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

TL;DR

This paper derives conditions for achieving adiabatic transfer in a triple-well system with negligible central-well population, emphasizing the importance of manipulating well depths and barriers, validated through numerical simulations.

Contribution

It provides analytical conditions for vanishing central-well population during adiabatic transfer, enhancing understanding of coherent tunneling in triple-well systems.

Findings

Analytical expressions for CTAP with negligible central population.

Manipulation of well depths and barriers is crucial.

Numerical validation confirms the conditions.

Abstract

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.