The stationary solutions of G-P equations in double square well

Details The stationary solutions of G-P equations in double square well The stationary solutions of G-P equations in double square well

2006-09-14

arxiv.org/abs/cond-mat/0609340v3

Phys. Rev. A. 74,063612 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 4 figures

Scientific paper

10.1103/PhysRevA.74.063612

We present analytical stationary solutions for the Gross-Pitaevskii equation (GPE) of a Bose-Einstein condensate (BECs) trapped in a double-well potential. These solutions are compared with those described by [Mahmud et al., PRA \textbf{66}, 063607 (2002)]. In particular, we provide further evidence that symmetry preserving stationary solutions can be reduced to the eigenstates of the corresponding linear Schr\"{o}dinger equation. Moreover, we have found that the symmetry breaking solutions can emerge not only from bifurcations, but also from isolated points in the chemical potential-nonlinear interaction diagram. We also have found that there are some moving nodes in the symmetry breaking solutions.

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