Topological constraints on the dynamics of vortex formation in a two-dimensional quantum fluid
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866910301976264704 |
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| author | Congy, Thibault Azam, Pierre Kaiser, Robin Pavloff, Nicolas |
| author_facet | Congy, Thibault Azam, Pierre Kaiser, Robin Pavloff, Nicolas |
| contents | We present experimental and theoretical results on formation of quantum vortices in a laser beam propagating in a nonlinear medium. Topological constrains richer than the mere conservation of vorticity impose an elaborate dynamical behavior to the formation and annihilation of vortex-antivortex pairs. We identify two such mechanisms, both described by the same fold-Hopf bifurcation. One of them is particularly efficient although it is not observed in the context of liquid helium films or stationary systems because it relies on the compressible nature of the fluid of light we consider and on the non-stationarity of its flow. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2308_02305 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Topological constraints on the dynamics of vortex formation in a two-dimensional quantum fluid Congy, Thibault Azam, Pierre Kaiser, Robin Pavloff, Nicolas Optics Quantum Gases Pattern Formation and Solitons We present experimental and theoretical results on formation of quantum vortices in a laser beam propagating in a nonlinear medium. Topological constrains richer than the mere conservation of vorticity impose an elaborate dynamical behavior to the formation and annihilation of vortex-antivortex pairs. We identify two such mechanisms, both described by the same fold-Hopf bifurcation. One of them is particularly efficient although it is not observed in the context of liquid helium films or stationary systems because it relies on the compressible nature of the fluid of light we consider and on the non-stationarity of its flow. |
| title | Topological constraints on the dynamics of vortex formation in a two-dimensional quantum fluid |
| topic | Optics Quantum Gases Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2308.02305 |