Vortex stability in interacting Bose-Einstein condensates
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910779733704704 |
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| author | Srinivasan, Ajay Wirthwein, Aaron Haas, Stephan |
| author_facet | Srinivasan, Ajay Wirthwein, Aaron Haas, Stephan |
| contents | We study the stability of vortices in a binary system of Bose-Einstein condensates, with their wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective two-dimensional system, we identify miscible and immiscible regimes characterized by the inter- and intra-atomic interactions and the initial configuration of the system. We then consider a binary system of Bose-Einstein condensates placed in a rotating harmonic trap and study the single vortex state in this system. We derive an approximate form for the energy of a single vortex in the binary system and the critical angular velocity for the global stability of a vortex at the center of the trap. We also compute the metastability onset angular velocity for the local stability of a vortex at the center of the trap. Numerical solutions to the Gross-Pitaevskii equations support these expressions. These rotational results inform us of a novel subphase within the miscible regime of the binary condensate system. We thus demonstrate the non-trivial aspects of vortex stability in interacting binary Bose-Einstein condensates as a result of their non-linear interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06119 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Vortex stability in interacting Bose-Einstein condensates Srinivasan, Ajay Wirthwein, Aaron Haas, Stephan Quantum Gases We study the stability of vortices in a binary system of Bose-Einstein condensates, with their wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective two-dimensional system, we identify miscible and immiscible regimes characterized by the inter- and intra-atomic interactions and the initial configuration of the system. We then consider a binary system of Bose-Einstein condensates placed in a rotating harmonic trap and study the single vortex state in this system. We derive an approximate form for the energy of a single vortex in the binary system and the critical angular velocity for the global stability of a vortex at the center of the trap. We also compute the metastability onset angular velocity for the local stability of a vortex at the center of the trap. Numerical solutions to the Gross-Pitaevskii equations support these expressions. These rotational results inform us of a novel subphase within the miscible regime of the binary condensate system. We thus demonstrate the non-trivial aspects of vortex stability in interacting binary Bose-Einstein condensates as a result of their non-linear interactions. |
| title | Vortex stability in interacting Bose-Einstein condensates |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2501.06119 |