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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2305.01293 |
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| _version_ | 1866911761334009856 |
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| author | Huynh, Juliette Hébert, Frédéric Albert, Mathias Larré, Pierre-Élie |
| author_facet | Huynh, Juliette Hébert, Frédéric Albert, Mathias Larré, Pierre-Élie |
| contents | We theoretically investigate the critical velocity for dissipationless motion of a two-dimensional superfluid past a static potential barrier of large width. The circular-shaped barrier provides a comprehensive analytical framework for the critical speed, for which we derive closed-form expressions using the hydraulic approximation, the hodograph method, and Janzen-Rayleigh expansions of the velocity potential. These analytical estimates are shown to be in good agreement with the numerical results of an imaginary-time integration of the full wave equation. In contrast to most of the state of the art, our study is not restricted to an impenetrable potential barrier nor to a quartic interaction Hamiltonian, which enables realistic modeling of recent experiments with atomic Bose-Einstein condensates and paraxial superfluids of light in two dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01293 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Critical velocity of a two-dimensional superflow past a potential barrier of arbitrary penetrability Huynh, Juliette Hébert, Frédéric Albert, Mathias Larré, Pierre-Élie Quantum Gases We theoretically investigate the critical velocity for dissipationless motion of a two-dimensional superfluid past a static potential barrier of large width. The circular-shaped barrier provides a comprehensive analytical framework for the critical speed, for which we derive closed-form expressions using the hydraulic approximation, the hodograph method, and Janzen-Rayleigh expansions of the velocity potential. These analytical estimates are shown to be in good agreement with the numerical results of an imaginary-time integration of the full wave equation. In contrast to most of the state of the art, our study is not restricted to an impenetrable potential barrier nor to a quartic interaction Hamiltonian, which enables realistic modeling of recent experiments with atomic Bose-Einstein condensates and paraxial superfluids of light in two dimensions. |
| title | Critical velocity of a two-dimensional superflow past a potential barrier of arbitrary penetrability |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2305.01293 |