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

Abstract

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.

12 pages, 10 figures. v2: minor revisions and corrections

References in corpus (7)

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• Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
• Spinor Dynamics in an Antiferromagnetic Spin-1 Condensate
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Cited by in corpus (5)

• Dipolar and spinor bosonic systems
• Single-domain Bose condensate magnetometer achieves energy resolution per bandwidth below $\hslash$
• Exact analytical soliton solutions in dipolar BEC
• Interferometric measurement of interhyperfine scattering lengths in ${}^{87}$Rb
• Excitation spectrum of a toroidal spin-1 Bose-Einstein condensate