| ATOMIC AND MOLECULAR PHYSICS |
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Light-Induced Hofstadter's Butterfly Spectrum of Ultracold Atoms on the Two-Dimensional Kagomé Lattice |
| HOU Jing-Min |
| Department of Physics, Southeast University, Nanjing 211189 |
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| Cite this article: |
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HOU Jing-Min 2009 Chin. Phys. Lett. 26 123701 |
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Abstract We investigate the energy spectrum of ultracold atoms on the two-dimensional Kagomé optical lattice under an effective magnetic field, which can be realized with laser beams. We derive the generalized Harper's equations from the Schrödinger equation. The energy spectrum with a fractal band structure is obtained by numerically solving the generalized Harper's equations. We analyze the properties of the Hofstadter's butterfly spectrum and discuss its observability.
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| Keywords:
37.10.Jk
03.75.Lm
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Received: 15 July 2009
Published: 27 November 2009
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| PACS: |
37.10.Jk
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(Atoms in optical lattices)
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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