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

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

2008-10-19

arxiv.org/abs/0810.3372v1

Phys. Rev. A 79, 012113 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages; 3 figures

Scientific paper

10.1103/PhysRevA.79.012113

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 \emph{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 Schr\"{o}dinger equation. The transfer process is interpreted in terms of a current through the central well.

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