Coherent tunneling via adiabatic passage in a three-well Bose-Hubbard system

摘要

We apply the Bose-Hubbard Hamiltonian to a three-well system and show analytically that coherent transportnvia adiabatic passage (CTAP) of N noninteracting particles across the chain is possible.We investigate the effectnof detuning the middle well to recover CTAP when onsite interparticle interactions would otherwise disrupt thentransport. The case of small interactions is restated using first-order perturbation theory to develop criteria fornadiabaticity that define the regime where CTAP is possible. Within this regime we investigate restricting thenHilbert space to the minimum necessary basis needed to demonstrate CTAP, which dramatically increases thennumber of particles that can be efficiently considered. Finally, we compare the results of the Bose-Hubbard modelnto a mean-field three-mode Gross-Pitaevskii analysis for the equivalent system.