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

H. Mäkelä, M. Johansson, M. Zelan, and E. Lundh
Phys. Rev. A 84, 043646 – Published 31 October 2011

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 23Na condensate. The wavelengths of this instability can be controlled by tuning the strength of the magnetic field. In a 87Rb 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.

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  • Received 8 September 2011

DOI:https://doi.org/10.1103/PhysRevA.84.043646

©2011 American Physical Society

Authors & Affiliations

H. Mäkelä1, M. Johansson2, M. Zelan1,3, and E. Lundh1

  • 1Department of Physics, Umeå  University, SE-901 87 Umeå, Sweden
  • 2Department of Physics, Chemistry and Biology, Linköping University, SE-581 83 Linköping, Sweden
  • 3Joint Quantum Institute, National Institute of Standards and Technology and University of Maryland, Gaithersburg, Maryland 20899, USA

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Issue

Vol. 84, Iss. 4 — October 2011

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