Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-08-25
Phys.Rev.A71:033613,2005
Physics
Condensed Matter
Other Condensed Matter
12 pages, 2 figures. We have performed a refined and extended numerical analysis to take into account the very recent results
Scientific paper
10.1103/PhysRevA.71.033613
In the framework of the O(N) three-dimensional effective scalar field model for homogeneous dilute weakly interacting Bose gases we use the 1/N expansion to evaluate, within the large N limit, the parameter r_c which is directly related to the critical chemical potential mu_c. This quantity enters the order-a^2 n^{2/3} coefficient contributing to the critical temperature shift Delta T_c where a represents the s-wave scattering length and n represents the density. Compared to the recent precise numerical lattice simulation results, our calculation suggests that the large N approximation performs rather well even for the physical case N=2. We then calculate the same quantity but using different forms of the optimized perturbative (variational) method, showing that these produce excellent results both for the finite N and large-N cases.
Kneur Jean-Loic
Pinto Marcus B.
No associations
LandOfFree
Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases 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 Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-338531