Optimal control of quasi-1D Bose gases in optical box potentials

Andreas Deutschmann-Olek, Katharina Schrom, Nikolaus Würkner, Jörg Schmiedmayer, Sebastian Erne, Andreas Kugi

Publikation: Beitrag in Buch oder TagungsbandVortrag mit Beitrag in TagungsbandBegutachtung


In this paper, we investigate the manipulation of quasi-1D Bose gases that are trapped in a highly elongated potential by optimal control methods. The effective mean-field dynamics of the gas can be described by a one-dimensional non-polynomial Schrödinger equation. We extend the indirect optimal control method for the Gross-Pitaevskii equation by Winckel and Borzì (2008) to obtain necessary optimality conditions for state and energy cost functionals. This approach is then applied to optimally compress a quasi-1D Bose gase in an (optical) box potential, i.e., to find a so-called short-cut to adiabaticity, by solving the optimality conditions numerically. The behavior of the proposed method is finally analyzed and compared to simple direct optimization strategies using reduced basis functions. Simulations results demonstrate the feasibility of the proposed approach.

Previous article in issue
TitelProceedings of the 22nd IFAC World Congress
PublikationsstatusVeröffentlicht - 22 Nov. 2023
Veranstaltung22nd IFAC World Congress - Yokohama, Japan
Dauer: 9 Juli 202314 Juli 2023


Konferenz22nd IFAC World Congress

Research Field

  • Complex Dynamical Systems


Untersuchen Sie die Forschungsthemen von „Optimal control of quasi-1D Bose gases in optical box potentials“. Zusammen bilden sie einen einzigartigen Fingerprint.

Diese Publikation zitieren