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Wentzel-Kramers-Brillouin approach and quantum corrections to classical dynamics in the Josephson problem

Wentzel-Kramers-Brillouin approach and quantum corrections to classical dynamics in the Josephson problem

We apply a many-body Wentzel-Kramers-Brillouin (WKB) approach to determine the leading quantum corrections to the semiclassical dynamics of the Josephson model, describing interacting bosons able to tunnel between two localized states. The semiclassical dynamics is known to divide between regular oscillations and self-trapped oscillations where the sign of the imbalance …