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

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

Physica A: Statistical Mechanics and its Applications, 2003, vol. 318, issue 3, 423-434

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.

Keywords: Binary condensates; Coupling laser field; Trap displacement; Equilibrium phases; Stability (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:318:y:2003:i:3:p:423-434

DOI: 10.1016/S0378-4371(02)01391-2

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