@article{38601,
  keywords = {vortex solitons},
  author = {Law and Qiao and Kevrekidis and Kevrekidis},
  title = {Stability of quantized vortices in a Bose-Einstein condensate confined in an optical lattice},
  abstract = { <p>We investigate the existence and especially the linear stability of single- and multiple-charge quantized vortex states of nonlinear Schrodinger equations in the presence of a periodic and a parabolic potential in two spatial dimensions. The study is motivated by an examination of pancake-shaped Bose-Einstein condensates in the presence of magnetic and optical confinement. A two-parameter space of the condensate{\textquoteright}s chemical potential versus the periodic potential{\textquoteright}s strength is scanned for both single- and double-quantized vortex states located at a local minimum or a local maximum of the lattice. Triple-charged vortices are also briefly discussed. Single-charged vortices are found to be stable for cosinusoidal potentials and unstable for sinusoidal ones above a critical strength. Higher-charge vortices are more unstable for both types of potentials, and their dynamical evolution leads to a breakup into single-charged vortices.</p> },
  year = {2008},
  journal = {Physical Review A},
  volume = {77},
  pages = {053612},
  month = {05/2008},
  isbn = {1050-2947},
  language = {English},
}