Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon, Lorenz S. Cederbaum
The many-body Schr\"odinger dynamics of a one-dimensional bosonic Josephson junction is investigated for up to ten thousand bosons and long times. The initial states are fully condensed and the interaction strength is weak. We report on a universal fragmentation dynamics on the many-body level: systems consisting of different numbers of particles fragment to the same value at constant mean-field interaction strength. Using the Bose-Hubbard model we show how the value of the universal fragmentation dynamics can be predicted from the initial state. The analysis allows the prediction of the extent to which many-body effects become important in the dynamics at much later times.Even for the largest particle numbers and the weakest interaction strengths the dynamics is many-body in nature and the fragmentation universal. Implications are discussed.
View original:
http://arxiv.org/abs/1207.1011
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