Experimentally Tractable Generation of High-Order Rogue Waves in Bose-Einstein Condensates
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912238489567232 |
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| author | Adriazola, Jimmie Kevrekidis, Panayotis |
| author_facet | Adriazola, Jimmie Kevrekidis, Panayotis |
| contents | In this work, we study a prototypical, experimentally accessible scenario that enables the systematic generation of so-called high-order rogue waves in atomic Bose-Einstein condensates. These waveforms lead to significantly and controllably more extreme focusing events than the famous Peregrine soliton. In one spatial dimension, we showcase conclusive numerical evidence that our scheme generates the focusing behavior associated with the first four rogue waves from the relevant hierarchy. We then extend considerations to anisotropic two-dimensional and even three-dimensional settings, establishing that the scheme can generate second order rogue waves despite the well-known limitation of finite-time blow up of focusing nonlinear Schrödinger equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_06869 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Experimentally Tractable Generation of High-Order Rogue Waves in Bose-Einstein Condensates Adriazola, Jimmie Kevrekidis, Panayotis Pattern Formation and Solitons Quantum Gases In this work, we study a prototypical, experimentally accessible scenario that enables the systematic generation of so-called high-order rogue waves in atomic Bose-Einstein condensates. These waveforms lead to significantly and controllably more extreme focusing events than the famous Peregrine soliton. In one spatial dimension, we showcase conclusive numerical evidence that our scheme generates the focusing behavior associated with the first four rogue waves from the relevant hierarchy. We then extend considerations to anisotropic two-dimensional and even three-dimensional settings, establishing that the scheme can generate second order rogue waves despite the well-known limitation of finite-time blow up of focusing nonlinear Schrödinger equations. |
| title | Experimentally Tractable Generation of High-Order Rogue Waves in Bose-Einstein Condensates |
| topic | Pattern Formation and Solitons Quantum Gases |
| url | https://arxiv.org/abs/2406.06869 |