Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-10-31
New J. Phys. 5 (2003) 112
Physics
Condensed Matter
Soft Condensed Matter
13 pages, 7 figures, movies and published paper available at http://www.iop.org/EJ/abstract/1367-2630/5/1/112
Scientific paper
10.1088/1367-2630/5/1/112
We investigate the superfluid properties of a Bose-Einstein condensate (BEC) trapped in a one dimensional periodic potential. We study, both analytically (in the tight binding limit) and numerically, the Bloch chemical potential, the Bloch energy and the Bogoliubov dispersion relation, and we introduce {\it two} different, density dependent, effective masses and group velocities. The Bogoliubov spectrum predicts the existence of sound waves, and the arising of energetic and dynamical instabilities at critical values of the BEC quasi-momentum which dramatically affect its coherence properties. We investigate the dependence of the dipole and Bloch oscillation frequencies in terms of an effective mass averaged over the density of the condensate. We illustrate our results with several animations obtained solving numerically the time-dependent Gross-Pitaevskii equation.
Menotti Chiara
Smerzi Augusto
Trombettoni Andrea
No associations
LandOfFree
Superfluid Dynamics of a Bose-Einstein Condensate in a Periodic Potential 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 Superfluid Dynamics of a Bose-Einstein Condensate in a Periodic Potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superfluid Dynamics of a Bose-Einstein Condensate in a Periodic Potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-635103