Physics – Condensed Matter
Scientific paper
1996-07-24
Physics
Condensed Matter
14 pages, RevTeX, submitted to Journal of Low Temperature Physics
Scientific paper
10.1007/BF02395929
A two-parameter trial condensate wave function is used to find an approximate variational solution to the Gross-Pitaevskii equation for $N_0$ condensed bosons in an isotropic harmonic trap with oscillator length $d_0$ and interacting through a repulsive two-body scattering length $a>0$. The dimensionless parameter ${\cal N}_0 \equiv N_0a/d_0$ characterizes the effect of the interparticle interactions, with ${\cal N}_0 \ll 1$ for an ideal gas and ${\cal N}_0 \gg 1$ for a strongly interacting system (the Thomas-Fermi limit). The trial function interpolates smoothly between these two limits, and the three separate contributions (kinetic energy, trap potential energy, and two-body interaction energy) to the variational condensate energy and the condensate chemical potential are determined parametrically for any value of ${\cal N}_0$, along with illustrative numerical values. The straightforward generalization to an anisotropic harmonic trap is considered briefly.
No associations
LandOfFree
Variational study of a dilute Bose condensate in a harmonic 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 Variational study of a dilute Bose condensate in a harmonic trap, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Variational study of a dilute Bose condensate in a harmonic trap will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-413874