Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-05-16
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1103/PhysRevA.74.013623
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.
Bohn John. L.
Bortolotti Daniele E. C.
Ronen Shai
No associations
LandOfFree
Bogoliubov modes of a dipolar condensate in a cylindrical trap does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Bogoliubov modes of a dipolar condensate in a cylindrical trap, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bogoliubov modes of a dipolar condensate in a cylindrical trap will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-275640