Freiburg 2024 – scientific programme
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A: Fachverband Atomphysik
A 3: Bosonic Quantum Gases I (joint session Q/A)
A 3.8: Talk
Monday, March 11, 2024, 12:45–13:00, Aula
Solitons on the surface of a sphere — •Alexander Wolf1,2, Vladimir Konotop3, and Maxim Efremov2 — 1Institute of Quantum Physics and Center for Integrated Quantum Science and Technology (IQST), Ulm University, D-89081 Ulm, Germany — 2German Aerospace Center (DLR), Institute of Quantum Technologies, D-89081 Ulm, Germany — 3Departamento de Física and Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Campo Grande, Ed. C8, Lisboa 1749-016, Portugal
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).
Keywords: BEC; Shell-shaped BEC; Solitons