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Typical treatments of superconducting or superfluid Josephson junctions relyon mean-field or two-mode models; we explore many-body dynamics of an isolated,ultracold, Bose-gas long Josephson junction using time-evolving blockdecimation simulations. We demonstrate that with increasing repulsiveinteraction strength, localized dynamics emerge that influence macroscopiccondensate behavior and can lead to formation of solitons that directly opposethe symmetry of the junction. Initial state population and phase yield insightinto dynamic tunneling regimes of a quasi one-dimensional double wellpotential, from Josephson oscillations to macroscopic self-trapping. Populationimbalance simulations reveal substantial deviation of many-body dynamics frommean-field Gross-Pitaevskii predictions, particularly as the barrier height andinteraction strength increase. In addition, the sudden approximation supportslocalized particle-hole formation after a diabatic quench, and correlationmeasures unveil a new dynamic regime: the Fock flashlight.

For high-precision bosonic Josephson junctions, many-body effects matter