Matter-wave dark solitons in a double-well potential

Abstract

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.

6 pages, 8 figures

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• Quantum Many-Body Dynamics of Dark Solitons in Optical Lattices
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• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Dark solitons in cigar-shaped Bose-Einstein condensates in double-well potentials
• Quantifying Finite Temperature Effects in Atom Chip Interferometry of Bose-Einstein Condensates
• Josephson tunneling of dark solitons in a double-well potential
• Gray/dark soliton behavior and population under a symmetric and asymmetric potential trap
• Dynamical Instability Induced by Zero Mode Under Symmetry Breaking External Perturbation
• Semiclassical dynamics of a dark soliton in a one-dimensional bosonic superfluid in an optical lattice