Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices

Details Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices

2008-09-11

arxiv.org/abs/0809.2078v1

Physics

Condensed Matter

Other Condensed Matter

8 pages, 3 figures. Some, but not all, material is included in arXiv:0807.3609. A new simulation of a time-of-flight absorptio

Scientific paper

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. Due to the competition between vortex-vortex interactions and pinning to the optical lattice we find a very complicated energy landscape, which leads to hysteretic evolution. The qualitative structure of the vortex configurations depends on the commensurability between the vortex density and the site density -- with regular lattices when these are commensurate, and concentric rings when they are not. We model the imaging of these structures by calculating time-of-flight column densities. As in the absence of the optical lattice, the vortices are much more easily observed in a time-of-flight image than \emph{in-situ}.

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