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

Contributors

Roux, G.; Barthel, T.; McCulloch, I. P:; Kollath, Corinna; Schollwöck, U.; Giamarchi, Thierry

Published in

Physical review, A, Atomic, molecular, and optical physics, vol. 78, no. 2

Publication date

2008

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.

UNIGE affiliation entities

UNIGE research groups

Citation (ISO format)

ROUX, G. et al. Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases. In: Physical review, A, Atomic, molecular, and optical physics, 2008, vol. 78, n° 2. doi: 10.1103/PhysRevA.78.023628

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Article (Published version)

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Journal ISSN

1050-2947
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Technical informations

Creation

28/04/2014 13:56:00

First validation

28/04/2014 13:56:00

Update

14/03/2023 21:09:47

Status update

14/03/2023 21:09:47

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