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Although highly successful, the truncated Wigner approximation (TWA) leavesout many-body quantum interference between mean-field Gross-Pitaevskiisolutions as well as other quantum effects, and is therefore essentiallyclassical. Turned around, this implies that if a system's quantum propertiesdeviate from TWA, they must be exhibiting some quantum phenomenon, such aslocalization, diffraction, or tunneling. Here, we consider in detail aparticular interference effect arising from discrete symmetries, which can leadto a significant enhancement of quantum observables with respect to the TWAprediction, and derive an augmented version of the TWA in order to incorporatethem. Using the Bose-Hubbard model for illustration, we further show strongevidence for the presence of dynamical localization due to remainingdifferences between the TWA predictions and quantum results.

Enhancement of many-body quantum interference in chaotic bosonic systems