Spatiotemporal Chaos and Extended Self-Similarity of Bose Einstein Condensates in a 1D Harmonic Trap
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929642693197824 |
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| author | Zhao, Mingshu |
| author_facet | Zhao, Mingshu |
| contents | We investigate spatiotemporal chaos in Bose-Einstein condensate (BEC) confined by a 1D harmonic trap using Gross-Pitaevskii equation simulations. The chaos arises from nonlinear mixing of ground and excited states, confirmed by positive Lyapunov exponents. By sampling the density field at intervals matching the center-of-mass oscillation period, we analyze the density structure function. Both spatial and temporal density structure functions reveal Kolmogorov-like scaling through extended self-similarity (ESS). Our findings suggest that ESS and density structure functions provide experimentally accessible tools to explore spatiotemporal chaos and turbulence-like behavior in BECs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_10540 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spatiotemporal Chaos and Extended Self-Similarity of Bose Einstein Condensates in a 1D Harmonic Trap Zhao, Mingshu Chaotic Dynamics We investigate spatiotemporal chaos in Bose-Einstein condensate (BEC) confined by a 1D harmonic trap using Gross-Pitaevskii equation simulations. The chaos arises from nonlinear mixing of ground and excited states, confirmed by positive Lyapunov exponents. By sampling the density field at intervals matching the center-of-mass oscillation period, we analyze the density structure function. Both spatial and temporal density structure functions reveal Kolmogorov-like scaling through extended self-similarity (ESS). Our findings suggest that ESS and density structure functions provide experimentally accessible tools to explore spatiotemporal chaos and turbulence-like behavior in BECs. |
| title | Spatiotemporal Chaos and Extended Self-Similarity of Bose Einstein Condensates in a 1D Harmonic Trap |
| topic | Chaotic Dynamics |
| url | https://arxiv.org/abs/2411.10540 |