Scaling Laws Governing the Collapse of a Bose-Einstein Condensate
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arXiv
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| Auteurs principaux: | , , , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916677761892352 |
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| author | Morris, Sebastian J. Ho, Christopher J. Fischer, Simon M. Etrych, Jiří Martirosyan, Gevorg Hadzibabic, Zoran Eigen, Christoph |
| author_facet | Morris, Sebastian J. Ho, Christopher J. Fischer, Simon M. Etrych, Jiří Martirosyan, Gevorg Hadzibabic, Zoran Eigen, Christoph |
| contents | We study the collapse of an attractive Bose-Einstein condensate, where an unstable system evolves towards a singularity, by numerically solving the underlying cubic-quintic nonlinear Schrödinger equation. We find good agreement between our simulations and the atom-loss measurements with a $^{39}$K condensate. Our simulations reveal an interplay of weak collapse and the propensity of the system to form a hotspot, and we uncover new scaling laws that govern this behavior. We also identify promising signatures of the theoretically predicted, but so far experimentally elusive, elastic three-body interactions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_19948 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scaling Laws Governing the Collapse of a Bose-Einstein Condensate Morris, Sebastian J. Ho, Christopher J. Fischer, Simon M. Etrych, Jiří Martirosyan, Gevorg Hadzibabic, Zoran Eigen, Christoph Quantum Gases Mathematical Physics Pattern Formation and Solitons Plasma Physics Quantum Physics We study the collapse of an attractive Bose-Einstein condensate, where an unstable system evolves towards a singularity, by numerically solving the underlying cubic-quintic nonlinear Schrödinger equation. We find good agreement between our simulations and the atom-loss measurements with a $^{39}$K condensate. Our simulations reveal an interplay of weak collapse and the propensity of the system to form a hotspot, and we uncover new scaling laws that govern this behavior. We also identify promising signatures of the theoretically predicted, but so far experimentally elusive, elastic three-body interactions. |
| title | Scaling Laws Governing the Collapse of a Bose-Einstein Condensate |
| topic | Quantum Gases Mathematical Physics Pattern Formation and Solitons Plasma Physics Quantum Physics |
| url | https://arxiv.org/abs/2411.19948 |