Optimal conditions for spatial adiabatic passage of a Bose-Einstein condensate

TL;DR

This paper analytically determines the optimal conditions for efficient Bose-Einstein condensate transport via spatial adiabatic passage in a triple well system, emphasizing the role of non-linearity and on-site energy differences.

Contribution

It introduces an analytical framework for optimizing non-linear parameters and on-site energies to enhance condensate transport efficiency in a triple well potential.

Findings

High-efficiency transport plateau due to non-linearity

Robustness of transport against on-site energy variations

Enhanced plateau width with different non-linearities in wells

Abstract

We investigate spatial adiabatic passage of a Bose-Einstein condensate in a triple well potential within the three-mode approximation. By rewriting the dynamics in the so-called time-dependent dark/dressed basis, we analytically derive the optimal conditions for the non-linear parameter and the on-site energies of each well to achieve a highly efficient condensate transport. We show that the non-linearity yields a high-efficiency plateau for the condensate transport as a function of the on-site energy difference between the outermost wells, favoring the robustness of the transport. We also analyze the case of different non-linearities in each well, which, for certain parameter values, leads to an increase of the width of this plateau.