Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2010-02-07
Phys. Rev. A 82, 023615 (2010)
Nonlinear Sciences
Pattern Formation and Solitons
Scientific paper
10.1103/PhysRevA.82.023615
We consider dynamics of Bose-Einstein condensates with long-range attractive interaction proportional to $1/r^b$ and arbitrary angular dependence. It is shown exactly that collapse of Bose-Einstein condensate without contact interactions is possible only for $b\ge 2$. Case $b=2$ is critical and requires number of particles to exceed critical value to allow collapse. Critical collapse in that case is strong one trapping into collapsing region a finite number of particles. Case $b>2$ is supercritical with expected weak collapse which traps rapidly decreasing number of particles during approach to collapse. For $b<2$ singularity at $r=0$ is not strong enough to allow collapse but attractive $1/r^b$ interaction admits stable self-trapping even in absence of external trapping potential.
No associations
LandOfFree
Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction 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 Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction potential, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction potential will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-582816