions.


Usage metrics

    IOP Publishing



    Ref. manager