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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2412.07368 |
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| _version_ | 1866917864935522304 |
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| author | Kokubo, Haruya Kasamatsu, Kenichi Takeuchi, Hiromitsu |
| author_facet | Kokubo, Haruya Kasamatsu, Kenichi Takeuchi, Hiromitsu |
| contents | We study theoretically the critical velocity $U_c$ for quantum vortex generation by a thin plate-shaped obstacle moving through a uniform Bose-Einstein condensate. Our results based on the Gross-Pitaevskii theory reveal that the critical velocity monotonically decreases with increasing plate size $L$. In the limit of large $L$, the critical velocity is asymptotic to $L^{-1/2}$ predicted by the potential flow theory for an incompressible ideal fluid with a phenomenological length correction. As $L$ decreases, however, the incompressible analysis breaks down quantitatively. By performing a perturbative analysis to incorporate compressibility into the potential flow theory, we have successfully reproduced the numerical results analytically over a wide parameter range. It is also shown that the critical velocity increases with finite plate thickness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_07368 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Critical velocity for wake vortex generation behind a plate in a superflow Kokubo, Haruya Kasamatsu, Kenichi Takeuchi, Hiromitsu Quantum Gases We study theoretically the critical velocity $U_c$ for quantum vortex generation by a thin plate-shaped obstacle moving through a uniform Bose-Einstein condensate. Our results based on the Gross-Pitaevskii theory reveal that the critical velocity monotonically decreases with increasing plate size $L$. In the limit of large $L$, the critical velocity is asymptotic to $L^{-1/2}$ predicted by the potential flow theory for an incompressible ideal fluid with a phenomenological length correction. As $L$ decreases, however, the incompressible analysis breaks down quantitatively. By performing a perturbative analysis to incorporate compressibility into the potential flow theory, we have successfully reproduced the numerical results analytically over a wide parameter range. It is also shown that the critical velocity increases with finite plate thickness. |
| title | Critical velocity for wake vortex generation behind a plate in a superflow |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2412.07368 |