Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2002-10-08
J. Phys. B: At. Mol. Opt. Phys. 36 (2003) 2501-2514
Physics
Condensed Matter
Soft Condensed Matter
14 Latex pages, 2 eps figures, accepted in Journal of Physics B
Scientific paper
10.1088/0953-4075/36/12/310
We suggest a pseudospectral method for solving the three-dimensional time-dependent Gross-Pitaevskii (GP) equation and use it to study the resonance dynamics of a trapped Bose-Einstein condensate induced by a periodic variation in the atomic scattering length. When the frequency of oscillation of the scattering length is an even multiple of one of the trapping frequencies along the $x$, $y$, or $z$ direction, the corresponding size of the condensate executes resonant oscillation. Using the concept of the differentiation matrix, the partial-differential GP equation is reduced to a set of coupled ordinary differential equations which is solved by a fourth-order adaptive step-size control Runge-Kutta method. The pseudospectral method is contrasted with the finite-difference method for the same problem, where the time evolution is performed by the Crank-Nicholson algorithm. The latter method is illustrated to be more suitable for a three-dimensional standing-wave optical-lattice trapping potential.
Adhikari Sadhan K.
Muruganandam Paulsamy
No associations
LandOfFree
Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods 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 Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-548827