Traveling Bubbles and Vortex Pairs within Symmetric 2D Quantum Droplets
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910970147766272 |
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| author | Paredes, Angel Guerra-Carmenate, Jose Salgueiro, Jose R. Tommasini, Daniele Michinel, Humberto |
| author_facet | Paredes, Angel Guerra-Carmenate, Jose Salgueiro, Jose R. Tommasini, Daniele Michinel, Humberto |
| contents | We disclose a class of stable nonlinear traveling waves moving at specific constant velocities within symmetric two-dimensional quantum droplets. We present a comprehensive analysis of these traveling bubbles and identify three qualitatively distinct regions within the one-parameter family of solutions, classified by velocity: (i) well-separated phase singularities at low velocity, (ii) singularities within the same density dip at intermediate velocity, and (iii) rarefaction pulses without singularities at higher (subsonic) velocities. Then, we generalize the discussion to unstable cases, incorporating higher order vortex-antivortex pairs and arrays of vortices that move cohesively with a common velocity within the fluid. In all cases, we provide analytic approximations that aid the understanding of the results in different regimes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12810 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Traveling Bubbles and Vortex Pairs within Symmetric 2D Quantum Droplets Paredes, Angel Guerra-Carmenate, Jose Salgueiro, Jose R. Tommasini, Daniele Michinel, Humberto Pattern Formation and Solitons Quantum Gases We disclose a class of stable nonlinear traveling waves moving at specific constant velocities within symmetric two-dimensional quantum droplets. We present a comprehensive analysis of these traveling bubbles and identify three qualitatively distinct regions within the one-parameter family of solutions, classified by velocity: (i) well-separated phase singularities at low velocity, (ii) singularities within the same density dip at intermediate velocity, and (iii) rarefaction pulses without singularities at higher (subsonic) velocities. Then, we generalize the discussion to unstable cases, incorporating higher order vortex-antivortex pairs and arrays of vortices that move cohesively with a common velocity within the fluid. In all cases, we provide analytic approximations that aid the understanding of the results in different regimes. |
| title | Traveling Bubbles and Vortex Pairs within Symmetric 2D Quantum Droplets |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/2412.12810 |