Loading...
Please wait, while we are loading the content...
Similar Documents
Dynamical Laws of the Coupled Gross-pitaevskii Equations for Spin-1 Bose-einstein Condensates ∗
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bao, Weizhu Zhang, Yanzhi |
| Copyright Year | 2010 |
| Abstract | In this paper, we derive analytically the dynamical laws of the coupled Gross- Pitaevskii equations (CGPEs) without/with an angular momentum rotation term and an external magnetic field for modelling nonrotating/rotating spin-1 Bose-Eintein condensates. We prove the conservation of the angular momentum expectation when the external trapping potential is radially symmetric in two dimensions and cylindrically symmetric in three dimensions; obtain a system of first order ordinary differential equations (ODEs) governing the dynamics of the density of each component and solve the ODEs analytically in a few cases; derive a second order ODE for the dynamics of the condensate width and show that it is a periodic function without/with a perturbation; construct the analytical solution of the CGPEs when the initial data is chosen as a stationary state with its center- of-mass shifted away from the external trap center. Finally, these dynamical laws are confirmed by the direct numerical simulation results of the CGPEs. |
| Starting Page | 49 |
| Ending Page | 80 |
| Page Count | 32 |
| File Format | PDF HTM / HTML |
| DOI | 10.4310/MAA.2010.v17.n1.a2 |
| Volume Number | 17 |
| Alternate Webpage(s) | http://web.mst.edu/~zhangyanz/Papers/Bao-Zhang-2010.pdf |
| Alternate Webpage(s) | http://www.intlpress.com/site/pub/files/_fulltext/journals/maa/2010/0017/0001/MAA-2010-0017-0001-a002.pdf |
| Alternate Webpage(s) | http://www.math.nus.edu.sg/~bao/PS/spin-1.pdf |
| Alternate Webpage(s) | https://doi.org/10.4310/MAA.2010.v17.n1.a2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
