Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases

Roux, G., Barthel, T., McCulloch, I. P., Kollath, C., Schollwock, U. and Giamarchi, T. (2008) Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases. Physical Review A, 78 2: . doi:10.1103/PhysRevA.78.023628

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Author Roux, G.
Barthel, T.
McCulloch, I. P.
Kollath, C.
Schollwock, U.
Giamarchi, T.
Title Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2008-08-22
Sub-type Article (original research)
DOI 10.1103/PhysRevA.78.023628
Open Access Status File (Publisher version)
Volume 78
Issue 2
Total pages 18
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2009
Language eng
Abstract We compute the phase diagram of the one-dimensional Bose-Hubbard model with a quasiperiodic potential by means of the density-matrix renormalization group technique. This model describes the physics of cold atoms loaded in an optical lattice in the presence of a superlattice potential whose wavelength is incommensurate with the main lattice wavelength. After discussing the conditions under which the model can be realized experimentally, the study of the density vs the chemical potential curves for a nontrapped system unveils the existence of gapped phases at incommensurate densities interpreted as incommensurate charge-density-wave phases. Furthermore, a localization transition is known to occur above a critical value of the potential depth V2 in the case of free and hard-core bosons. We extend these results to soft-core bosons for which the phase diagrams at fixed densities display new features compared with the phase diagrams known for random box distribution disorder. In particular, a direct transition from the superfluid phase to the Mott-insulating phase is found at finite V2. Evidence for reentrances of the superfluid phase upon increasing interactions is presented. We finally comment on different ways to probe the emergent quantum phases and most importantly, the existence of a critical value for the localization transition. The latter feature can be investigated by looking at the expansion of the cloud after releasing the trap.
Keyword Anderson model
Boson systems
Charge density waves
Hubbard model
Localised states
Optical lattices
Phase diagrams
Renormalisation
Superfluidity
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article #023628

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
 
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Created: Wed, 11 Mar 2009, 16:38:10 EST by Jo Hughes on behalf of School of Mathematics & Physics