Matter-wave dark solitons in a double-well potential

Details Matter-wave dark solitons in a double-well potential Matter-wave dark solitons in a double-well potential

2008-09-12

arxiv.org/abs/0809.2216v1

Phys. Rev. A 78, 063604 (2008)

Physics

Condensed Matter

Other Condensed Matter

6 pages, 8 figures

Scientific paper

10.1103/PhysRevA.78.063604

We study stability of the first excited state of quasi-one-dimensional Bose-Einstein condensates in a double-well potential, which is called "$\pi$-state". The density notch in the $\pi$-state can be regarded as a standing dark soliton. From the excitation spectrum, we determine the critical barrier height, above which the $\pi$-state is dynamically unstable. We find that the critical barrier height decreases monotonically as the number of condensate atoms increases. We also simulate the dynamics of the $\pi$-state by solving the time-dependent Gross-Pitaevskii equation. We show that due to the dynamical instability the dark soliton starts to move away from the trap center and exhibits a large-amplitude oscillation.

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