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Equilibrium and stability properties of a coupled two-component Bose–Einstein condensate

Author

Listed:
  • Lin, Chi-Yong
  • de Passos, E.J.V.
  • Hussein, M.S.
  • Lee, Da-Shin
  • Toledo Piza, A.F.R.de

Abstract

The equilibrium and stability properties of a coupled two-component BEC is studied using a variational method and the one-dimensional model of Williams and collaborators. The variational parameters are the population fraction, translation and scaling transformation of the condensate densities, assumed to have a Gaussian shape. We study the equilibrium and stability properties as a function of the strength of the laser field and the traps displacement. We find many branches of equilibrium configurations, with a host of critical points. In all the cases, the signature of the onset of criticality is the collapse of a normal mode which is a linear combination of the out-of-phase translation and an in-phase breathing oscillation of the condensate densities. Our calculations also indicate that we have symmetry breaking effects when the traps are not displaced.

Suggested Citation

  • Lin, Chi-Yong & de Passos, E.J.V. & Hussein, M.S. & Lee, Da-Shin & Toledo Piza, A.F.R.de, 2003. "Equilibrium and stability properties of a coupled two-component Bose–Einstein condensate," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 318(3), pages 423-434.
    • Handle: RePEc:eee:phsmap:v:318:y:2003:i:3:p:423-434
    DOI: 10.1016/S0378-4371(02)01391-2
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