Phase separation and dynamics of two-component Bose-Einstein condensates

R. Navarro, R. Carretero-González, and P. G. Kevrekidis
Phys. Rev. A 80, 023613 – Published 20 August 2009

Abstract

We study the interactions between two atomic species in a binary Bose-Einstein condensate to revisit the conditions for miscibility, oscillatory dynamics between the species, steady-state solutions, and their stability. By employing a variational approach for a quasi-one-dimensional, two-atomic species condensate, we obtain equations of motion for the parameters of each species: amplitude, width, position, and phase. A further simplification leads to a reduction of the dynamics into a simple classical Newtonian system where components oscillate in an effective potential with a frequency that depends on the harmonic trap strength and the interspecies coupling parameter. We develop explicit conditions for miscibility that can be interpreted as a phase diagram that depends on the harmonic trap’s strength and the interspecies coupling parameter. We numerically illustrate the bifurcation scenario whereby nontopological, phase-separated states of increasing complexity emerge out of a symmetric state as the interspecies coupling is increased. The symmetry-breaking dynamical evolution of some of these states is numerically monitored and the associated asymmetric states are also explored.

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  • Received 9 June 2009

DOI:https://doi.org/10.1103/PhysRevA.80.023613

©2009 American Physical Society

Authors & Affiliations

R. Navarro1, R. Carretero-González1,*, and P. G. Kevrekidis2

  • 1Department of Mathematics and Statistics, Nonlinear Dynamical Systems Group,† Computational Science Research Center, San Diego State University, San Diego, California 92182-7720, USA
  • 2Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA

  • *http://rohan.sdsu.edu/~rcarrete/
  • http://nlds.sdsu.edu

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Vol. 80, Iss. 2 — August 2009

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