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Wolf, Alexander and Konotop, Vladimir and Efremov, Maxim (2024) Solitons on the surface of a sphere. DPG-Frühjahrstagung der Sektion Atome, Moleküle, Quantenoptik und Photonik (SAMOP), 2024-03-11, Freiburg im Breisgau. (Unpublished)
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Abstract
The recent realization of ultracold quantum gases in a shell geometry [1] paves the way towards a Bose-Einstein condensate (BEC) that is trapped tightly onto the surface of a sphere. We investigate the existence and stability of solitons that appear in this system using the two-dimensional (2D) Gross-Pitaevskii equations (GPE). Comparing our results to the 2D plane, we find that the scale invariance of the GPE is broken due to the curvature and compactness of the shell geometry. Consequently, the familiar Townes solitons [2] appear only when the BEC is strongly localized in a small region of the sphere surface.
[1] R. A. Carollo et al., Nature (London) 606, 281 (2022).
[2] B. Bakkali-Hassani et al., Phys. Rev. Lett. 127, 023603 (2021).
| Item URL in elib: | https://elib.dlr.de/204571/ | ||||||||||||||||
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| Document Type: | Conference or Workshop Item (Speech) | ||||||||||||||||
| Title: | Solitons on the surface of a sphere | ||||||||||||||||
| Authors: |
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| Date: | 2024 | ||||||||||||||||
| Refereed publication: | No | ||||||||||||||||
| Open Access: | No | ||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||
| In SCOPUS: | No | ||||||||||||||||
| In ISI Web of Science: | No | ||||||||||||||||
| Status: | Unpublished | ||||||||||||||||
| Keywords: | Bose-Einstein condensate; Soliton; Nonlinear Schrödinger equation | ||||||||||||||||
| Event Title: | DPG-Frühjahrstagung der Sektion Atome, Moleküle, Quantenoptik und Photonik (SAMOP) | ||||||||||||||||
| Event Location: | Freiburg im Breisgau | ||||||||||||||||
| Event Type: | international Conference | ||||||||||||||||
| Event Date: | 11 March 2024 | ||||||||||||||||
| Organizer: | DPG e.V. | ||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||
| HGF - Program: | Space | ||||||||||||||||
| HGF - Program Themes: | Communication, Navigation, Quantum Technology | ||||||||||||||||
| DLR - Research area: | Raumfahrt | ||||||||||||||||
| DLR - Program: | R KNQ - Communication, Navigation, Quantum Technology | ||||||||||||||||
| DLR - Research theme (Project): | R - Project Less and multiparticle physics with quantum waves | ||||||||||||||||
| Location: | Ulm | ||||||||||||||||
| Institutes and Institutions: | Institute of Quantum Technologies > Theoretical Quantum Physics | ||||||||||||||||
| Deposited By: | Wolf, Alexander | ||||||||||||||||
| Deposited On: | 08 Jul 2024 11:15 | ||||||||||||||||
| Last Modified: | 27 Jun 2025 08:36 |
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