Many-Body Adiabatic Passage: Instability, Chaos, and Quantum Classical Correspondence

Adiabatic passage in systems of interacting bosons is substantially affected by interactions and interparticle entanglement. We consider stimulated raman-adiabatic-passage-like schemes in Bose-Hubbard chains that exhibit low-dimensional chaos (a three-site chain) and high-dimensional chaos (more than three sites). The dynamics that is generated by a transfer protocol exhibits striking classical and quantum chaos fingerprints that are manifested in the mean-field classical treatment, in the truncated Wigner semiclassical treatment, and in the full many-body quantum simulations.