Quantum Hall states of atomic Bose gases: density profiles in single-layer and multi-layer geometries

Abstract

We describe the density profiles of confined atomic Bose gases in the high-rotation limit, in single-layer and multi-layer geometries. We show that, in a local density approximation, the density in a single layer shows a landscape of quantized steps due to the formation of incompressible liquids, which are analogous to fractional quantum Hall liquids for a two-dimensional electron gas in a strong magnetic field. In a multi-layered set-up we find different phases, depending on the strength of the inter-layer tunneling t. We discuss the situation where a vortex lattice in the three-dimensional condensate (at large tunneling) undergoes quantum melting at a critical tunneling $t_{c_1}$. For tunneling well below $t_{c_1}$ one expects weakly coupled or isolated layers, each exhibiting a landscape of quantum Hall liquids. After expansion, this gives a radial density distribution with characteristic features (cusps) that provide experimental signatures of the quantum Hall liquids.

9 pages, 9 figures

References in corpus (8)

• Rapidly Rotating Bose-Einstein Condensates in and near the Lowest Landau Level
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
• Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates
• Edge excitations and Topological orders in rotating Bose gases
• Quantum Hall fractions in ultracold fermionic vapors
• Vortex lattice stability and phase coherence in three-dimensional rapidly rotating Bose condensates
• Quantum Hall fractions in ultracold atomic vapors
• Density profiles for atomic quantum Hall states

Cited by in corpus (18)

• Many-Body Physics with Ultracold Gases
• Light-induced gauge fields for ultracold atoms
• Rapidly Rotating Atomic Gases
• Optical lattice quantum Hall effect
• Fractional Quantum Hall Effect of Lattice Bosons Near Commensurate Flux
• Scattering and leapfrogging of vortex rings in a superfluid
• Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
• Ultracold atoms in U(2) non-Abelian gauge potentials preserving the Landau levels
• Density matrix renormalization group for bosonic quantum Hall effect
• Fractional quantum Hall effect in a U(1)xSU(2) gauge field
• Vortex-lattice melting in a one-dimensional optical lattice
• Imaging of quantum Hall states in ultracold atomic gases
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Theory of vortex-lattice melting in a one-dimensional optical lattice
• Defect mediated melting and the breaking of quantum double symmetries
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Fermions out of Dipolar Bosons in the lowest Landau level
• Circular Dichroism on the Edge of Quantum Hall Systems: From Many-Body Chern Number to Anisotropy Measurements