Fermions out of Dipolar Bosons in the lowest Landau level
arXiv:0712.3185 · doi:10.1103/PhysRevA.77.043608
Abstract
In the limit of very fast rotation atomic Bose-Einstein condensates may reside entirely in the lowest two-dimensional Landau level (LLL). For small enough filling factor of the LLL, one may have formation of fractional quantum Hall states. We investigate the case of bosons with dipolar interactions as may be realized with Chromium-52 atoms. We show that at filling factor equal to unity the ground state is a Moore-Read (a.k.a Pfaffian) paired state as is the case of bosons with purely s-wave scattering interactions. This Pfaffian state is destabilized when the interaction in the s-wave channel is small enough and the ground state is a stripe phase with unidimensional density modulation. For filling factor 1/3, we show that there is formation of a Fermi sea of ``composite fermions''. These composites are made of one boson bound with three vortices. This phase has a wide range of stability and the effective mass of the fermions depends essentially only of the scattering amplitude in momentum channels larger or equal to 2. The formation of such a Fermi sea opens up a new possible route to detection of the quantum Hall correlations.
arXiv comment12 pages, 5 figures, published version
References in corpus (33)
- Vortex formation in a stirred Bose-Einstein condensate
- Bose-Einstein condensation of chromium
- Probing many-body states of ultra-cold atoms via noise correlations
- Strong dipolar effects in a quantum ferrofluid
- Observation of dipole-dipole interaction in a degenerate quantum gas
- Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
- Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
- Measurement of the angular momentum of a rotating Bose-Einstein condensate
- Condensation of `composite bosons' in a rotating BEC
- Do attractive bosons condense?
- Quantum Hall fractions in rotating Bose-Einstein condensates
- Metastable states of a gas of dipolar bosons in a 2D optical lattice
- Charge Density Wave Ordering in Half Filled High Landau Levels
- Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
- Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
- Vortex Lattice in the Planar Bose-Einstein Condensates with Dipolar Interactions
- Wigner Crystals in the lowest Landau level at low filling factors
- Quantum Hall fractions for spinless Bosons
- Stability and effective masses of composite-fermions in the first and second Landau Level
- Incompressible liquid state of rapidly-rotating bosons at filling factor 3/2
- Vortex lattices in Bose-Einstein condensates with Dipolar Interactions Beyond the Weak Interaction Limit
- Composite Fermions in Negative Effective Magnetic Field: A Monte-Carlo Study
- Free expansion of lowest Landau level states of trapped atoms: a wavefunction microscope
- Composite Fermions and quantum Hall systems: Role of the Coulomb pseudopotential
- Composite Fermions and the Fractional Quantum Hall Effect: Essential Role of the Pseudopotential
- Composite fermion theory of rapidly rotating two-dimensional bosons
- Quantum Hall states of atomic Bose gases: density profiles in single-layer and multi-layer geometries
- Competing Compressible and Incompressible Phases in Rotating Atomic Bose Gases at Filling Factor
- Composite Fermions in Fractional Quantum Hall Systems
- Crossover and Coexistence of Quasiparticle Excitations in the Fractional Quantum Hall Regime at
- Flavor altering excitations of composite fermions
- Effective mass staircase and the Fermi liquid parameters for the fractional quantum Hall composite fermions
- Excitation spectrum and effective mass of the even-fraction quantum Hall liquid
Cited by in corpus (8)
- Rapidly Rotating Atomic Gases
- Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
- fractional topological insulators in two dimensions
- Vortices and vortex lattices in quantum ferrofluids
- Emergent Fermi sea in a system of interacting bosons
- Creating fractional quantum Hall states with atomic clusters using light-assisted insertion of angular momentum
- Pfaffian States in Coupled Atom-Cavity Systems
- Topological pairing of composite fermions via criticality