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We study the dynamical properties of a few bosons confined in anone-dimensional split hard wall trap with the interaction strength varying fromthe weakly to strongly repulsive regime. The system is initially prepared inone side of the double well by setting the barrier strength of the split trapto be infinity and then the barrier strength is suddenly changed to a finitevalue. Both exact diagonalization method and Bose-Hubbard model (BHM)approximation are used to study the dynamical evolution of the initial system.The exact results based on exact diagonaliztion verify the enhancement ofcorrelated tunneling in the strongly interacting regime. Comparing resultsobtained by two different methods, we conclude that one-band BHM approximationcan well describe the dynamics in the weakly interacting regime, but is notefficient to give quantitatively consistent results in the strongly interactingregime. Despite of the quantitative discrepancy, we validate that the form ofcorrelated tunneling gives an important contribution to tunneling in the largeinteraction regime. To get a quantitative description for the dynamics ofbosons in the strongly interacting regime, we find that a multi-band BHMapproximation is necessary.

journal of physics. b, atomic molecular and optical physics/journal of physics. b, atomic, molecular and optical physics

Comparative study of quantum dynamics of a few bosons in a  one-dimensional split hard-wall trap: exact results versus Bose-Hubbard-model  approximations