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arXiv:cond-mat/0202093 · Physica A Statistical Mechanics and its Applications

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

Chi-Yong Lin, E.J.V. de Passos, Mahir Saleh Hussein, Da-Shin Lee, A.F.R.de Toledo Piza

Published Feb 1, 2003• 3 citations
arXivHTMLPDF
DOI
10.1016/s0378-4371(02)01391-2

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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.