@article{1600,
  author = {Shai Ronen and D. Bortolotti and John Bohn},
  title = {Bogoliubov modes of a dipolar condensate in a cylindrical trap},
  abstract = {The calculation of properties of Bose-Einstein condensates with dipolar interactions has proven a computationally intensive problem due to the long range nature of the interactions, limiting the scope of applications. In particular, the lowest lying Bogoliubov excitations in three-dimensional harmonic trap with cylindrical symmetry were so far computed in an indirect way, by Fourier analysis of time-dependent perturbations, or by approximate variational methods. We have developed a very fast and accurate numerical algorithm based on the Hankel transform for calculating properties of dipolar Bose-Einstein condensates in cylindrically symmetric traps. As an application, we are able to compute many excitation modes by directly solving the Bogoliubov-De Gennes equations. We explore the behavior of the excited modes in different trap geometries. We use these results to calculate the quantum depletion of the condensate by a combination of a computation of the exact modes and the use of a local density approximation.},
  year = {2006},
  journal = {Physical Review A},
  volume = {74},
  pages = {013623},
  month = {2006-07},
  issn = {1050-2947},
  doi = {10.1103/PhysRevA.74.013623},
}