Surrogate-assisted three-dimensional Gross-Pitaevskii characterization of Bose-Einstein condensate transport on an atom chip
Abstract
We develop a surrogate-assisted workflow for millimeter-scale transport of a 87Rb Bose--Einstein condensate (BEC) on a multi-wire atom chip. Gradient-based inverse optimization generates 42 current schedules spanning seven regularization strengths and six transport durations. A low-cost Gaussian phase-space model ranks these schedules by endpoint overlap at three atom numbers. A Thomas--Fermi scaling (Ermakov) model estimates cloud dimensions for case-specific moving-grid construction. We then evaluate selected schedules in detail with the three-dimensional Gross--Pitaevskii equation (GPE). At N=103 and T=0.5 s, the surrogate predicts a larger axial center-of-mass (COM) excursion than at longer durations. The GPE confirms this prediction and reveals sloshing that persists through delivery, with an endpoint fidelity F3D=0.9244. For all five longer transports, the surrogate predicts near-unit endpoint overlap for the top-ranked schedules, and GPE propagation using these schedules gives F3D>0.9997. At N=104 and T=2.0 s, the surrogate-selected schedule similarly gives F3D=0.999932. These results demonstrate that the surrogate estimates provide a useful low-cost basis for candidate screening, while GPE propagation resolves the transport dynamics and the delivered condensate state.
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BibTeX
@misc{shibuya2026surrogateassisted,
title = {{Surrogate-assisted three-dimensional Gross-Pitaevskii characterization of Bose-Einstein condensate transport on an atom chip}},
author = {Naoki Shibuya},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.13762},
eprint = {2609.13762},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.13762},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Surrogate-assisted three-dimensional Gross-Pitaevskii characterization of Bose-Einstein condensate transport on an atom chip
AU - Naoki Shibuya
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.13762
UR - https://arxiv.org/abs/2609.13762
AB - We develop a surrogate-assisted workflow for millimeter-scale transport of a ^87Rb Bose--Einstein condensate (BEC) on a multi-wire atom chip. Gradient-based inverse optimization generates 42 current schedules spanning seven regularization strengths and six transport durations. A low-cost Gaussian phase-space model ranks these schedules by endpoint overlap at three atom numbers. A Thomas--Fermi scaling (Ermakov) model estimates cloud dimensions for case-specific moving-grid construction. We then evaluate selected schedules in detail with the three-dimensional Gross--Pitaevskii equation (GPE). At N=10^3 and T=0.5 s, the surrogate predicts a larger axial center-of-mass (COM) excursion than at longer durations. The GPE confirms this prediction and reveals sloshing that persists through delivery, with an endpoint fidelity F_3D=0.9244. For all five longer transports, the surrogate predicts near-unit endpoint overlap for the top-ranked schedules, and GPE propagation using these schedules gives F_3D>0.9997. At N=10^4 and T=2.0 s, the surrogate-selected schedule similarly gives F_3D=0.999932. These results demonstrate that the surrogate estimates provide a useful low-cost basis for candidate screening, while GPE propagation resolves the transport dynamics and the delivered condensate state.
ER -