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

Abstract

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.

Authors:
; ; ;  [1];  [2];  [3]
  1. T.C.M. Group, Department of Physics, Cavendish Laboratory, J.J. Thomson Avenue, Cambridge CB3 0HE (United Kingdom)
  2. (United Kingdom)
  3. (Netherlands)
Publication Date:
OSTI Identifier:
20786359
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.72.063622; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Cooper, N. R., Lankvelt, F. J. M. van, Reijnders, J. W., Schoutens, K., Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, and Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam. Quantum Hall states of atomic Bose gases: Density profiles in single-layer and multilayer geometries. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Cooper, N. R., Lankvelt, F. J. M. van, Reijnders, J. W., Schoutens, K., Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, & Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam. Quantum Hall states of atomic Bose gases: Density profiles in single-layer and multilayer geometries. United States. doi:10.1103/PHYSREVA.72.0.
Cooper, N. R., Lankvelt, F. J. M. van, Reijnders, J. W., Schoutens, K., Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP, and Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam. Thu . "Quantum Hall states of atomic Bose gases: Density profiles in single-layer and multilayer geometries". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786359,
title = {Quantum Hall states of atomic Bose gases: Density profiles in single-layer and multilayer geometries},
author = {Cooper, N. R. and Lankvelt, F. J. M. van and Reijnders, J. W. and Schoutens, K. and Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, Oxford OX1 3NP and Institute for Theoretical Physics, University of Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 6,
volume = 72,
place = {United States},
year = {Thu Dec 15 00:00:00 EST 2005},
month = {Thu Dec 15 00:00:00 EST 2005}
}