Efficient manipulation of Bose–Einstein Condensates in a double-well potential

Jimmie Adriazola, Roy Goodman, Panayotis Kevrekidis

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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.

Original languageEnglish (US)
Article number107219
JournalCommunications in Nonlinear Science and Numerical Simulation
StatePublished - Jul 2023

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Applied Mathematics


  • Galerkin methods
  • Hamiltonian dynamical systems
  • Quantum control


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