Stability of nonstationary states of spin-1 Bose-Einstein condensates

• Published in: arXiv.org
• Main Authors: Mäkelä, H, Johansson, M, Zelan, M, Lundh, E
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 31.10.2011
• Subjects: Bose-Einstein condensates; Control stability; Magnetic fields; Magnetism; Matter & antimatter; Physics - Quantum Gases; Stability analysis
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1109.1723

The stability of nonstationary states of homogeneous spin-1 Bose-Einstein condensates is studied by performing Bogoliubov analysis in a frame of reference where the state is stationary. In particular, the effect of an external magnetic field is examined. It is found that a nonzero magnetic field introduces instability in a \(^{23}\)Na condensate. The wavelengths of this instability can be controlled by tuning the strength of the magnetic field. In a \(^{87}\)Rb condensate this instability is present already at zero magnetic field. Furthermore, an analytical bound for the size of a stable condensate is found, and a condition for the validity of the single-mode approximation is presented. Realization of the system in a toroidal trap is discussed and the full time development is simulated.