Flat bands, Dirac cones, and atom dynamics in an optical lattice
Abstract
We study atoms trapped with a harmonic confinement in an optical lattice characterized by a flat band and Dirac cones. We show that such an optical lattice can be constructed which can be accurately described with the tight-binding or Hubbard models. In the case of fermions the release of the harmonic confinement removes fast atoms occupying the Dirac cones while those occupying the flat band remain immobile. Using exact diagonalization and dynamics we demonstrate that a similar strong occupation of the flat band does not happen in the bosonic case and furthermore that the mean-field model is not capable of describing the dynamics of the boson cloud.
Main Authors
Format
Articles
Research article
Published
2010
Series
Subjects
Publication in research information system
Publisher
American Physical Society
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201705242479Use this for linking
Review status
Peer reviewed
ISSN
1050-2947
DOI
https://doi.org/10.1103/PhysRevA.82.041402
Language
English
Published in
Physical Review A
Citation
- Apaja, V., Hyrkäs, M., & Manninen, M. (2010). Flat bands, Dirac cones, and atom dynamics in an optical lattice. Physical Review A, 82(4), 41402. https://doi.org/10.1103/PhysRevA.82.041402
License
Copyright© 2010 The American Physical Society. Published in this repository with the kind permission of the publisher.