Space-time quasicrystals 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_ | 1866929358911832064 |
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| author | Friedland, L. Shagalov, A. G |
| author_facet | Friedland, L. Shagalov, A. G |
| contents | An autoresonant approach for exciting space-time quasicrystals in Bose-Einstein condensates is proposed by employing two-component chirped frequency parametric driving or modulation of the interaction strength within Gross-Pitaevskii equation. A weakly nonlinear theory of the process is developed using Whitham's averaged variational principle yielding reduction to a two-degrees-of-freedom dynamical system in action-angle variables. Additionally, the theory also delineates permissible driving parameters and establishes thresholds on the driving amplitudes required for autoresonant excitation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_14382 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Space-time quasicrystals in Bose-Einstein condensates Friedland, L. Shagalov, A. G Pattern Formation and Solitons Atomic Physics An autoresonant approach for exciting space-time quasicrystals in Bose-Einstein condensates is proposed by employing two-component chirped frequency parametric driving or modulation of the interaction strength within Gross-Pitaevskii equation. A weakly nonlinear theory of the process is developed using Whitham's averaged variational principle yielding reduction to a two-degrees-of-freedom dynamical system in action-angle variables. Additionally, the theory also delineates permissible driving parameters and establishes thresholds on the driving amplitudes required for autoresonant excitation. |
| title | Space-time quasicrystals in Bose-Einstein condensates |
| topic | Pattern Formation and Solitons Atomic Physics |
| url | https://arxiv.org/abs/2403.14382 |