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We present the quantum and classical study of a four-well trappedBose-Einstein condensate (BEC) modeled by the Bose-Hubbard Hamiltonian. Themodel used is fashioned as a minimal bipartite system consisting of a trimercoupled weakly to a monomer. Semiclassical insights into the fragmentationdynamics of the condensate is obtained by mapping out the Arnold web of thehigh dimensional classical phase space. A remarkable one-to-one correspondencebetween the quantum state space in occupation number representation and theclassical Arnold web in action space is observed. The relevance of dynamicaltunneling for the dynamics of Fock states near resonance junctions on theArnold web is highlighted. We also predict the possibility of manipulating thetransport within the trimer subsystem due to the weak coupling to the monomer.

Arnold web and dynamical tunneling in a four-site Bose-Hubbard model