Observation of 2D dam break flow and a gaseous phase of solitons in a photon fluid
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866914958924578816 |
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| author | Dieli, Ludovica Pierangeli, Davide DelRe, Eugenio Conti, Claudio |
| author_facet | Dieli, Ludovica Pierangeli, Davide DelRe, Eugenio Conti, Claudio |
| contents | We report the observation of a two-dimensional dam break flow of a photon fluid in a nonlinear optical crystal. By precisely shaping the amplitude and phase of the input wave, we investigate the transition from one-dimensional (1D) to two-dimensional (2D) nonlinear dynamics. We observe wave breaking in both transverse spatial dimensions with characteristic timescales determined by the aspect ratio of the input box-shaped field. The interaction of dispersive shock waves propagating in orthogonal directions gives rise to a 2D ensemble of solitons. Depending on the box size, we report the evidence of a dynamic phase characterized by a constant number of solitons, resembling a 1D solitons gas in integrable systems. We measure the statistical features of this gaseous-like phase. Our findings pave the way to the investigation of collective solitonic phenomena in two dimensions, demonstrating that the loss of integrability does not disrupt the dominant phenomenology. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_18738 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Observation of 2D dam break flow and a gaseous phase of solitons in a photon fluid Dieli, Ludovica Pierangeli, Davide DelRe, Eugenio Conti, Claudio Pattern Formation and Solitons Optics We report the observation of a two-dimensional dam break flow of a photon fluid in a nonlinear optical crystal. By precisely shaping the amplitude and phase of the input wave, we investigate the transition from one-dimensional (1D) to two-dimensional (2D) nonlinear dynamics. We observe wave breaking in both transverse spatial dimensions with characteristic timescales determined by the aspect ratio of the input box-shaped field. The interaction of dispersive shock waves propagating in orthogonal directions gives rise to a 2D ensemble of solitons. Depending on the box size, we report the evidence of a dynamic phase characterized by a constant number of solitons, resembling a 1D solitons gas in integrable systems. We measure the statistical features of this gaseous-like phase. Our findings pave the way to the investigation of collective solitonic phenomena in two dimensions, demonstrating that the loss of integrability does not disrupt the dominant phenomenology. |
| title | Observation of 2D dam break flow and a gaseous phase of solitons in a photon fluid |
| topic | Pattern Formation and Solitons Optics |
| url | https://arxiv.org/abs/2409.18738 |