Identification and optimal control strategies for the transversal splitting of ultra--cold Bose gases
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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916997769461760 |
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| author | Würkner, Nikolaus Kuriatnikov, Yevhenii Kumaran, Karthikeyan Ramana, M Venkat Schmiedmayer, Jörg Kugi, Andreas Prüfer, Maximilian Deutschmann-Olek, Andreas |
| author_facet | Würkner, Nikolaus Kuriatnikov, Yevhenii Kumaran, Karthikeyan Ramana, M Venkat Schmiedmayer, Jörg Kugi, Andreas Prüfer, Maximilian Deutschmann-Olek, Andreas |
| contents | Splitting a Bose--Einstein condensate (BEC) is a key operation in fundamental physics experiments and emerging quantum technologies, where precise preparation of well--defined initial states requires fast yet coherent control of the condensate's nonlinear dynamics. This work formulates the BEC splitting process as an optimal feedforward control problem based on a physically interpretable, reduced--order model identified from limited experimental data. We introduce a systematic calibration strategy that combines optimal experiment selection and constrained nonlinear parameter estimation, enabling accurate system identification with minimal experimental overhead. Using this calibrated model, we compute energy--optimal trajectories via indirect optimal control to realize shortcuts to adiabaticity (STAs), achieving rapid transitions to the ground state of a double--well potential while suppressing excitations. Experiments confirm that the proposed control framework yields high--fidelity state transfers across multiple configurations, demonstrating its robustness and scalability for quantum control applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07113 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Identification and optimal control strategies for the transversal splitting of ultra--cold Bose gases Würkner, Nikolaus Kuriatnikov, Yevhenii Kumaran, Karthikeyan Ramana, M Venkat Schmiedmayer, Jörg Kugi, Andreas Prüfer, Maximilian Deutschmann-Olek, Andreas Systems and Control Quantum Gases Splitting a Bose--Einstein condensate (BEC) is a key operation in fundamental physics experiments and emerging quantum technologies, where precise preparation of well--defined initial states requires fast yet coherent control of the condensate's nonlinear dynamics. This work formulates the BEC splitting process as an optimal feedforward control problem based on a physically interpretable, reduced--order model identified from limited experimental data. We introduce a systematic calibration strategy that combines optimal experiment selection and constrained nonlinear parameter estimation, enabling accurate system identification with minimal experimental overhead. Using this calibrated model, we compute energy--optimal trajectories via indirect optimal control to realize shortcuts to adiabaticity (STAs), achieving rapid transitions to the ground state of a double--well potential while suppressing excitations. Experiments confirm that the proposed control framework yields high--fidelity state transfers across multiple configurations, demonstrating its robustness and scalability for quantum control applications. |
| title | Identification and optimal control strategies for the transversal splitting of ultra--cold Bose gases |
| topic | Systems and Control Quantum Gases |
| url | https://arxiv.org/abs/2510.07113 |