Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-12-21
Physics
Condensed Matter
Quantum Gases
Version slightly revised and expanded to include a more detailed discussion of the chaotic regime
Scientific paper
In a system of ac-driven condensed bosons we study a new type of Josephson effect occurring between states sharing the same region of space and the same internal atom structure. We first develop a technique to calculate the long time dynamics of a driven interacting many-body system. For resonant frequencies, this dynamics can be shown to derive from an effective Hamiltonian whose operators satisfy standard commutation rules. Within the subspace of resonant states, and if the undriven states are plane waves, a locally repulsive interaction between bosons translates into an effective attraction. We apply the method to study the effect of interactions on the coherent ratchet current of an asymmetrically driven boson system. We find a wealth of dynamical regimes which includes Rabi oscillations, self-trapping, and chaotic behavior. In the latter case, a full many-body calculation deviates from the mean-field results by predicting large quantum fluctuations of the relative particle number.
Carr Lincoln D.
Creffield Charles E.
Heimsoth Martin
Sols Fernando
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