Efficient numerical simulation of bubble-shaped Bose-Einstein condensates
ORAL
Abstract
Simulating the static and dynamic properties of Bose-Einstein condensates (BECs) is central to quantum gas research, supporting both the interpretation of experimental data and the development of optimal control protocols. However, the case of bubble-shaped BECs is particularly challenging for numerical simulations due to the inherently three-dimensional, hollow, and thin geometry. This unique quantum gas topology is expected to give rise to novel superfluid dynamics analogous to atmospheric turbulence [1-3]. These systems also have the potential to explore analogues of astrophysical phenomena in a controlled, tabletop setting [4]. Microgravity environments are ideally suited for realizing this unique quantum system, making it one of the research objectives of the Cold Atom Laboratory on board the International Space Station [5].
We report on the development of a finite-difference simulation method which addresses the challenges of simulating the dynamcics of bubble-shaped Bose-Einstein condensates, achieved by selective spatial sampling and the use of a semi-structured grid. Our method significantly reduces memory requirements and provides more than an order of magnitude increase in computation speed. The structure of our algorithm supports highly parallelized execution on GPUs, enabling large-scale simulations of bubble-shaped BEC dynamics.
Finally, we use this method to simulate the realization of bubble BECs via a controlled hollowing-out process, using ab-initio trapping potentials specific for the Cold Atom Laboratory. We analyze the excitation of phonon modes during this transition and investigate the timescales and parameter ramps required for adiabatic evolution thereby assessing the viability of the proposed experimental protocol.
References
[1] M. A. Caracanhas et al., Phys. Rev. A 105, 023307 (2022)
[2] A. Tononi et al., Phys. Rev. Res. 4, 013122 (2022)
[3] G. Li, and D. K. Efimkin, Phys. Rev. A 107, 023319 (2023)
[4] A. K. Verma et al., Phys. Rev. Res. 4, 013026 (2022)
[5] R. A. Carollo et al., Nature 606, 281-286 (2022)
We report on the development of a finite-difference simulation method which addresses the challenges of simulating the dynamcics of bubble-shaped Bose-Einstein condensates, achieved by selective spatial sampling and the use of a semi-structured grid. Our method significantly reduces memory requirements and provides more than an order of magnitude increase in computation speed. The structure of our algorithm supports highly parallelized execution on GPUs, enabling large-scale simulations of bubble-shaped BEC dynamics.
Finally, we use this method to simulate the realization of bubble BECs via a controlled hollowing-out process, using ab-initio trapping potentials specific for the Cold Atom Laboratory. We analyze the excitation of phonon modes during this transition and investigate the timescales and parameter ramps required for adiabatic evolution thereby assessing the viability of the proposed experimental protocol.
References
[1] M. A. Caracanhas et al., Phys. Rev. A 105, 023307 (2022)
[2] A. Tononi et al., Phys. Rev. Res. 4, 013122 (2022)
[3] G. Li, and D. K. Efimkin, Phys. Rev. A 107, 023319 (2023)
[4] A. K. Verma et al., Phys. Rev. Res. 4, 013026 (2022)
[5] R. A. Carollo et al., Nature 606, 281-286 (2022)
*This work was supported by the National Aeronautics and Space Administration (NASA) Science Mission Directorate, Division of Biological and Physical Sciences (BPS).
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Publication: Planned paper: A. Beregi, J.-B. Gerent, and N. Lundblad, Efficient simulation of Bose-Einstein condensates in exotic geometries.
Presenters
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Abel Beregi
- Bates College