Quantum Hall states of atomic Bose gases: Density profiles in single-layer and multilayer geometries

Journal Article · Thu Dec 15 00:00:00 EST 2005 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.72.0· OSTI ID:20786359

Cooper, N R; Reijnders, J W; Schoutens, K ^[1]

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1. T.C.M. Group, Department of Physics, Cavendish Laboratory, J.J. Thomson Avenue, Cambridge CB3 0HE (United Kingdom)

We describe the density profiles of confined atomic Bose gases in the high-rotation limit, in single-layer and multilayer 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 multilayered setup we find different phases, depending on the strength of the interlayer 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{sub c{sub 1}}. For tunneling well below t{sub c{sub 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.

• OSTI ID: 20786359
• Journal Information: Physical Review. A, Vol. 72, Issue 6; Other Information: DOI: 10.1103/PhysRevA.72.063622; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
BOSE-EINSTEIN CONDENSATION
BOSE-EINSTEIN GAS
DENSITY
DENSITY FUNCTIONAL METHOD
DISTRIBUTION
ELECTRON GAS
EXPANSION
GEOMETRY
HALL EFFECT
LAYERS
LIQUIDS
MAGNETIC FIELDS
MELTING
ROTATION
THREE-DIMENSIONAL CALCULATIONS
TUNNEL EFFECT
TWO-DIMENSIONAL CALCULATIONS
VORTICES