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arXiv · 0911.4661

Quantum dynamics of attractive versus repulsive bosonic Josephson junctions: Bose-Hubbard and full-Hamiltonian results

Kaspar Sakmann·Alexej I. Streltsov·Ofir E. Alon·Lorenz S. Cederbaum
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Abstract

The quantum dynamics of one-dimensional bosonic Josephson junctions with attractive and repulsive interparticle interactions is studied using the Bose-Hubbard model and by numerically-exact computations of the full many-body Hamiltonian. A symmetry present in the Bose-Hubbard Hamiltonian dictates an equivalence between the evolution in time of attractive and repulsive Josephson junctions with attractive and repulsive interactions of equal magnitude. The full many-body Hamiltonian does not possess this symmetry and consequently the dynamics of the attractive and repulsive junctions are different.

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Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon, Lorenz S. Cederbaum. 2009-11-24. Quantum dynamics of attractive versus repulsive bosonic Josephson junctions: Bose-Hubbard and full-Hamiltonian results. https://doi.org/10.1103/physreva.82.013620

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