Two-Component Nonlinear Schrodinger Models with a Double-Well Potential

Details Two-Component Nonlinear Schrodinger Models with a Double-Well Potential Two-Component Nonlinear Schrodinger Models with a Double-Well Potential

2008-04-30

arxiv.org/abs/0805.0023v1

Nonlinear Sciences

Pattern Formation and Solitons

17 pages, 12 figures, Physica D, in press

Scientific paper

10.1016/j.physd.2008.04.023

We introduce a model motivated by studies of Bose-Einstein condensates (BECs) trapped in double-well potentials. We assume that a mixture of two hyperfine states of the same atomic species is loaded in such a trap.The analysis is focused on symmetry-breaking bifurcations in the system, starting at the linear limit and gradually increasing the nonlinearity. Depending on values of the chemical potentials of the two species, we find numerous states, as well as symmetry-breaking bifurcations, in addition to those known in the single-component setting. These branches, which include all relevant stationary solutions of the problem, are predicted analytically by means of a two-mode approximation, and confirmed numerically. For unstable branches, outcomes of the instability development are explored in direct simulations.

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