Quantum chaos in a Bose-Hubbard dimer with modulated tunneling

摘要: In the large-N, classical limit, Bose-Hubbard dimer undergoes a transition to chaos when its tunneling rate is modulated in time. We use exact and approximate numerical simulations determine features of dynamically evolving state that are correlated with presence limit. propose statistical distance between initially similar number distributions as reliable measure distinguish regular from chaotic behavior quantum dynamics. Besides being experimentally accessible, can be efficiently reconstructed numerically binned phase-space trajectories truncated Wigner approximation. Although function becomes very irregular regions, method nevertheless able capture accurately beyond-mean-field