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arXiv · 2206.01858

Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential

J. Adriazola·R. H. Goodman·P. G. Kevrekidis
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Abstract

We pose the problem of transferring a Bose-Einstein Condensate (BEC) from one side of a double-well potential to the other as an optimal control problem for determining the time-dependent form of the potential. We derive a reduced dynamical system using a Galerkin truncation onto a finite set of eigenfunctions and find that including three modes suffices to effectively control the full dynamics, described by the Gross-Pitaevskii model of BEC. The functional form of the control is reduced to finite dimensions by using another Galerkin-type method called the chopped random basis (CRAB) method, which is then optimized by a genetic algorithm called differential evolution (DE). Finally, we discuss the extent to which the reduction-based optimal control strategy can be refined by means of including more modes in the Galerkin reduction.

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J. Adriazola, R. H. Goodman, P. G. Kevrekidis. 2022-06-04. Efficient Manipulation of Bose-Einstein Condensates in a Double-Well Potential. https://doi.org/10.1016/j.cnsns.2023.107219

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