Conditions for Vanishing Central-well Population in Triple-well Adiabatic Transport

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Analytical expressions are derived for coherent tunneling via adiabatic passage (CTAP) in a triple well system with negligible central-well population at all times during the transfer. It is shown that a manipulation of the depths of the extreme-wells, correlated with the time variation of the non-adjacent barriers is essential for maintaining vanishing population of the central well. The validity of our conditions are demonstrated with a numerical solution of the time-dependent Schrödinger equation. The transfer process is interpreted in terms of a current through the central well.