Localized States in Dipolar Bose-Einstein Condensates: To be or not to be of second order
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866908502641868800 |
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| author | Steinberg, Alina Barbara Maucher, Fabian Gurevich, Svetlana Thiele, Uwe |
| author_facet | Steinberg, Alina Barbara Maucher, Fabian Gurevich, Svetlana Thiele, Uwe |
| contents | We report the existence of localized states in dipolar Bose-Einstein condensates confined to a tubular geometry. We first perform a bifurcation analysis to track their emergence in a one-dimensional domain for numerical feasibility and find that localized states can become the ground state in suitable parameter regions. Their existence for parameters featuring a supercritical primary bifurcation shows that the latter is not sufficient to conclude that the phase transition is of second order, hence density modulations can jump rather than emerging gradually. Finally, we show that localized states also exist in a three-dimensional domain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_09177 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Localized States in Dipolar Bose-Einstein Condensates: To be or not to be of second order Steinberg, Alina Barbara Maucher, Fabian Gurevich, Svetlana Thiele, Uwe Quantum Gases Pattern Formation and Solitons We report the existence of localized states in dipolar Bose-Einstein condensates confined to a tubular geometry. We first perform a bifurcation analysis to track their emergence in a one-dimensional domain for numerical feasibility and find that localized states can become the ground state in suitable parameter regions. Their existence for parameters featuring a supercritical primary bifurcation shows that the latter is not sufficient to conclude that the phase transition is of second order, hence density modulations can jump rather than emerging gradually. Finally, we show that localized states also exist in a three-dimensional domain. |
| title | Localized States in Dipolar Bose-Einstein Condensates: To be or not to be of second order |
| topic | Quantum Gases Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2407.09177 |