Publication Date
2009
Journal or Book Title
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Abstract
We consider the statics and dynamics of F = 1 spinor Bose–Einstein condensates (BECs) confined in double-well potentials. We use a two-mode Galerkin-type quasi-analytical approximation to describe the stationary states of the system. This way, we are able to obtain not only earlier results based on the single-mode approximation (SMA) frequently used in studies of spinor BECs, but also additional modes that involve either two or all three spinor components of the F = 1 spinor BEC. The results based on this Galerkin-type decomposition are in good agreement with the analysis of the full system. We subsequently analyze the stability of these multi-component states, as well as their dynamics when we find them to be unstable. The instabilities of the symmetric or anti-symmetric states exhibit symmetry-breaking and recurrent asymmetric patterns. Our results yield qualitatively similar bifurcation diagrams both for polar (such as 23Na) and ferromagnetic (such as 87Rb) spinor BECs.
Pages
-
Volume
42
Issue
3
Recommended Citation
Wang, C; Kevrekidis, PG; Whitaker, N; Alexander, TJ; Frantzeskakis, DJ; and Schmelcher, P, "Spinor Bose-Einstein condensates in double-well potentials" (2009). JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 70.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/70
Comments
This is the pre-published version harvested from arXiv. The published version is located at http://iopscience.iop.org/1751-8121/42/3/035201/