Efficient manipulation of Bose–Einstein Condensates in a double-well potential
Document Type
Article
Publication Date
7-1-2023
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.
Identifier
85151488154 (Scopus)
Publication Title
Communications in Nonlinear Science and Numerical Simulation
External Full Text Location
https://doi.org/10.1016/j.cnsns.2023.107219
ISSN
10075704
Volume
122
Grant
DMS-1809074
Fund Ref
National Science Foundation
Recommended Citation
Adriazola, Jimmie; Goodman, Roy; and Kevrekidis, Panayotis, "Efficient manipulation of Bose–Einstein Condensates in a double-well potential" (2023). Faculty Publications. 1582.
https://digitalcommons.njit.edu/fac_pubs/1582
