Record link: 
http://hdl.handle.net/20.500.12708/190104
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Title: 
Optimal control of quasi-1D Bose gases in optical box potentials
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Citation: 
Deutschmann-Olek, A., Schrom, K., Würkner, N., Schmiedmayer, J., Erne, S., & Kugi, A. (2023). Optimal control of quasi-1D Bose gases in optical box potentials. In H. Ishii, Y. Ebihara, J. Imura, & M. Yamakita (Eds.), 22nd IFAC World Congress (pp. 1339–1344). Elsevier. https://doi.org/10.1016/j.ifacol.2023.10.1781
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Publisher DOI: 
10.1016/j.ifacol.2023.10.1781
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Publication Type: 
Inproceedings - Full-Paper Contribution
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Language: 
English
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Authors: 
Deutschmann-Olek, A. 
Schrom, K. 
Würkner, N. 
Schmiedmayer, J. 
Erne, Sebastian 
Kugi, Andreas 
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Organisational Unit: 
E376-02 - Forschungsbereich Komplexe Dynamische Systeme 
E141-02 - Forschungsbereich Atom Physics and Quantum Optics 
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Published in: 
22nd IFAC World Congress 
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Volume: 
56, 2
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Date (published): 
2023
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Event name: 
22nd IFAC World Congress 
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Event date: 
9-Jul-2023 - 14-Jul-2023
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Event place: 
Yokohama, Japan
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Number of Pages: 
6
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Publisher: 
Elsevier
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Keywords: 
optimal control; partial differential equations; non-polynomial Schrödinger equation; Bose gases; ultra cold atoms
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Abstract: 
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.
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Research Areas: 
Mathematical and Algorithmic Foundations: 50%
Modeling and Simulation: 50%
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Science Branch: 
2020 - Elektrotechnik, Elektronik, Informationstechnik: 100%
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Appears in Collections:
Conference Paper

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